org.biojava.nbio.structure.xtal.spacegroups.xml Maven / Gradle / Ivy
Go to download
Show more of this group Show more artifacts with this name
Show all versions of biojava-structure Show documentation
Show all versions of biojava-structure Show documentation
The protein structure modules of BioJava.
<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<ns2:SpaceGroupMapRoot xmlns:ns2="http://www.biojava.org">
<mapProperty>
<item>
<key>1</key>
<ns2:SpaceGroup>
<bravLattice>TRICLINIC</bravLattice>
<id>1</id>
<multiplicity>1</multiplicity>
<primitiveMultiplicity>1</primitiveMultiplicity>
<shortSymbol>P 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>2</key>
<ns2:SpaceGroup>
<bravLattice>TRICLINIC</bravLattice>
<id>2</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P -1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>3</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>3</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>4</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>4</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 21 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y+1/2,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>5</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>5</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>C 1 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>6</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>6</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>7</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>7</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>8</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>8</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>C 1 m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>9</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>9</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>C 1 c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>10</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>10</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 2/m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>-X,-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>11</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>11</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 21/m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>12</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>12</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 1 2/m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>13</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>13</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 2/c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>14</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>14</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 21/c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,-Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>15</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>15</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 1 2/c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>16</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>16</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 2 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>17</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>17</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 2 2 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>18</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>18</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 21 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>19</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>19</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 21 21 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>20</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>20</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 2 2 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>21</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>21</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 2 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>22</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>22</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>F 2 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>23</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>23</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I 2 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,-Z</item>
<item>-X,Y,-Z</item>
<item>X+1/2,Y+1/2,Z+1/2</item>
<item>-X+1/2,-Y+1/2,Z+1/2</item>
<item>X+1/2,-Y+1/2,-Z+1/2</item>
<item>-X+1/2,Y+1/2,-Z+1/2</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>24</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>24</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I 21 21 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>25</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>25</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P m m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>26</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>26</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P m c 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>27</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>27</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P c c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>28</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>28</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P m a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,-Y,Z</item>
<item>1/2-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>29</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>29</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P c a 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>1/2+X,-Y,Z</item>
<item>1/2-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>30</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>30</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P n c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>31</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>31</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P m n 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>32</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>32</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P b a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>33</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>33</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P n a 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>34</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>34</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P n n 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>35</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>35</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C m m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>36</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>36</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C m c 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>37</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>37</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C c c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>38</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>38</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>A m m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>39</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>39</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>A b m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,1/2-Y,Z</item>
<item>-X,1/2+Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>40</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>40</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>A m a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,-Y,Z</item>
<item>1/2-X,Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>41</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>41</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>A b a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>42</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>42</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>F m m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>43</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>43</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>F d d 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/4+X,1/4-Y,1/4+Z</item>
<item>1/4-X,1/4+Y,1/4+Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/4+X,3/4-Y,3/4+Z</item>
<item>1/4-X,3/4+Y,3/4+Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>3/4+X,1/4-Y,3/4+Z</item>
<item>3/4-X,1/4+Y,3/4+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>3/4+X,3/4-Y,1/4+Z</item>
<item>3/4-X,3/4+Y,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>44</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>44</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I m m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>45</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>45</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I b a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>46</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>46</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I m a 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,-Y,Z</item>
<item>1/2-X,Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>47</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/m 2/m 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>47</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>48</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/n 2/n 2/n</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>48</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P n n n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>49</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/c 2/c 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>49</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P c c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>50</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/b 2/a 2/n</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>50</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P b a n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>51</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/m 2/m 2/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>51</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P m m a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>1/2+X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>1/2-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>52</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/n 21/n 2/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>52</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P n n a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>53</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/m 2/n 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>53</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P m n a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>54</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/c 2/c 2/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>54</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P c c a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,Z</item>
<item>-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>55</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/b 21/a 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>55</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P b a m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>56</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/c 21/c 2/n</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>56</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P c c n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>57</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/b 21/c 21/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>57</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P b c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>58</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/n 21/n 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>58</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P n n m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>59</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/m 21/m 2/n</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>59</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P m m n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,Y+1/2,-Z</item>
