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I41' [#80.31] (Type: 3 -- Type III (translationgleiche))

[OG: I41' #80.3.690]

Operators of Group 80.31 (I41')


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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+1/2,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,1/4,z +1 {2z|1/2,1/2,1/2}
3.x+1/2,y+1/2,z+1/2
mx,my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0   1   1/2
 )
t (1/2,1/2,1/2) +1 {1|1/2,1/2,1/2}
4.-x,-y,z
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
2 0,0,z +1 {2z|0,0,0}
5.-y,x+1/2,z+1/4
my,-mx,-mz
( 
  0  -1   0     0
  1   0   0   1/2
  0   0   1   1/4
 ) '
4+ (0,0,1/4) -1/4,1/4,z -1 {4z|0,1/2,1/4}'