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PI4222 [#93.8.783] (Type: 4 -- Type IV (klassengleiche))

[BNS: Ic4122] #98.162

Operators of Group 93.8.783 (PI4222)


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