<item>X+1/2,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>X+1/2,Y+1/2,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>60</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/b 2/c 21/n</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>60</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P b c n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>61</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/b 21/c 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>61</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P b c a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>62</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/n 21/m 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>62</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P n m a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X+1/2,-Y,Z+1/2</item>
<item>-X,Y+1/2,-Z</item>
<item>X+1/2,-Y+1/2,-Z+1/2</item>
<item>-X,-Y,-Z</item>
<item>X+1/2,Y,-Z+1/2</item>
<item>X,-Y+1/2,Z</item>
<item>-X+1/2,Y+1/2,Z+1/2</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>63</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/m 2/c 21/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>63</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C m c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,1/2-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>64</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/m 2/c 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>64</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C m c a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>65</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/m 2/m 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>65</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>66</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/c 2/c 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>66</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C c c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>67</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/m 2/m 2/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>67</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C m m a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2+Y,-Z</item>
<item>X,1/2-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,Y,-Z</item>
<item>1/2+X,-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>68</key>
<ns2:SpaceGroup>
<altShortSymbol>C 2/c 2/c 2/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>68</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>C c c a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,1/2-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>69</key>
<ns2:SpaceGroup>
<altShortSymbol>F 2/m 2/m 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>69</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>F m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>70</key>
<ns2:SpaceGroup>
<altShortSymbol>F 2/d 2/d 2/d</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>70</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>F d d d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/4-X,1/4-Y,1/4-Z</item>
<item>1/4+X,1/4+Y,1/4-Z</item>
<item>1/4+X,1/4-Y,1/4+Z</item>
<item>1/4-X,1/4+Y,1/4+Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/4-X,3/4-Y,3/4-Z</item>
<item>1/4+X,3/4+Y,3/4-Z</item>
<item>1/4+X,3/4-Y,3/4+Z</item>
<item>1/4-X,3/4+Y,3/4+Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>3/4-X,1/4-Y,3/4-Z</item>
<item>3/4+X,1/4+Y,3/4-Z</item>
<item>3/4+X,1/4-Y,3/4+Z</item>
<item>3/4-X,1/4+Y,3/4+Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>3/4-X,3/4-Y,1/4-Z</item>
<item>3/4+X,3/4+Y,1/4-Z</item>
<item>3/4+X,3/4-Y,1/4+Z</item>
<item>3/4-X,3/4+Y,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>71</key>
<ns2:SpaceGroup>
<altShortSymbol>I 2/m 2/m 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>71</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>72</key>
<ns2:SpaceGroup>
<altShortSymbol>I 2/b 2/a 2/m</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>72</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I b a m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>73</key>
<ns2:SpaceGroup>
<altShortSymbol>I 21/b 21/c 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>73</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I b c a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,-Z</item>
<item>1/2+X,-Y,Z</item>
<item>-X,Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>74</key>
<ns2:SpaceGroup>
<altShortSymbol>I 21/m 21/m 21/a</altShortSymbol>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>74</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I m m a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2+Y,-Z</item>
<item>X,1/2-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>75</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>75</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 4</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>76</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>76</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 41</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-Y,X,1/4+Z</item>
<item>Y,-X,3/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>77</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>77</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 42</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>78</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>78</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 43</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-Y,X,3/4+Z</item>
<item>Y,-X,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>79</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>79</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I 4</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>80</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>80</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I 41</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>81</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>81</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P -4</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>82</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>82</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I -4</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>83</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>83</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>84</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>84</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-Y,X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>85</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>85</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4/n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>86</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>86</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42/n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>87</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>87</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 4/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>88</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>88</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 41/a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>-X,1/2-Y,1/4-Z</item>
<item>1/2+X,Y,3/4-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>1/2-X,-Y,3/4-Z</item>
<item>X,1/2+Y,1/4-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>89</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>89</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>90</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>90</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>91</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>91</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 41 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-Y,X,1/4+Z</item>
<item>Y,-X,3/4+Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>Y,X,3/4-Z</item>
<item>-Y,-X,1/4-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>92</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>92</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 41 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,1/2-X,3/4+Z</item>
<item>1/2-X,1/2+Y,1/4-Z</item>
<item>1/2+X,1/2-Y,3/4-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>93</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>93</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>94</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>94</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>95</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>95</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 43 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-Y,X,3/4+Z</item>
<item>Y,-X,1/4+Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>Y,X,1/4-Z</item>
<item>-Y,-X,3/4-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>96</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>96</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 43 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,3/4+Z</item>
<item>1/2+Y,1/2-X,1/4+Z</item>
<item>1/2-X,1/2+Y,3/4-Z</item>
<item>1/2+X,1/2-Y,1/4-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>97</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>97</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 4 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>98</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>98</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 41 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>1/2-X,Y,3/4-Z</item>
<item>X,1/2-Y,1/4-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>-X,1/2+Y,1/4-Z</item>
<item>1/2+X,-Y,3/4-Z</item>
<item>Y,X,-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>99</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>99</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>100</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>100</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 b m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>101</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>101</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>102</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>102</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 n m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>103</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>103</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 c c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>104</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>104</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 4 n c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>105</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>105</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 m c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>106</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>106</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 b c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>107</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>107</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 4 m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>108</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>108</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 4 c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>109</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>109</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 41 m d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>X,-Y,Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>-Y,1/2-X,1/4+Z</item>
<item>1/2+Y,X,3/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>-X,Y,Z</item>
<item>1/2-Y,-X,3/4+Z</item>
<item>Y,1/2+X,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>110</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>110</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I 41 c d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Y,1/2-X,3/4+Z</item>
<item>1/2+Y,X,1/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Y,-X,1/4+Z</item>
