Bilbao Crystallographic Server Generators of Space Groups Help

Generators of Group 227 (F d -3 m) [origin choice 2]

1 x,y,z 
[   1   0   0 ] [    0]
[   0   1   0 ] [    0]
[   0   0   1 ] [    0]
2 -x+3/4,-y+1/4,z+1/2 
[  -1   0   0 ] [  3/4]
[   0  -1   0 ] [  1/4]
[   0   0   1 ] [  1/2]
3 -x+1/4,y+1/2,-z+3/4 
[  -1   0   0 ] [  1/4]
[   0   1   0 ] [  1/2]
[   0   0  -1 ] [  3/4]
4 z,x,y 
[   0   0   1 ] [    0]
[   1   0   0 ] [    0]
[   0   1   0 ] [    0]
5 y+3/4,x+1/4,-z+1/2 
[   0   1   0 ] [  3/4]
[   1   0   0 ] [  1/4]
[   0   0  -1 ] [  1/2]
6 -x,-y,-z 
[  -1   0   0 ] [    0]
[   0  -1   0 ] [    0]
[   0   0  -1 ] [    0]
7 x,y+1/2,z+1/2 
[   1   0   0 ] [    0]
[   0   1   0 ] [  1/2]
[   0   0   1 ] [  1/2]
8 x+1/2,y,z+1/2 
[   1   0   0 ] [  1/2]
[   0   1   0 ] [    0]
[   0   0   1 ] [  1/2]

If you want to see the same set of matrices in other setting, click here

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