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IP41' [#80.5.692] (Type: 4 -- Type IV (klassengleiche))

[BNS: PI43] #78.24

Operators of Group 80.5.692 (IP41')


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