<item>Y,1/2+X,3/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>111</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>111</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 2 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>112</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>112</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 2 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>113</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>113</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 21 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>114</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>114</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 21 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>115</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>115</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>116</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>116</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>117</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>117</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 b 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>118</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>118</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P -4 n 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>119</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>119</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I -4 m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>120</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>120</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I -4 c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>121</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>121</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I -4 2 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>122</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>122</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>I -4 2 d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-X,Y,3/4-Z</item>
<item>1/2+X,-Y,3/4-Z</item>
<item>1/2-Y,-X,3/4+Z</item>
<item>1/2+Y,X,3/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>-X,1/2+Y,1/4-Z</item>
<item>X,1/2-Y,1/4-Z</item>
<item>-Y,1/2-X,1/4+Z</item>
<item>Y,1/2+X,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>123</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/m 2/m 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>123</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>124</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/m 2/c 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>124</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/m c c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>125</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/n 2/b 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>125</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/n b m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+Y,1/2-X,-Z</item>
<item>1/2-Y,1/2+X,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>126</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/n 2/n 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>126</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/n n c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>127</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/m 21/b 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>127</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/m b m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>128</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/m 21/n 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>128</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/m n c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>129</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/n 21/m 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>129</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/n m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>130</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/n 2/c 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>130</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P4/n c c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>131</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/m 2/m 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>131</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/m m c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-Y,X,1/2-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>132</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/m 2/c 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>132</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/m c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-Y,X,1/2-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>133</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/n 2/b 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>133</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/n b c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>134</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/n 2/n 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>134</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/n n m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>135</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/m 21/b 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>135</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/m b c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,1/2+Z</item>
<item>Y,-X,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-Y,X,1/2-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>136</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/m 21/n 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>136</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/m n m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X+1/2,Z+1/2</item>
<item>Y+1/2,1/2-X,Z+1/2</item>
<item>1/2-X,Y+1/2,1/2-Z</item>
<item>X+1/2,1/2-Y,1/2-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y+1/2,1/2-X,1/2-Z</item>
<item>1/2-Y,X+1/2,1/2-Z</item>
<item>X+1/2,1/2-Y,Z+1/2</item>
<item>1/2-X,Y+1/2,Z+1/2</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>137</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/n 21/m 2/c</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>137</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/n m c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>138</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/n 21/c 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>138</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>P42/n c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>139</key>
<ns2:SpaceGroup>
<altShortSymbol>I 4/m 2/m 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>139</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>I4/m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>140</key>
<ns2:SpaceGroup>
<altShortSymbol>I 4/m 2/c 2/m</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>140</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>I4/m c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-Y,X,Z</item>
<item>Y,-X,Z</item>
<item>-X,Y,1/2-Z</item>
<item>X,-Y,1/2-Z</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>-X,Y,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>141</key>
<ns2:SpaceGroup>
<altShortSymbol>I 41/a 2/m 2/d</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>141</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>I41/a m d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>1/2-X,Y,3/4-Z</item>
<item>X,1/2-Y,1/4-Z</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>-Y,-X,-Z</item>
<item>-X,1/2-Y,1/4-Z</item>
<item>1/2+X,Y,3/4-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>-X,Y,Z</item>
<item>1/2-Y,-X,3/4+Z</item>
<item>Y,1/2+X,1/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>-X,1/2+Y,1/4-Z</item>
<item>1/2+X,-Y,3/4-Z</item>
<item>Y,X,-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2-X,-Y,3/4-Z</item>
<item>X,1/2+Y,1/4-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>-Y,1/2-X,1/4+Z</item>
<item>1/2+Y,X,3/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>142</key>
<ns2:SpaceGroup>
<altShortSymbol>I 41/a 2/c 2/d</altShortSymbol>
<bravLattice>TETRAGONAL</bravLattice>
<id>142</id>
<multiplicity>32</multiplicity>
<primitiveMultiplicity>16</primitiveMultiplicity>
<shortSymbol>I41/a c d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>-Y,1/2+X,1/4+Z</item>
<item>1/2+Y,-X,3/4+Z</item>
<item>1/2-X,Y,1/4-Z</item>
<item>X,1/2-Y,3/4-Z</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>-X,1/2-Y,1/4-Z</item>
<item>1/2+X,Y,3/4-Z</item>
<item>Y,-X,-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Y,-X,1/4+Z</item>
<item>Y,1/2+X,3/4+Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-Y,X,3/4+Z</item>
<item>Y,1/2-X,1/4+Z</item>
<item>-X,1/2+Y,3/4-Z</item>
<item>1/2+X,-Y,1/4-Z</item>
<item>Y,X,1/2-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>1/2-X,-Y,3/4-Z</item>
<item>X,1/2+Y,1/4-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>-Y,X,-Z</item>
<item>X,-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Y,1/2-X,3/4+Z</item>
<item>1/2+Y,X,1/4+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>143</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>143</id>
<multiplicity>3</multiplicity>
<primitiveMultiplicity>3</primitiveMultiplicity>
<shortSymbol>P 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>144</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>144</id>
<multiplicity>3</multiplicity>
<primitiveMultiplicity>3</primitiveMultiplicity>
<shortSymbol>P 31</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+1/3</item>
<item>Y-X,-X,Z+2/3</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>145</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>145</id>
<multiplicity>3</multiplicity>
<primitiveMultiplicity>3</primitiveMultiplicity>
<shortSymbol>P 32</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+2/3</item>
<item>Y-X,-X,Z+1/3</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>146</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>146</id>
<multiplicity>9</multiplicity>
<primitiveMultiplicity>3</primitiveMultiplicity>
<shortSymbol>H 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X+2/3,Y+1/3,Z+1/3</item>
<item>-Y+2/3,X-Y+1/3,Z+1/3</item>
<item>Y-X+2/3,-X+1/3,Z+1/3</item>
<item>X+1/3,Y+2/3,Z+2/3</item>
<item>-Y+1/3,X-Y+2/3,Z+2/3</item>
<item>Y-X+1/3,-X+2/3,Z+2/3</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>147</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>147</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>148</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>148</id>
<multiplicity>18</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>H -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3-X,1/3-Y,1/3-Z</item>
<item>2/3+Y,1/3+Y-X,1/3-Z</item>
<item>2/3+X-Y,1/3+X,1/3-Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3-X,2/3-Y,2/3-Z</item>
<item>1/3+Y,2/3+Y-X,2/3-Z</item>
<item>1/3+X-Y,2/3+X,2/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>149</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>149</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 1 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>150</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>150</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>151</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>151</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 31 1 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,1/3+Z</item>
<item>Y-X,-X,2/3+Z</item>
<item>-Y,-X,2/3-Z</item>
<item>Y-X,Y,1/3-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>152</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>152</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 31 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+1/3</item>
<item>Y-X,-X,Z+2/3</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,2/3-Z</item>
<item>-X,Y-X,1/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>153</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>153</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 32 1 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,2/3+Z</item>
<item>Y-X,-X,1/3+Z</item>
<item>-Y,-X,1/3-Z</item>
<item>Y-X,Y,2/3-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>154</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>154</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 32 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+2/3</item>
<item>Y-X,-X,Z+1/3</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,1/3-Z</item>
<item>-X,Y-X,2/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>155</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>155</id>
<multiplicity>18</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>H 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3+Y,1/3+X,1/3-Z</item>
<item>2/3+X-Y,1/3-Y,1/3-Z</item>
<item>2/3-X,1/3+Y-X,1/3-Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3+Y,2/3+X,2/3-Z</item>
<item>1/3+X-Y,2/3-Y,2/3-Z</item>
<item>1/3-X,2/3+Y-X,2/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>156</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>156</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>157</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>157</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 1 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>158</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>158</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>159</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>159</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 3 1 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>160</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>160</id>
