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I41/acd1' [#142.562] (Type: 2 -- Type II (grey group))

[OG: I41/acd1' #142.2.1223]

Operators of Group 142.562 (I41/acd1')


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1.x,y,z
0,0,0
( 
  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
0,0,0
( 
  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+1/2,y,-z
0,0,0
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1     0
 )
2 1/4,y,0 +1 {2y|1/2,0,0}
6d.x,-y,-z+1/2
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1   1/2
 )
2 x,0,1/4 +1 {2x|0,0,1/2}
7d.y+1/4,x+3/4,-z+3/4
my,mx,-mz
( 
  0   1   0   1/4
  1   0   0   3/4
  0   0  -1   3/4
 )
2 (1/2,1/2,0) x,x+1/4,3/8 +1 {2xy|1/4,3/4,3/4}
8.-y+1/4,-x+1/4,-z+1/4
0,0,0
( 
  0  -1   0   1/4
 -1   0   0   1/4
  0   0  -1   1/4
 )
2 x,-x+1/4,1/8 +1 {2-xy|1/4,1/4,1/4}
9.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}