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I41'/a'm'd [#141.556] (Type: 3 -- Type III (translationgleiche))

[OG: I41'/a'm'd #141.6.1218]

Operators of Group 141.556 (I41'/a'm'd)

1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2d.-x+1/2,-y,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,0,z +1 {2z|1/2,0,1/2}
3d.-x+1/2,y,-z+1/2
-mx,my,-mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1   1/2
 )
2 1/4,y,1/4 +1 {2y|1/2,0,1/2}
4.x,-y,-z
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
5.y+3/4,-x+1/4,-z+3/4
-my,mx,mz
( 
  0   1   0   3/4
 -1   0   0   1/4
  0   0  -1   3/4
 )
-4+ 1/2,-1/4,z 1/2,-1/4,3/8 +1 {-4z|3/4,1/4,3/4}