<multiplicity>18</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>H 3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3-Y,1/3-X,1/3+Z</item>
<item>2/3+Y-X,1/3+Y,1/3+Z</item>
<item>2/3+X,1/3+X-Y,1/3+Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3-Y,2/3-X,2/3+Z</item>
<item>1/3+Y-X,2/3+Y,2/3+Z</item>
<item>1/3+X,2/3+X-Y,2/3+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>161</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>161</id>
<multiplicity>18</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>H 3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3-Y,1/3-X,5/6+Z</item>
<item>2/3+Y-X,1/3+Y,5/6+Z</item>
<item>2/3+X,1/3+X-Y,5/6+Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3-Y,2/3-X,1/6+Z</item>
<item>1/3+Y-X,2/3+Y,1/6+Z</item>
<item>1/3+X,2/3+X-Y,1/6+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>162</key>
<ns2:SpaceGroup>
<altShortSymbol>P -3 1 2/m</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>162</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -3 1 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>163</key>
<ns2:SpaceGroup>
<altShortSymbol>P -3 1 2/c</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>163</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -3 1 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-Y,-X,1/2-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>164</key>
<ns2:SpaceGroup>
<altShortSymbol>P -3 2/m 1</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>164</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -3 m 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>165</key>
<ns2:SpaceGroup>
<altShortSymbol>P -3 2/c 1</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>165</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -3 c 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,1/2-Z</item>
<item>X-Y,-Y,1/2-Z</item>
<item>-X,Y-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>166</key>
<ns2:SpaceGroup>
<altShortSymbol>H -3 2/m</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>166</id>
<multiplicity>36</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>H -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3+Y,1/3+X,1/3-Z</item>
<item>2/3+X-Y,1/3-Y,1/3-Z</item>
<item>2/3-X,1/3+Y-X,1/3-Z</item>
<item>2/3-X,1/3-Y,1/3-Z</item>
<item>2/3+Y,1/3+Y-X,1/3-Z</item>
<item>2/3+X-Y,1/3+X,1/3-Z</item>
<item>2/3-Y,1/3-X,1/3+Z</item>
<item>2/3+Y-X,1/3+Y,1/3+Z</item>
<item>2/3+X,1/3+X-Y,1/3+Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3+Y,2/3+X,2/3-Z</item>
<item>1/3+X-Y,2/3-Y,2/3-Z</item>
<item>1/3-X,2/3+Y-X,2/3-Z</item>
<item>1/3-X,2/3-Y,2/3-Z</item>
<item>1/3+Y,2/3+Y-X,2/3-Z</item>
<item>1/3+X-Y,2/3+X,2/3-Z</item>
<item>1/3-Y,2/3-X,2/3+Z</item>
<item>1/3+Y-X,2/3+Y,2/3+Z</item>
<item>1/3+X,2/3+X-Y,2/3+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>167</key>
<ns2:SpaceGroup>
<altShortSymbol>H -3 2/c</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>167</id>
<multiplicity>36</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>H -3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>Y,X,1/2-Z</item>
<item>X-Y,-Y,1/2-Z</item>
<item>-X,Y-X,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>2/3+X,1/3+Y,1/3+Z</item>
<item>2/3-Y,1/3+X-Y,1/3+Z</item>
<item>2/3+Y-X,1/3-X,1/3+Z</item>
<item>2/3+Y,1/3+X,5/6-Z</item>
<item>2/3+X-Y,1/3-Y,5/6-Z</item>
<item>2/3-X,1/3+Y-X,5/6-Z</item>
<item>2/3-X,1/3-Y,1/3-Z</item>
<item>2/3+Y,1/3+Y-X,1/3-Z</item>
<item>2/3+X-Y,1/3+X,1/3-Z</item>
<item>2/3-Y,1/3-X,5/6+Z</item>
<item>2/3+Y-X,1/3+Y,5/6+Z</item>
<item>2/3+X,1/3+X-Y,5/6+Z</item>
<item>1/3+X,2/3+Y,2/3+Z</item>
<item>1/3-Y,2/3+X-Y,2/3+Z</item>
<item>1/3+Y-X,2/3-X,2/3+Z</item>
<item>1/3+Y,2/3+X,1/6-Z</item>
<item>1/3+X-Y,2/3-Y,1/6-Z</item>
<item>1/3-X,2/3+Y-X,1/6-Z</item>
<item>1/3-X,2/3-Y,2/3-Z</item>
<item>1/3+Y,2/3+Y-X,2/3-Z</item>
<item>1/3+X-Y,2/3+X,2/3-Z</item>
<item>1/3-Y,2/3-X,1/6+Z</item>
<item>1/3+Y-X,2/3+Y,1/6+Z</item>
<item>1/3+X,2/3+X-Y,1/6+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>168</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>168</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 6</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>169</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>169</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 61</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+1/3</item>
<item>Y-X,-X,Z+2/3</item>
<item>-X,-Y,Z+1/2</item>
<item>Y,Y-X,Z+5/6</item>
<item>X-Y,X,Z+1/6</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>170</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>170</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 65</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z+2/3</item>
<item>Y-X,-X,Z+1/3</item>
<item>-X,-Y,Z+1/2</item>
<item>Y,Y-X,Z+1/6</item>
<item>X-Y,X,Z+5/6</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>171</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>171</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 62</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,2/3+Z</item>
<item>Y-X,-X,1/3+Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,2/3+Z</item>
<item>X-Y,X,1/3+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>172</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>172</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 64</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,1/3+Z</item>
<item>Y-X,-X,2/3+Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,1/3+Z</item>
<item>X-Y,X,2/3+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>173</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>173</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P 63</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>174</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>174</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>P -6</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X,Y,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>Y-X,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>175</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>175</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 6/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>Y-X,-X,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>176</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>176</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 63/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,1/2-Z</item>
<item>-Y,X-Y,1/2-Z</item>
<item>Y-X,-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>177</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>177</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 6 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>178</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>178</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 61 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,1/3+Z</item>
<item>Y-X,-X,2/3+Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,5/6+Z</item>
<item>X-Y,X,1/6+Z</item>
<item>Y,X,1/3-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,2/3-Z</item>
<item>-Y,-X,5/6-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,1/6-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>179</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>179</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 65 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,2/3+Z</item>
<item>Y-X,-X,1/3+Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/6+Z</item>
<item>X-Y,X,5/6+Z</item>
<item>Y,X,2/3-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,1/3-Z</item>
<item>-Y,-X,1/6-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,5/6-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>180</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>180</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 62 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,2/3+Z</item>
<item>Y-X,-X,1/3+Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,2/3+Z</item>
<item>X-Y,X,1/3+Z</item>
<item>Y,X,2/3-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,1/3-Z</item>
<item>-Y,-X,2/3-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,1/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>181</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>181</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 64 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,1/3+Z</item>
<item>Y-X,-X,2/3+Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,1/3+Z</item>
<item>X-Y,X,2/3+Z</item>
<item>Y,X,1/3-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,2/3-Z</item>
<item>-Y,-X,1/3-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,2/3-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>182</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>182</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 63 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>183</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>183</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 6 m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>184</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>184</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 6 c c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>185</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>185</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 63 c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>186</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>186</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 63 m c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>187</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>187</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -6 m 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X,Y,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>Y-X,-X,-Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>188</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>188</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -6 c 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X,Y,1/2-Z</item>
<item>-Y,X-Y,1/2-Z</item>
<item>Y-X,-X,1/2-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>189</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>189</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -6 2 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X,Y,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>Y-X,-X,-Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>190</key>
<ns2:SpaceGroup>
<bravLattice>HEXAGONAL</bravLattice>
<id>190</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P -6 2 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>X,Y,1/2-Z</item>
<item>-Y,X-Y,1/2-Z</item>
<item>Y-X,-X,1/2-Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>191</key>
<ns2:SpaceGroup>
<altShortSymbol>P 6/m 2/m 2/m</altShortSymbol>
<bravLattice>HEXAGONAL</bravLattice>
<id>191</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 6/m m m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,-Z</item>
<item>Y-X,-X,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>192</key>
<ns2:SpaceGroup>
<altShortSymbol>P 6/m 2/c 2/c</altShortSymbol>
<bravLattice>HEXAGONAL</bravLattice>
<id>192</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 6/m c c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,Z</item>
<item>Y,Y-X,Z</item>
<item>X-Y,X,Z</item>
<item>Y,X,1/2-Z</item>
<item>X-Y,-Y,1/2-Z</item>
<item>-X,Y-X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,-Z</item>
<item>Y-X,-X,-Z</item>
<item>-Y,X-Y,-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>193</key>
<ns2:SpaceGroup>
<altShortSymbol>P 63/m 2/c 2/m</altShortSymbol>
<bravLattice>HEXAGONAL</bravLattice>
<id>193</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 63/m c m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>Y,X,1/2-Z</item>
<item>X-Y,-Y,1/2-Z</item>
<item>-X,Y-X,1/2-Z</item>
<item>-Y,-X,-Z</item>
<item>Y-X,Y,-Z</item>
<item>X,X-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,1/2-Z</item>
<item>Y-X,-X,1/2-Z</item>
<item>-Y,X-Y,1/2-Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y-X,Y,1/2+Z</item>
<item>X,X-Y,1/2+Z</item>
<item>Y,X,Z</item>
<item>X-Y,-Y,Z</item>
<item>-X,Y-X,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>194</key>
<ns2:SpaceGroup>
<altShortSymbol>P 63/m 2/m 2/c</altShortSymbol>
<bravLattice>HEXAGONAL</bravLattice>
<id>194</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 63/m m c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-Y,X-Y,Z</item>
<item>Y-X,-X,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>Y,Y-X,1/2+Z</item>
<item>X-Y,X,1/2+Z</item>
<item>Y,X,-Z</item>
<item>X-Y,-Y,-Z</item>
<item>-X,Y-X,-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>Y-X,Y,1/2-Z</item>
<item>X,X-Y,1/2-Z</item>
<item>-X,-Y,-Z</item>
<item>Y,Y-X,-Z</item>
<item>X-Y,X,-Z</item>
<item>X,Y,1/2-Z</item>
<item>Y-X,-X,1/2-Z</item>
