Fm3  Fd3  Im3

202 Fm3

Origins: (0,0,0;  0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)

Simple space group. 2m3 clusters in an F lattice.

+x,+y,+z            +z,+x,+y            +y,+z,+x
+x,-y,-z            +z,-x,-y          +y,-z,-x
-x,+y,-z            -z,+x,-y          -y,+z,-x
-x,-y,+z            -z,-x,+y           -y,-z,+x
-x,-y,-z             -z,-x,-y             -y,-z,-x
-x,+y,+z            -z,+x,+y         -y,+z,+x
+x,-y,+z            +z,-x,+y         +y,-z,+x
+x,+y,-z            +z,+x,-y          +y,+z,-x

203 Fd3

Origins: (0,0,0;  0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)

First 12 points are a 23 cluster. Second 12 are translated to (1/4,1/4,1/4) and inverted.  Repeated in an F lattice.

+x,+y,+z            +z,+x,+y            +y,+z,+x
+x,-y,-z            +z,-x,-y          +y,-z,-x
-x,+y,-z            -z,+x,-y          -y,+z,-x
-x,-y,+z            -z,-x,+y     -y,-z,+x
1/4-x,1/4-y,1/4-z    1/4-z,1/4-x,1/4-y     1/4-y,1/4-z,1/4-x
1/4-x,1/4+y,1/4+z   1/4-z,1/4+x,1/4+y   1/4-y,1/4+z,1/4+x
1/4+x,1/4-y,1/4+z   1/4+z,1/4-x,1/4+y   1/4+y,1/4-z,1/4+x
1/4+x,1/4+y,1/4-z   1/4+z,1/4+x,1/4-y   1/4+y,1/4+z,1/4-x

204 Im3

Origins: (0,0,0; 1/2,1/2,1/2)

Simple space group. 2m3 clusters in an I lattice.

+x,+y,+z            +z,+x,+y            +y,+z,+x   
+x,-y,-z            +z,-x,-y          +y,-z,-x  
-x,+y,-z            -z,+x,-y          -y,+z,-x  
-x,-y,+z            -z,-x,+y     -y,-z,+x  
-x,-y,-z                -z,-x,-y             -y,-z,-x  
-x,+y,+z            -z,+x,+y        -y,+z,+x  
+x,-y,+z      +z,-x,+y                +y,-z,+x  
+x,+y,-z            +z,+x,-y          +y,+z,-x