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I41/am'd' [#141.557] (Type: 3 -- Type III (translationgleiche))

[OG: I41/am'd' #141.7.1219]

Operators of Group 141.557 (I41/am'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}
3.-y+1/4,x+3/4,z+1/4
-my,mx,mz
( 
  0  -1   0   1/4
  1   0   0   3/4
  0   0   1   1/4
 )
4+ (0,0,1/4) -1/4,1/2,z +1 {4z|1/4,3/4,1/4}
4d.y+1/4,-x+1/4,z+3/4
my,-mx,mz
( 
  0   1   0   1/4
 -1   0   0   1/4
  0   0   1   3/4
 )
4- (0,0,3/4) 1/4,0,z +1 {4z-1|1/4,1/4,3/4}
5.-x,-y,-z
mx,my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}