<item>-Y,X-Y,1/2-Z</item>
<item>-Y,-X,Z</item>
<item>Y-X,Y,Z</item>
<item>X,X-Y,Z</item>
<item>Y,X,1/2+Z</item>
<item>X-Y,-Y,1/2+Z</item>
<item>-X,Y-X,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>195</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>195</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 2 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>196</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>196</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>F 2 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>197</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>197</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>I 2 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2-X</item>
<item>1/2-Y,1/2-Z,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>198</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>198</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>P 21 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>199</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>199</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>I 21 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>Z,-X,1/2-Y</item>
<item>-Z,1/2-X,Y</item>
<item>1/2-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,-X</item>
<item>Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>200</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/m -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>200</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P m -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>201</key>
<ns2:SpaceGroup>
<altShortSymbol>P 2/n -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>201</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P n -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2+X,1/2-Y</item>
<item>1/2+Z,1/2-X,1/2+Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2+X</item>
<item>1/2+Y,1/2+Z,1/2-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>202</key>
<ns2:SpaceGroup>
<altShortSymbol>F 2/m -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>202</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F m -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
<item>-Z,1/2-X,1/2-Y</item>
<item>-Z,1/2+X,1/2+Y</item>
<item>Z,1/2+X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,1/2-Z,1/2-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>-Y,1/2+Z,1/2+X</item>
<item>Y,1/2+Z,1/2-X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2-Z,-X,1/2-Y</item>
<item>1/2-Z,X,1/2+Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>1/2+Z,-X,1/2+Y</item>
<item>1/2-Y,-Z,1/2-X</item>
<item>1/2+Y,-Z,1/2+X</item>
<item>1/2-Y,Z,1/2+X</item>
<item>1/2+Y,Z,1/2-X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Z,1/2-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,1/2+X,-Y</item>
<item>1/2+Z,1/2-X,Y</item>
<item>1/2-Y,1/2-Z,-X</item>
<item>1/2+Y,1/2-Z,X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,1/2+Z,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>203</key>
<ns2:SpaceGroup>
<altShortSymbol>F 2/d -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>203</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F d -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/4-X,1/4-Y,1/4-Z</item>
<item>1/4+X,1/4+Y,1/4-Z</item>
<item>1/4+X,1/4-Y,1/4+Z</item>
<item>1/4-X,1/4+Y,1/4+Z</item>
<item>1/4-Z,1/4-X,1/4-Y</item>
<item>1/4-Z,1/4+X,1/4+Y</item>
<item>1/4+Z,1/4+X,1/4-Y</item>
<item>1/4+Z,1/4-X,1/4+Y</item>
<item>1/4-Y,1/4-Z,1/4-X</item>
<item>1/4+Y,1/4-Z,1/4+X</item>
<item>1/4-Y,1/4+Z,1/4+X</item>
<item>1/4+Y,1/4+Z,1/4-X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>1/4-X,3/4-Y,3/4-Z</item>
<item>1/4+X,3/4+Y,3/4-Z</item>
<item>1/4+X,3/4-Y,3/4+Z</item>
<item>1/4-X,3/4+Y,3/4+Z</item>
<item>1/4-Z,3/4-X,3/4-Y</item>
<item>1/4-Z,3/4+X,3/4+Y</item>
<item>1/4+Z,3/4+X,3/4-Y</item>
<item>1/4+Z,3/4-X,3/4+Y</item>
<item>1/4-Y,3/4-Z,3/4-X</item>
<item>1/4+Y,3/4-Z,3/4+X</item>
<item>1/4-Y,3/4+Z,3/4+X</item>
<item>1/4+Y,3/4+Z,3/4-X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>3/4-X,1/4-Y,3/4-Z</item>
<item>3/4+X,1/4+Y,3/4-Z</item>
<item>3/4+X,1/4-Y,3/4+Z</item>
<item>3/4-X,1/4+Y,3/4+Z</item>
<item>3/4-Z,1/4-X,3/4-Y</item>
<item>3/4-Z,1/4+X,3/4+Y</item>
<item>3/4+Z,1/4+X,3/4-Y</item>
<item>3/4+Z,1/4-X,3/4+Y</item>
<item>3/4-Y,1/4-Z,3/4-X</item>
<item>3/4+Y,1/4-Z,3/4+X</item>
<item>3/4-Y,1/4+Z,3/4+X</item>
<item>3/4+Y,1/4+Z,3/4-X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>3/4-X,3/4-Y,1/4-Z</item>
<item>3/4+X,3/4+Y,1/4-Z</item>
<item>3/4+X,3/4-Y,Z+1/4</item>
<item>3/4-X,3/4+Y,Z+1/4</item>
<item>3/4-Z,3/4-X,1/4-Y</item>
<item>3/4-Z,3/4+X,1/4+Y</item>
<item>3/4+Z,3/4+X,1/4-Y</item>
<item>3/4+Z,3/4-X,1/4+Y</item>
<item>3/4-Y,3/4-Z,1/4-X</item>
<item>3/4+Y,3/4-Z,1/4+X</item>
<item>3/4-Y,3/4+Z,1/4+X</item>
<item>3/4+Y,3/4+Z,1/4-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>204</key>
<ns2:SpaceGroup>
<altShortSymbol>I 2/m -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>204</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I m -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2-X</item>
<item>1/2-Y,1/2-Z,1/2+X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2+X,1/2-Y</item>
<item>1/2+Z,1/2-X,1/2+Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2+X</item>
<item>1/2+Y,1/2+Z,1/2-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>205</key>
<ns2:SpaceGroup>
<altShortSymbol>P 21/a -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>205</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P a -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Z,-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,-Z,-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,Z,1/2-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>206</key>
<ns2:SpaceGroup>
<altShortSymbol>I 21/a -3</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>206</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I a -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Z,-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,-Z,-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,Z,1/2-X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,+Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>Z,-X,1/2-Y</item>
<item>-Z,1/2-X,Y</item>
<item>1/2-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,-X</item>
<item>Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,-Z</item>
<item>1/2+X,-Y,Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>-Z,X,1/2+Y</item>
<item>Z,1/2+X,-Y</item>
<item>1/2+Z,-X,Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,-Z,X</item>
<item>-Y,Z,1/2+X</item>
<item>Y,1/2+Z,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>207</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>207</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 4 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>208</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>208</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 42 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>209</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>209</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F 4 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>Y,1/2+X,1/2-Z</item>
<item>-Y,1/2-X,1/2-Z</item>
<item>Y,1/2-X,1/2+Z</item>
<item>-Y,1/2+X,1/2+Z</item>
<item>X,1/2+Z,1/2-Y</item>
<item>-X,1/2+Z,1/2+Y</item>
<item>-X,1/2-Z,1/2-Y</item>
<item>X,1/2-Z,1/2+Y</item>
<item>Z,1/2+Y,1/2-X</item>
<item>Z,1/2-Y,1/2+X</item>
<item>-Z,1/2+Y,1/2+X</item>
<item>-Z,1/2-Y,1/2-X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2+Y,X,1/2-Z</item>
<item>1/2-Y,-X,1/2-Z</item>
<item>1/2+Y,-X,1/2+Z</item>
<item>1/2-Y,X,1/2+Z</item>
<item>1/2+X,Z,1/2-Y</item>
<item>1/2-X,Z,1/2+Y</item>
<item>1/2-X,-Z,1/2-Y</item>
<item>1/2+X,-Z,1/2+Y</item>
<item>1/2+Z,Y,1/2-X</item>
<item>1/2+Z,-Y,1/2+X</item>
<item>1/2-Z,Y,1/2+X</item>
<item>1/2-Z,-Y,1/2-X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+X,1/2+Z,-Y</item>
<item>1/2-X,1/2+Z,Y</item>
<item>1/2-X,1/2-Z,-Y</item>
<item>1/2+X,1/2-Z,Y</item>
<item>1/2+Z,1/2+Y,-X</item>
<item>1/2+Z,1/2-Y,X</item>
<item>1/2-Z,1/2+Y,X</item>
<item>1/2-Z,1/2-Y,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>210</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>210</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F 41 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>Y,Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>3/4+Y,1/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>1/4+Y,3/4-X,3/4+Z</item>
<item>3/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,3/4-Y</item>
<item>3/4-X,3/4+Z,1/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>1/4+X,3/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,3/4-X</item>
<item>1/4+Z,3/4-Y,3/4+X</item>
<item>3/4-Z,3/4+Y,1/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>-Z,-X,Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>-Y,-Z,X</item>
<item>3/4+Y,3/4+X,1/4-Z</item>
<item>1/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>3/4+X,3/4+Z,1/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,1/4+Y</item>
<item>3/4+Z,3/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,3/4-Y,3/4-X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>Z,-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,1/4-X,3/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>1/4-Y,3/4+X,3/4+Z</item>
<item>1/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,3/4+Y</item>
<item>3/4-X,1/4-Z,3/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,1/4+Y,1/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>1/4-Z,3/4+Y,3/4+X</item>
<item>3/4-Z,1/4-Y,3/4-X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>3/4-Y,3/4-X,1/4-Z</item>
<item>3/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,1/4+X,1/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>1/4-X,1/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,1/4-Y</item>
<item>3/4+X,1/4-Z,3/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,1/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,1/4-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>211</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>211</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I 4 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2-X</item>
<item>1/2-Y,1/2-Z,1/2+X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>212</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>212</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 43 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>213</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>213</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P 41 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>3/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,3/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,3/4-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>214</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>214</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I 41 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>3/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,3/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,3/4-X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>Z,-X,1/2-Y</item>
<item>-Z,1/2-X,Y</item>
<item>1/2-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,-X</item>
<item>Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>215</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>215</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P -4 3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,Z</item>
<item>-Y,-X,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>Z,Y,X</item>
<item>Z,-Y,-X</item>
<item>-Z,Y,-X</item>
<item>-Z,-Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>216</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>216</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F -4 3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,Z</item>
<item>-Y,-X,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>Z,Y,X</item>
<item>Z,-Y,-X</item>
<item>-Z,Y,-X</item>
<item>-Z,-Y,X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>Y,1/2+X,1/2+Z</item>
<item>-Y,1/2-X,1/2+Z</item>
<item>Y,1/2-X,1/2-Z</item>
<item>-Y,1/2+X,1/2-Z</item>
<item>X,1/2+Z,1/2+Y</item>
<item>-X,1/2+Z,1/2-Y</item>
<item>-X,1/2-Z,1/2+Y</item>
<item>X,1/2-Z,1/2-Y</item>
<item>Z,1/2+Y,1/2+X</item>
<item>Z,1/2-Y,1/2-X</item>
<item>-Z,1/2+Y,1/2-X</item>
<item>-Z,1/2-Y,1/2+X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2+Y,X,1/2+Z</item>
<item>1/2-Y,-X,1/2+Z</item>
<item>1/2+Y,-X,1/2-Z</item>
<item>1/2-Y,X,1/2-Z</item>
<item>1/2+X,Z,1/2+Y</item>
<item>1/2-X,Z,1/2-Y</item>
<item>1/2-X,-Z,1/2+Y</item>
<item>1/2+X,-Z,1/2-Y</item>
<item>1/2+Z,Y,1/2+X</item>
<item>1/2+Z,-Y,1/2-X</item>
<item>1/2-Z,Y,1/2-X</item>
<item>1/2-Z,-Y,1/2+X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/2+Y,1/2+X,Z</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2-X,-Z</item>
<item>1/2-Y,1/2+X,-Z</item>
<item>1/2+X,1/2+Z,Y</item>
<item>1/2-X,1/2+Z,-Y</item>
<item>1/2-X,1/2-Z,Y</item>
<item>1/2+X,1/2-Z,-Y</item>
<item>1/2+Z,1/2+Y,X</item>
<item>1/2+Z,1/2-Y,-X</item>
<item>1/2-Z,1/2+Y,-X</item>
<item>1/2-Z,1/2-Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>217</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>217</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I -4 3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,Z</item>
<item>-Y,-X,Z</item>
<item>Y,-X,-Z</item>
<item>-Y,X,-Z</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>Z,Y,X</item>
<item>Z,-Y,-X</item>
<item>-Z,Y,-X</item>
<item>-Z,-Y,X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2-X</item>
<item>1/2-Y,1/2-Z,1/2+X</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>218</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>218</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>P -4 3 n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>219</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>219</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>F -4 3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>1/2+Y,X,Z</item>
<item>1/2-Y,-X,Z</item>
<item>1/2+Y,-X,-Z</item>
<item>1/2-Y,X,-Z</item>
<item>1/2+X,Z,Y</item>
<item>1/2-X,Z,-Y</item>
<item>1/2-X,-Z,Y</item>
<item>1/2+X,-Z,-Y</item>
<item>1/2+Z,Y,X</item>
<item>1/2+Z,-Y,-X</item>
<item>1/2-Z,Y,-X</item>
<item>1/2-Z,-Y,X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>Y,1/2+X,Z</item>
<item>-Y,1/2-X,Z</item>
<item>Y,1/2-X,-Z</item>
<item>-Y,1/2+X,-Z</item>
<item>X,1/2+Z,Y</item>
<item>-X,1/2+Z,-Y</item>
<item>-X,1/2-Z,Y</item>
<item>X,1/2-Z,-Y</item>
<item>Z,1/2+Y,X</item>
<item>Z,1/2-Y,-X</item>
<item>-Z,1/2+Y,-X</item>
<item>-Z,1/2-Y,X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>Y,X,1/2+Z</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,-X,1/2-Z</item>
<item>-Y,X,1/2-Z</item>
<item>X,Z,1/2+Y</item>
<item>-X,Z,1/2-Y</item>
<item>-X,-Z,1/2+Y</item>
<item>X,-Z,1/2-Y</item>
<item>Z,Y,1/2+X</item>
<item>Z,-Y,1/2-X</item>
<item>-Z,Y,1/2-X</item>
<item>-Z,-Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>220</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>220</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>24</primitiveMultiplicity>
<shortSymbol>I -4 3 d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/4+Y,1/4+X,1/4+Z</item>
<item>1/4-Y,3/4-X,3/4+Z</item>
<item>3/4+Y,1/4-X,3/4-Z</item>
<item>3/4-Y,3/4+X,1/4-Z</item>
<item>1/4+X,1/4+Z,1/4+Y</item>
<item>3/4-X,3/4+Z,1/4-Y</item>
<item>1/4-X,3/4-Z,3/4+Y</item>
<item>3/4+X,1/4-Z,3/4-Y</item>
<item>1/4+Z,1/4+Y,1/4+X</item>
<item>3/4+Z,1/4-Y,3/4-X</item>
<item>3/4-Z,3/4+Y,1/4-X</item>
<item>1/4-Z,3/4-Y,3/4+X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>Z,-X,1/2-Y</item>
<item>-Z,1/2-X,Y</item>
<item>1/2-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,-X</item>
<item>Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,X</item>
<item>3/4+Y,3/4+X,3/4+Z</item>
<item>3/4-Y,1/4-X,1/4+Z</item>
<item>1/4+Y,3/4-X,1/4-Z</item>
<item>1/4-Y,1/4+X,3/4-Z</item>
<item>3/4+X,3/4+Z,3/4+Y</item>
<item>1/4-X,1/4+Z,3/4-Y</item>
<item>3/4-X,1/4-Z,1/4+Y</item>
<item>1/4+X,3/4-Z,1/4-Y</item>
<item>3/4+Z,3/4+Y,3/4+X</item>
<item>1/4+Z,3/4-Y,1/4-X</item>
<item>1/4-Z,1/4+Y,3/4-X</item>
<item>3/4-Z,1/4-Y,1/4+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>221</key>
<ns2:SpaceGroup>
<altShortSymbol>P 4/m -3 2/m</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>221</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>P m -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-Z,-Y,X</item>
<item>-Z,Y,-X</item>
<item>Z,-Y,-X</item>
<item>Z,Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>222</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>222</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>P 4/n -3 2/n' P n -3 n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2+X,1/2-Y</item>
<item>1/2+Z,1/2-X,1/2+Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2+X</item>
<item>1/2+Y,1/2+Z,1/2-X</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>223</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/m -3 2/n</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>223</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>P m -3 n</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>224</key>
<ns2:SpaceGroup>
<altShortSymbol>P 42/n -3 2/m</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>224</id>
<multiplicity>48</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>P n -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2+X,1/2-Y</item>
<item>1/2+Z,1/2-X,1/2+Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2+X</item>
<item>1/2+Y,1/2+Z,1/2-X</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-Z,-Y,X</item>
<item>-Z,Y,-X</item>
<item>Z,-Y,-X</item>
<item>Z,Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>225</key>
<ns2:SpaceGroup>
<altShortSymbol>F 4/m -3 2/m</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>225</id>
<multiplicity>192</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>F m -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-Z,-Y,X</item>
<item>-Z,Y,-X</item>
<item>Z,-Y,-X</item>
<item>Z,Y,X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>Y,1/2+X,1/2-Z</item>
<item>-Y,1/2-X,1/2-Z</item>
<item>Y,1/2-X,1/2+Z</item>
<item>-Y,1/2+X,1/2+Z</item>
<item>X,1/2+Z,1/2-Y</item>
<item>-X,1/2+Z,1/2+Y</item>
<item>-X,1/2-Z,1/2-Y</item>
<item>X,1/2-Z,1/2+Y</item>
<item>Z,1/2+Y,1/2-X</item>
<item>Z,1/2-Y,1/2+X</item>
<item>-Z,1/2+Y,1/2+X</item>
<item>-Z,1/2-Y,1/2-X</item>
<item>-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
<item>-Z,1/2-X,1/2-Y</item>
<item>-Z,1/2+X,1/2+Y</item>
<item>Z,1/2+X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,1/2-Z,1/2-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>-Y,1/2+Z,1/2+X</item>
<item>Y,1/2+Z,1/2-X</item>
<item>-Y,1/2-X,1/2+Z</item>
<item>Y,1/2+X,1/2+Z</item>
<item>-Y,1/2+X,1/2-Z</item>
<item>Y,1/2-X,1/2-Z</item>
<item>-X,1/2-Z,1/2+Y</item>
<item>X,1/2-Z,1/2-Y</item>
<item>X,1/2+Z,1/2+Y</item>
<item>-X,1/2+Z,1/2-Y</item>
<item>-Z,1/2-Y,1/2+X</item>
<item>-Z,1/2+Y,1/2-X</item>
<item>Z,1/2-Y,1/2-X</item>
<item>Z,1/2+Y,1/2+X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/2+Y,X,1/2-Z</item>
<item>1/2-Y,-X,1/2-Z</item>
<item>1/2+Y,-X,1/2+Z</item>
<item>1/2-Y,X,1/2+Z</item>
<item>1/2+X,Z,1/2-Y</item>
<item>1/2-X,Z,1/2+Y</item>
<item>1/2-X,-Z,1/2-Y</item>
<item>1/2+X,-Z,1/2+Y</item>
<item>1/2+Z,Y,1/2-X</item>
<item>1/2+Z,-Y,1/2+X</item>
<item>1/2-Z,Y,1/2+X</item>
<item>1/2-Z,-Y,1/2-X</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2-Z,-X,1/2-Y</item>
<item>1/2-Z,X,1/2+Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>1/2+Z,-X,1/2+Y</item>
<item>1/2-Y,-Z,1/2-X</item>
<item>1/2+Y,-Z,1/2+X</item>
<item>1/2-Y,Z,1/2+X</item>
<item>1/2+Y,Z,1/2-X</item>
<item>1/2-Y,-X,1/2+Z</item>
<item>1/2+Y,X,1/2+Z</item>
<item>1/2-Y,X,1/2-Z</item>
<item>1/2+Y,-X,1/2-Z</item>
<item>1/2-X,-Z,1/2+Y</item>
<item>1/2+X,-Z,1/2-Y</item>
<item>1/2+X,Z,1/2+Y</item>
<item>1/2-X,Z,1/2-Y</item>
<item>1/2-Z,-Y,1/2+X</item>
<item>1/2-Z,Y,1/2-X</item>
<item>1/2+Z,-Y,1/2-X</item>
<item>1/2+Z,Y,1/2+X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/2+Y,1/2+X,-Z</item>
<item>1/2-Y,1/2-X,-Z</item>
<item>1/2+Y,1/2-X,Z</item>
<item>1/2-Y,1/2+X,Z</item>
<item>1/2+X,1/2+Z,-Y</item>
<item>1/2-X,1/2+Z,Y</item>
<item>1/2-X,1/2-Z,-Y</item>
<item>1/2+X,1/2-Z,Y</item>
<item>1/2+Z,1/2+Y,-X</item>
<item>1/2+Z,1/2-Y,X</item>
<item>1/2-Z,1/2+Y,X</item>
<item>1/2-Z,1/2-Y,-X</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Z,1/2-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,1/2+X,-Y</item>
<item>1/2+Z,1/2-X,Y</item>
<item>1/2-Y,1/2-Z,-X</item>
<item>1/2+Y,1/2-Z,X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,1/2+Z,-X</item>
<item>1/2-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,Z</item>
<item>1/2-Y,1/2+X,-Z</item>
<item>1/2+Y,1/2-X,-Z</item>
<item>1/2-X,1/2-Z,Y</item>
<item>1/2+X,1/2-Z,-Y</item>
<item>1/2+X,1/2+Z,Y</item>
<item>1/2-X,1/2+Z,-Y</item>
<item>1/2-Z,1/2-Y,X</item>
<item>1/2-Z,1/2+Y,-X</item>
<item>1/2+Z,1/2-Y,-X</item>
<item>1/2+Z,1/2+Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>226</key>
<ns2:SpaceGroup>
<altShortSymbol>F 4/m -3 2/c</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>226</id>
<multiplicity>192</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>F m -3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>1/2+Y,X,-Z</item>
<item>1/2-Y,-X,-Z</item>
<item>1/2+Y,-X,Z</item>
<item>1/2-Y,X,Z</item>
<item>1/2+X,Z,-Y</item>
<item>1/2-X,Z,Y</item>
<item>1/2-X,-Z,-Y</item>
<item>1/2+X,-Z,Y</item>
<item>1/2+Z,Y,-X</item>
<item>1/2+Z,-Y,X</item>
<item>1/2-Z,Y,X</item>
<item>1/2-Z,-Y,-X</item>
<item>-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2+Z</item>
<item>-Z,1/2-X,1/2-Y</item>
<item>-Z,1/2+X,1/2+Y</item>
<item>Z,1/2+X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,1/2-Z,1/2-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>-Y,1/2+Z,1/2+X</item>
<item>Y,1/2+Z,1/2-X</item>
<item>1/2-Y,-X,Z</item>
<item>1/2+Y,X,Z</item>
<item>1/2-Y,X,-Z</item>
<item>1/2+Y,-X,-Z</item>
<item>1/2-X,-Z,Y</item>
<item>1/2+X,-Z,-Y</item>
<item>1/2+X,Z,Y</item>
<item>1/2-X,Z,-Y</item>
<item>1/2-Z,-Y,X</item>
<item>1/2-Z,Y,-X</item>
<item>1/2+Z,-Y,-X</item>
<item>1/2+Z,Y,X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>Y,1/2+X,-Z</item>
<item>-Y,1/2-X,-Z</item>
<item>Y,1/2-X,Z</item>
<item>-Y,1/2+X,Z</item>
<item>X,1/2+Z,-Y</item>
<item>-X,1/2+Z,Y</item>
<item>-X,1/2-Z,-Y</item>
<item>X,1/2-Z,Y</item>
<item>Z,1/2+Y,-X</item>
<item>Z,1/2-Y,X</item>
<item>-Z,1/2+Y,X</item>
<item>-Z,1/2-Y,-X</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2+X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2+Z</item>
<item>1/2-Z,-X,1/2-Y</item>
<item>1/2-Z,X,1/2+Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>1/2+Z,-X,1/2+Y</item>
<item>1/2-Y,-Z,1/2-X</item>
<item>1/2+Y,-Z,1/2+X</item>
<item>1/2-Y,Z,1/2+X</item>
<item>1/2+Y,Z,1/2-X</item>
<item>-Y,1/2-X,Z</item>
<item>Y,1/2+X,Z</item>
<item>-Y,1/2+X,-Z</item>
<item>Y,1/2-X,-Z</item>
<item>-X,1/2-Z,Y</item>
<item>X,1/2-Z,-Y</item>
<item>X,1/2+Z,Y</item>
<item>-X,1/2+Z,-Y</item>
<item>-Z,1/2-Y,X</item>
<item>-Z,1/2+Y,-X</item>
<item>Z,1/2-Y,-X</item>
<item>Z,1/2+Y,X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>Y,X,1/2-Z</item>
<item>-Y,-X,1/2-Z</item>
<item>Y,-X,1/2+Z</item>
<item>-Y,X,1/2+Z</item>
<item>X,Z,1/2-Y</item>
<item>-X,Z,1/2+Y</item>
<item>-X,-Z,1/2-Y</item>
<item>X,-Z,1/2+Y</item>
<item>Z,Y,1/2-X</item>
<item>Z,-Y,1/2+X</item>
<item>-Z,Y,1/2+X</item>
<item>-Z,-Y,1/2-X</item>
<item>1/2-X,1/2-Y,-Z</item>
<item>1/2+X,1/2+Y,-Z</item>
<item>1/2+X,1/2-Y,Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>1/2-Z,1/2-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,1/2+X,-Y</item>
<item>1/2+Z,1/2-X,Y</item>
<item>1/2-Y,1/2-Z,-X</item>
<item>1/2+Y,1/2-Z,X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,1/2+Z,-X</item>
<item>-Y,-X,1/2+Z</item>
<item>Y,X,1/2+Z</item>
<item>-Y,X,1/2-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-X,-Z,1/2+Y</item>
<item>X,-Z,1/2-Y</item>
<item>X,Z,1/2+Y</item>
<item>-X,Z,1/2-Y</item>
<item>-Z,-Y,1/2+X</item>
<item>-Z,Y,1/2-X</item>
<item>Z,-Y,1/2-X</item>
<item>Z,Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>227</key>
<ns2:SpaceGroup>
<altShortSymbol>F 41/d -3 2/m</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>227</id>
<multiplicity>192</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>F d -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>Y,Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>3/4+Y,1/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>1/4+Y,3/4-X,3/4+Z</item>
<item>3/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,3/4-Y</item>
<item>3/4-X,3/4+Z,1/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>1/4+X,3/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,3/4-X</item>
<item>1/4+Z,3/4-Y,3/4+X</item>
<item>3/4-Z,3/4+Y,1/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
<item>1/4-X,1/4-Y,1/4-Z</item>
<item>1/4+X,3/4+Y,3/4-Z</item>
<item>3/4+X,3/4-Y,1/4+Z</item>
<item>3/4-X,1/4+Y,3/4+Z</item>
<item>1/4-Z,1/4-X,1/4-Y</item>
<item>3/4-Z,1/4+X,3/4+Y</item>
<item>1/4+Z,3/4+X,3/4-Y</item>
<item>3/4+Z,3/4-X,1/4+Y</item>
<item>1/4-Y,1/4-Z,1/4-X</item>
<item>3/4+Y,3/4-Z,1/4+X</item>
<item>3/4-Y,1/4+Z,3/4+X</item>
<item>1/4+Y,3/4+Z,3/4-X</item>
<item>1/2-Y,-X,1/2+Z</item>
<item>Y,X,Z</item>
<item>-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,-Z</item>
<item>1/2-X,-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,-Y</item>
<item>X,Z,Y</item>
<item>-X,1/2+Z,1/2-Y</item>
<item>1/2-Z,-Y,1/2+X</item>
<item>-Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,-X</item>
<item>Z,Y,X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>-Z,-X,Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>-Y,-Z,X</item>
<item>3/4+Y,3/4+X,1/4-Z</item>
<item>1/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>3/4+X,3/4+Z,1/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,1/4+Y</item>
<item>3/4+Z,3/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,3/4-Y,3/4-X</item>
<item>1/4-X,3/4-Y,3/4-Z</item>
<item>1/4+X,1/4+Y,1/4-Z</item>
<item>3/4+X,1/4-Y,3/4+Z</item>
<item>3/4-X,3/4+Y,1/4+Z</item>
<item>1/4-Z,3/4-X,3/4-Y</item>
<item>3/4-Z,3/4+X,1/4+Y</item>
<item>1/4+Z,1/4+X,1/4-Y</item>
<item>3/4+Z,1/4-X,3/4+Y</item>
<item>1/4-Y,3/4-Z,3/4-X</item>
<item>3/4+Y,1/4-Z,3/4+X</item>
<item>3/4-Y,3/4+Z,1/4+X</item>
<item>1/4+Y,1/4+Z,1/4-X</item>
<item>1/2-Y,1/2-X,Z</item>
<item>Y,1/2+X,1/2+Z</item>
<item>-Y,X,-Z</item>
<item>1/2+Y,-X,1/2-Z</item>
<item>1/2-X,1/2-Z,Y</item>
<item>1/2+X,-Z,1/2-Y</item>
<item>X,1/2+Z,1/2+Y</item>
<item>-X,Z,-Y</item>
<item>1/2-Z,1/2-Y,X</item>
<item>-Z,Y,-X</item>
<item>1/2+Z,-Y,1/2-X</item>
<item>Z,1/2+Y,1/2+X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>Z,-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,1/4-X,3/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>1/4-Y,3/4+X,3/4+Z</item>
<item>1/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,3/4+Y</item>
<item>3/4-X,1/4-Z,3/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,1/4+Y,1/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>1/4-Z,3/4+Y,3/4+X</item>
<item>3/4-Z,1/4-Y,3/4-X</item>
<item>3/4-X,1/4-Y,3/4-Z</item>
<item>3/4+X,3/4+Y,1/4-Z</item>
<item>1/4+X,3/4-Y,3/4+Z</item>
<item>1/4-X,1/4+Y,1/4+Z</item>
<item>3/4-Z,1/4-X,3/4-Y</item>
<item>1/4-Z,1/4+X,1/4+Y</item>
<item>3/4+Z,3/4+X,1/4-Y</item>
<item>1/4+Z,3/4-X,3/4+Y</item>
<item>3/4-Y,1/4-Z,3/4-X</item>
<item>1/4+Y,3/4-Z,3/4+X</item>
<item>1/4-Y,1/4+Z,1/4+X</item>
<item>3/4+Y,3/4+Z,1/4-X</item>
<item>-Y,-X,Z</item>
<item>1/2+Y,X,1/2+Z</item>
<item>1/2-Y,1/2+X,-Z</item>
<item>Y,1/2-X,1/2-Z</item>
<item>-X,-Z,Y</item>
<item>X,1/2-Z,1/2-Y</item>
<item>1/2+X,Z,1/2+Y</item>
<item>1/2-X,1/2+Z,-Y</item>
<item>-Z,-Y,X</item>
<item>1/2-Z,1/2+Y,-X</item>
<item>Z,1/2-Y,1/2-X</item>
<item>1/2+Z,Y,1/2+X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>3/4-Y,3/4-X,1/4-Z</item>
<item>3/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,1/4+X,1/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>1/4-X,1/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,1/4-Y</item>
<item>3/4+X,1/4-Z,3/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,1/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,1/4-X</item>
<item>3/4-X,3/4-Y,1/4-Z</item>
<item>3/4+X,1/4+Y,3/4-Z</item>
<item>1/4+X,1/4-Y,1/4+Z</item>
<item>1/4-X,3/4+Y,3/4+Z</item>
<item>3/4-Z,3/4-X,1/4-Y</item>
<item>1/4-Z,3/4+X,3/4+Y</item>
<item>3/4+Z,1/4+X,3/4-Y</item>
<item>1/4+Z,1/4-X,1/4+Y</item>
<item>3/4-Y,3/4-Z,1/4-X</item>
<item>1/4+Y,1/4-Z,1/4+X</item>
<item>1/4-Y,3/4+Z,3/4+X</item>
<item>3/4+Y,1/4+Z,3/4-X</item>
<item>-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,Z</item>
<item>1/2-Y,X,1/2-Z</item>
<item>Y,-X,-Z</item>
<item>-X,1/2-Z,1/2+Y</item>
<item>X,-Z,-Y</item>
<item>1/2+X,1/2+Z,Y</item>
<item>1/2-X,Z,1/2-Y</item>
<item>-Z,1/2-Y,1/2+X</item>
<item>1/2-Z,Y,1/2-X</item>
<item>Z,-Y,-X</item>
<item>1/2+Z,1/2+Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>228</key>
<ns2:SpaceGroup>
<altShortSymbol>F 41/d -3 2/c</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>228</id>
<multiplicity>192</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>F d -3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,-X,1/2-Y</item>
<item>-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,-Y</item>
<item>Y,Z,X</item>
<item>1/2-Y,1/2+Z,-X</item>
<item>1/2+Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,1/2+X</item>
<item>3/4+Y,1/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>1/4+Y,3/4-X,3/4+Z</item>
<item>3/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,3/4-Y</item>
<item>3/4-X,3/4+Z,1/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>1/4+X,3/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,3/4-X</item>
<item>1/4+Z,3/4-Y,3/4+X</item>
<item>3/4-Z,3/4+Y,1/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
<item>3/4-X,3/4-Y,3/4-Z</item>
<item>3/4+X,1/4+Y,1/4-Z</item>
<item>1/4+X,1/4-Y,3/4+Z</item>
<item>1/4-X,3/4+Y,1/4+Z</item>
<item>3/4-Z,3/4-X,3/4-Y</item>
<item>1/4-Z,3/4+X,1/4+Y</item>
<item>3/4+Z,1/4+X,1/4-Y</item>
<item>1/4+Z,1/4-X,3/4+Y</item>
<item>3/4-Y,3/4-Z,3/4-X</item>
<item>1/4+Y,1/4-Z,3/4+X</item>
<item>1/4-Y,3/4+Z,1/4+X</item>
<item>3/4+Y,1/4+Z,1/4-X</item>
<item>-Y,1/2-X,Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,X,-Z</item>
<item>Y,-X,1/2-Z</item>
<item>-X,1/2-Z,Y</item>
<item>X,-Z,1/2-Y</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,Z,-Y</item>
<item>-Z,1/2-Y,X</item>
<item>1/2-Z,Y,-X</item>
<item>Z,-Y,1/2-X</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,-Y,Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>-Z,-X,Y</item>
<item>1/2-Z,X,1/2-Y</item>
<item>Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>-Y,-Z,X</item>
<item>3/4+Y,3/4+X,1/4-Z</item>
<item>1/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>3/4+X,3/4+Z,1/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,1/4+Y</item>
<item>3/4+Z,3/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,3/4-Y,3/4-X</item>
<item>3/4-X,1/4-Y,1/4-Z</item>
<item>3/4+X,3/4+Y,3/4-Z</item>
<item>1/4+X,3/4-Y,1/4+Z</item>
<item>1/4-X,1/4+Y,3/4+Z</item>
<item>3/4-Z,1/4-X,1/4-Y</item>
<item>1/4-Z,1/4+X,3/4+Y</item>
<item>3/4+Z,3/4+X,3/4-Y</item>
<item>1/4+Z,3/4-X,1/4+Y</item>
<item>3/4-Y,1/4-Z,1/4-X</item>
<item>1/4+Y,3/4-Z,1/4+X</item>
<item>1/4-Y,1/4+Z,3/4+X</item>
<item>3/4+Y,3/4+Z,3/4-X</item>
<item>-Y,-X,1/2+Z</item>
<item>1/2+Y,X,Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>Y,1/2-X,-Z</item>
<item>-X,-Z,1/2+Y</item>
<item>X,1/2-Z,-Y</item>
<item>1/2+X,Z,Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>-Z,-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>Z,1/2-Y,-X</item>
<item>1/2+Z,Y,X</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>X,-Y,-Z</item>
<item>1/2+Z,X,1/2+Y</item>
<item>Z,-X,-Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,Z,1/2+X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>Y,-Z,-X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>1/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,1/4-X,3/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>1/4-Y,3/4+X,3/4+Z</item>
<item>1/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,3/4+Y</item>
<item>3/4-X,1/4-Z,3/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,1/4+Y,1/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>1/4-Z,3/4+Y,3/4+X</item>
<item>3/4-Z,1/4-Y,3/4-X</item>
<item>1/4-X,3/4-Y,1/4-Z</item>
<item>1/4+X,1/4+Y,3/4-Z</item>
<item>3/4+X,1/4-Y,1/4+Z</item>
<item>3/4-X,3/4+Y,3/4+Z</item>
<item>1/4-Z,3/4-X,1/4-Y</item>
<item>3/4-Z,3/4+X,3/4+Y</item>
<item>1/4+Z,1/4+X,3/4-Y</item>
<item>3/4+Z,1/4-X,1/4+Y</item>
<item>1/4-Y,3/4-Z,1/4-X</item>
<item>3/4+Y,1/4-Z,1/4+X</item>
<item>3/4-Y,3/4+Z,3/4+X</item>
<item>1/4+Y,1/4+Z,3/4-X</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>Y,1/2+X,Z</item>
<item>-Y,X,1/2-Z</item>
<item>1/2+Y,-X,-Z</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,-Z,-Y</item>
<item>X,1/2+Z,Y</item>
<item>-X,Z,1/2-Y</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>-Z,Y,1/2-X</item>
<item>1/2+Z,-Y,-X</item>
<item>Z,1/2+Y,X</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,Y,-Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>3/4-Y,3/4-X,1/4-Z</item>
<item>3/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,1/4+X,1/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>1/4-X,1/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,1/4-Y</item>
<item>3/4+X,1/4-Z,3/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,1/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,1/4-X</item>
<item>1/4-X,1/4-Y,3/4-Z</item>
<item>1/4+X,3/4+Y,1/4-Z</item>
<item>3/4+X,3/4-Y,3/4+Z</item>
<item>3/4-X,1/4+Y,1/4+Z</item>
<item>1/4-Z,1/4-X,3/4-Y</item>
<item>3/4-Z,1/4+X,1/4+Y</item>
<item>1/4+Z,3/4+X,1/4-Y</item>
<item>3/4+Z,3/4-X,3/4+Y</item>
<item>1/4-Y,1/4-Z,3/4-X</item>
<item>3/4+Y,3/4-Z,3/4+X</item>
<item>3/4-Y,1/4+Z,1/4+X</item>
<item>1/4+Y,3/4+Z,1/4-X</item>
<item>1/2-Y,-X,Z</item>
<item>Y,X,1/2+Z</item>
<item>-Y,1/2+X,-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,-Z,Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>X,Z,1/2+Y</item>
<item>-X,1/2+Z,-Y</item>
<item>1/2-Z,-Y,X</item>
<item>-Z,1/2+Y,-X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>Z,Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>229</key>
<ns2:SpaceGroup>
<altShortSymbol>I 4/m -3 2/m</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>229</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>I m -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,-Y,-Z</item>
<item>Z,X,Y</item>
<item>Z,-X,-Y</item>
<item>-Z,-X,Y</item>
<item>-Z,X,-Y</item>
<item>Y,Z,X</item>
<item>-Y,Z,-X</item>
<item>Y,-Z,-X</item>
<item>-Y,-Z,X</item>
<item>Y,X,-Z</item>
<item>-Y,-X,-Z</item>
<item>Y,-X,Z</item>
<item>-Y,X,Z</item>
<item>X,Z,-Y</item>
<item>-X,Z,Y</item>
<item>-X,-Z,-Y</item>
<item>X,-Z,Y</item>
<item>Z,Y,-X</item>
<item>Z,-Y,X</item>
<item>-Z,Y,X</item>
<item>-Z,-Y,-X</item>
<item>-X,-Y,-Z</item>
<item>X,Y,-Z</item>
<item>X,-Y,Z</item>
<item>-X,Y,Z</item>
<item>-Z,-X,-Y</item>
<item>-Z,X,Y</item>
<item>Z,X,-Y</item>
<item>Z,-X,Y</item>
<item>-Y,-Z,-X</item>
<item>Y,-Z,X</item>
<item>-Y,Z,X</item>
<item>Y,Z,-X</item>
<item>-Y,-X,Z</item>
<item>Y,X,Z</item>
<item>-Y,X,-Z</item>
<item>Y,-X,-Z</item>
<item>-X,-Z,Y</item>
<item>X,-Z,-Y</item>
<item>X,Z,Y</item>
<item>-X,Z,-Y</item>
<item>-Z,-Y,X</item>
<item>-Z,Y,-X</item>
<item>Z,-Y,-X</item>
<item>Z,Y,X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2-X,1/2+Y</item>
<item>1/2-Z,1/2+X,1/2-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2-X</item>
<item>1/2-Y,1/2-Z,1/2+X</item>
<item>1/2+Y,1/2+X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2+Z</item>
<item>1/2+X,1/2+Z,1/2-Y</item>
<item>1/2-X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2-Z,1/2+Y</item>
<item>1/2+Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2+X</item>
<item>1/2-Z,1/2-Y,1/2-X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>1/2-Z,1/2+X,1/2+Y</item>
<item>1/2+Z,1/2+X,1/2-Y</item>
<item>1/2+Z,1/2-X,1/2+Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,1/2+X</item>
<item>1/2+Y,1/2+Z,1/2-X</item>
<item>1/2-Y,1/2-X,1/2+Z</item>
<item>1/2+Y,1/2+X,1/2+Z</item>
<item>1/2-Y,1/2+X,1/2-Z</item>
<item>1/2+Y,1/2-X,1/2-Z</item>
<item>1/2-X,1/2-Z,1/2+Y</item>
<item>1/2+X,1/2-Z,1/2-Y</item>
<item>1/2+X,1/2+Z,1/2+Y</item>
<item>1/2-X,1/2+Z,1/2-Y</item>
<item>1/2-Z,1/2-Y,1/2+X</item>
<item>1/2-Z,1/2+Y,1/2-X</item>
<item>1/2+Z,1/2-Y,1/2-X</item>
<item>1/2+Z,1/2+Y,1/2+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>230</key>
<ns2:SpaceGroup>
<altShortSymbol>I 41/a -3 2/d</altShortSymbol>
<bravLattice>CUBIC</bravLattice>
<id>230</id>
<multiplicity>96</multiplicity>
<primitiveMultiplicity>48</primitiveMultiplicity>
<shortSymbol>I a -3 d</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>Z,X,Y</item>
<item>1/2+Z,1/2-X,-Y</item>
<item>1/2-Z,-X,1/2+Y</item>
<item>-Z,1/2+X,1/2-Y</item>
<item>Y,Z,X</item>
<item>-Y,1/2+Z,1/2-X</item>
<item>1/2+Y,1/2-Z,-X</item>
<item>1/2-Y,-Z,1/2+X</item>
<item>3/4+Y,1/4+X,1/4-Z</item>
<item>3/4-Y,3/4-X,3/4-Z</item>
<item>1/4+Y,1/4-X,3/4+Z</item>
<item>1/4-Y,3/4+X,1/4+Z</item>
<item>3/4+X,1/4+Z,1/4-Y</item>
<item>1/4-X,3/4+Z,1/4+Y</item>
<item>3/4-X,3/4-Z,3/4-Y</item>
<item>1/4+X,1/4-Z,3/4+Y</item>
<item>3/4+Z,1/4+Y,1/4-X</item>
<item>1/4+Z,1/4-Y,3/4+X</item>
<item>1/4-Z,3/4+Y,1/4+X</item>
<item>3/4-Z,3/4-Y,3/4-X</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2+Z</item>
<item>1/2-X,1/2+Y,Z</item>
<item>-Z,-X,-Y</item>
<item>1/2-Z,1/2+X,Y</item>
<item>1/2+Z,X,1/2-Y</item>
<item>Z,1/2-X,1/2+Y</item>
<item>-Y,-Z,-X</item>
<item>Y,1/2-Z,1/2+X</item>
<item>1/2-Y,1/2+Z,X</item>
<item>1/2+Y,Z,1/2-X</item>
<item>1/4-Y,3/4-X,3/4+Z</item>
<item>1/4+Y,1/4+X,1/4+Z</item>
<item>3/4-Y,3/4+X,1/4-Z</item>
<item>3/4+Y,1/4-X,3/4-Z</item>
<item>1/4-X,3/4-Z,3/4+Y</item>
<item>3/4+X,1/4-Z,3/4-Y</item>
<item>1/4+X,1/4+Z,1/4+Y</item>
<item>3/4-X,3/4+Z,1/4-Y</item>
<item>1/4-Z,3/4-Y,3/4+X</item>
<item>3/4-Z,3/4+Y,1/4-X</item>
<item>3/4+Z,1/4-Y,3/4-X</item>
<item>1/4+Z,1/4+Y,1/4+X</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,1/2-Y,Z</item>
<item>1/2-X,Y,-Z</item>
<item>X,-Y,1/2-Z</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>Z,-X,1/2-Y</item>
<item>-Z,1/2-X,Y</item>
<item>1/2-Z,X,-Y</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>1/2-Y,Z,-X</item>
<item>Y,-Z,1/2-X</item>
<item>-Y,1/2-Z,X</item>
<item>1/4+Y,3/4+X,3/4-Z</item>
<item>1/4-Y,1/4-X,1/4-Z</item>
<item>3/4+Y,3/4-X,1/4+Z</item>
<item>3/4-Y,1/4+X,3/4+Z</item>
<item>1/4+X,3/4+Z,3/4-Y</item>
<item>3/4-X,1/4+Z,3/4+Y</item>
<item>1/4-X,1/4-Z,1/4-Y</item>
<item>3/4+X,3/4-Z,1/4+Y</item>
<item>1/4+Z,3/4+Y,3/4-X</item>
<item>3/4+Z,3/4-Y,1/4+X</item>
<item>3/4-Z,1/4+Y,3/4+X</item>
<item>1/4-Z,1/4-Y,1/4-X</item>
<item>1/2-X,1/2-Y,1/2-Z</item>
<item>X,1/2+Y,-Z</item>
<item>1/2+X,-Y,Z</item>
<item>-X,Y,1/2+Z</item>
<item>1/2-Z,1/2-X,1/2-Y</item>
<item>-Z,X,1/2+Y</item>
<item>Z,1/2+X,-Y</item>
<item>1/2+Z,-X,Y</item>
<item>1/2-Y,1/2-Z,1/2-X</item>
<item>1/2+Y,-Z,X</item>
<item>-Y,Z,1/2+X</item>
<item>Y,1/2+Z,-X</item>
<item>3/4-Y,1/4-X,1/4+Z</item>
<item>3/4+Y,3/4+X,3/4+Z</item>
<item>1/4-Y,1/4+X,3/4-Z</item>
<item>1/4+Y,3/4-X,1/4-Z</item>
<item>3/4-X,1/4-Z,1/4+Y</item>
<item>1/4+X,3/4-Z,1/4-Y</item>
<item>3/4+X,3/4+Z,3/4+Y</item>
<item>1/4-X,1/4+Z,3/4-Y</item>
<item>3/4-Z,1/4-Y,1/4+X</item>
<item>1/4-Z,1/4+Y,3/4-X</item>
<item>1/4+Z,3/4-Y,1/4-X</item>
<item>3/4+Z,3/4+Y,3/4+X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1003</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1003</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 1 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1004</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1004</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 1 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1005</key>
<ns2:SpaceGroup>
<altShortSymbol>B 1 1 2</altShortSymbol>
<bravLattice>MONOCLINIC</bravLattice>
<id>1005</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>B 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,Z</item>
<item>1/2+X,+Y,1/2+Z</item>
<item>1/2-X,-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1006</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1006</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 1 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1007</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1007</id>
<multiplicity>2</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>P 1 1 b</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,1/2+Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1008</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1008</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>B 1 1 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,Y,-Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2+X,Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1009</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1009</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>B 1 1 b</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,1/2+Y,-Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1010</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1010</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 1 2/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,Y,-Z</item>
<item>-X,-Y,Z</item>
<item>-X,-Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1011</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1011</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 1 21/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,1/2+Z</item>
<item>-X,-Y,-Z</item>
<item>X,Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1012</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1012</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>B 1 1 2/m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,Y,-Z</item>
<item>-X,-Y,Z</item>
<item>-X,-Y,-Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2+X,Y,1/2-Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2-X,-Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1013</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1013</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 1 2/b</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2+Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1014</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1014</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 1 1 21/b</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,-Y,-Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>X,1/2+Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1015</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>1015</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>B 1 1 2/b</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2-Y,Z</item>
<item>-X,-Y,-Z</item>
<item>X,1/2+Y,-Z</item>
<item>1/2+X,Y,1/2+Z</item>
<item>1/2-X,1/2-Y,1/2+Z</item>
<item>1/2-X,-Y,1/2-Z</item>
<item>1/2+X,1/2+Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1017</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1017</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 21 2 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
<item>1/2+X,-Y,-Z</item>
<item>1/2-X,-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1018</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1018</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 21 21 2 (a)</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>X+1/2,-Y,-Z</item>
<item>-X,Y+1/2,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1020</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1020</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 2 2 21a)</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,-Y,1/2+Z</item>
<item>1/2+X,1/2-Y,-Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>-X,1/2-Y,1/2+Z</item>
<item>X,-Y,-Z</item>
<item>1/2-X,Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1021</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1021</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>C 2 2 2a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>X+1/2,-Y,-Z</item>
<item>-X,Y+1/2,-Z</item>
<item>1/2+ X,1/2+Y,Z</item>
<item>-X,-Y,Z</item>
<item>X,1/2-Y,-Z</item>
<item>1/2-X,Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1022</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1022</id>
<multiplicity>16</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>F 2 2 2a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>X+1/2,-Y,-Z</item>
<item>-X,Y+1/2,-Z</item>
<item>X,Y+1/2,Z+1/2</item>
<item>1/2-X,-Y,Z+1/2</item>
<item>X+1/2,-Y+1/2,-Z+1/2</item>
<item>-X,Y,-Z+1/2</item>
<item>X+1/2,Y,Z+1/2</item>
<item>-X,1/2-Y,Z+1/2</item>
<item>X,-Y,-Z+1/2</item>
<item>-X+1/2,Y+1/2,-Z+1/2</item>
<item>X+1/2,Y+1/2,Z</item>
<item>-X,-Y,Z</item>
<item>X,-Y+1/2,-Z</item>
<item>-X+1/2,Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1023</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1023</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>I 2 2 2a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>X+1/2,-Y,-Z</item>
<item>-X,Y+1/2,-Z</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,1/2+Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>X,1/2-Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1059</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>1059</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 21/m 21/m 2/n a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>1/2+X,-Y,-Z</item>
<item>-X,-Y,-Z</item>
<item>X+1/2,Y+1/2,-Z</item>
<item>X,1/2-Y,Z</item>
<item>1/2-X,Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1094</key>
<ns2:SpaceGroup>
<bravLattice>TETRAGONAL</bravLattice>
<id>1094</id>
<multiplicity>8</multiplicity>
<primitiveMultiplicity>8</primitiveMultiplicity>
<shortSymbol>P 42 21 2a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>-Y,X+1/2,1/2+Z</item>
<item>Y+1/2,-X,1/2+Z</item>
<item>-X,Y+1/2,-Z</item>
<item>X+1/2,-Y,-Z</item>
<item>Y,X,1/2-Z</item>
<item>1/2-Y,1/2-X,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1146</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>1146</id>
<multiplicity>3</multiplicity>
<primitiveMultiplicity>3</primitiveMultiplicity>
<shortSymbol>R 3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1148</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>1148</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>R -3</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>-X,-Y,-Z</item>
<item>-Z,-X,-Y</item>
<item>-Y,-Z,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1155</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>1155</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>R 3 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>-Y,-X,-Z</item>
<item>-X,-Z,-Y</item>
<item>-Z,-Y,-X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1160</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>1160</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>R 3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>Y,X,Z</item>
<item>X,Z,Y</item>
<item>Z,Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1161</key>
<ns2:SpaceGroup>
<bravLattice>TRIGONAL</bravLattice>
<id>1161</id>
<multiplicity>6</multiplicity>
<primitiveMultiplicity>6</primitiveMultiplicity>
<shortSymbol>R 3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>Y+1/2,X+1/2,Z+1/2</item>
<item>X+1/2,Z+1/2,Y+1/2</item>
<item>Z+1/2,Y+1/2,X+1/2</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1166</key>
<ns2:SpaceGroup>
<altShortSymbol>R -3 2/m</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>1166</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>R -3 m</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>-Y,-X,-Z</item>
<item>-X,-Z,-Y</item>
<item>-Z,-Y,-X</item>
<item>-X,-Y,-Z</item>
<item>-Z,-X,-Y</item>
<item>-Y,-Z,-X</item>
<item>Y,X,Z</item>
<item>X,Z,Y</item>
<item>Z,Y,X</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1167</key>
<ns2:SpaceGroup>
<altShortSymbol>R -3 2/c</altShortSymbol>
<bravLattice>TRIGONAL</bravLattice>
<id>1167</id>
<multiplicity>12</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>R -3 c</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>Z,X,Y</item>
<item>Y,Z,X</item>
<item>-Y+1/2,-X+1/2,-Z+1/2</item>
<item>-X+1/2,-Z+1/2,-Y+1/2</item>
<item>-Z+1/2,-Y+1/2,-X+1/2</item>
<item>-X,-Y,-Z</item>
<item>-Z,-X,-Y</item>
<item>-Y,-Z,-X</item>
<item>Y+1/2,X+1/2,Z+1/2</item>
<item>X+1/2,Z+1/2,Y+1/2</item>
<item>Z+1/2,Y+1/2,X+1/2</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>1197</key>
<ns2:SpaceGroup>
<bravLattice>CUBIC</bravLattice>
<id>1197</id>
<multiplicity>24</multiplicity>
<primitiveMultiplicity>12</primitiveMultiplicity>
<shortSymbol>I 2 3a</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>1/2-X,1/2-Y,Z</item>
<item>X+1/2,-Y,-Z</item>
<item>-X,Y+1/2,-Z</item>
<item>Y,Z,X</item>
<item>1/2-Y,1/2-Z,X</item>
<item>Y+1/2,-Z,-X</item>
<item>-Y,Z+1/2,-X</item>
<item>Z,X,Y</item>
<item>1/2-Z,1/2-X,Y</item>
<item>Z+1/2,-X,-Y</item>
<item>-Z,X+1/2,-Y</item>
<item>1/2+X,1/2+Y,1/2+Z</item>
<item>-X,-Y,1/2+Z</item>
<item>X,1/2-Y,1/2-Z</item>
<item>1/2-X,Y,1/2-Z</item>
<item>1/2+Y,1/2+Z,1/2+X</item>
<item>-Y,-Z,1/2+X</item>
<item>Y,1/2-Z,1/2-X</item>
<item>1/2-Y,Z,1/2-X</item>
<item>1/2+Z,1/2+X,1/2+Y</item>
<item>-Z,-X,1/2+Y</item>
<item>Z,1/2-X,1/2-Y</item>
<item>1/2-Z,X,1/2-Y</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>2005</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>2005</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>A 1 2 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
<item>X,1/2+Y,1/2+Z</item>
<item>-X,1/2+Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>2017</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>2017</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 2 21 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,1/2-Y,-Z</item>
<item>-X,1/2+Y,-Z</item>
<item>-X,-Y,Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>2018</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>2018</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 21 2 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
<item>1/2+X,-Y,1/2-Z</item>
<item>1/2-X,-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>3005</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>3005</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>C 1 21 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>1/2+X,1/2+Y,Z</item>
<item>1/2-X,Y,-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>3018</key>
<ns2:SpaceGroup>
<bravLattice>ORTHORHOMBIC</bravLattice>
<id>3018</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>4</primitiveMultiplicity>
<shortSymbol>P 2 21 21</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>X,-Y,-Z</item>
<item>-X,1/2+Y,1/2-Z</item>
<item>-X,1/2-Y,1/2+Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>4005</key>
<ns2:SpaceGroup>
<altShortSymbol>I 1 2 1</altShortSymbol>
<bravLattice>MONOCLINIC</bravLattice>
<id>4005</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>I 2</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,Y,-Z</item>
<item>X+1/2,Y+1/2,Z+1/2</item>
<item>-X+1/2,Y+1/2,-Z+1/2</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
<item>
<key>5005</key>
<ns2:SpaceGroup>
<bravLattice>MONOCLINIC</bravLattice>
<id>5005</id>
<multiplicity>4</multiplicity>
<primitiveMultiplicity>2</primitiveMultiplicity>
<shortSymbol>I 1 21 1</shortSymbol>
<transfAlgebraic>
<item>X,Y,Z</item>
<item>-X,1/2+Y,-Z</item>
<item>X+1/2,Y+1/2,Z+1/2</item>
<item>-X+1/2,Y,1/2-Z</item>
</transfAlgebraic>
</ns2:SpaceGroup>
</item>
</mapProperty>
</ns2:SpaceGroupMapRoot>