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I41221' [#98.158] (Type: 2 -- Type II (grey group))

[OG: I41221' #98.2.815]

Operators of Group 98.158 (I41221')

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+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,x+1/2,z+1/4
0,0,0
( 
  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}
4d.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|1/2,0,3/4}
5d.-x+1/2,y,-z+3/4
-mx,my,-mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1   3/4
 )
2 1/4,y,3/8 +1 {2y|1/2,0,3/4}
6.x,-y+1/2,-z+1/4
0,0,0
( 
  1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/4
 )
2 x,1/4,1/8 +1 {2x|0,1/2,1/4}
7d.y+1/2,x+1/2,-z+1/2
my,mx,-mz
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
 )
2 (1/2,1/2,0) x,x,1/4 +1 {2xy|1/2,1/2,1/2}
8.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {2-xy|0,0,0}
9.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}
10.-x,-y,z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
2 0,0,z +1 {2z|0,0,0}
11d.-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}
12.y,-x+1/2,z+1/4
0,0,0
( 
  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}
13.-x,y+1/2,-z+1/4
0,0,0
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1   1/4
 )
2 (0,1/2,0) 0,y,1/8 +1 {2y|0,1/2,1/4}
14d.x+1/2,-y,-z+3/4
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0     0
  0   0  -1   3/4
 )
2 (1/2,0,0) x,0,3/8 +1 {2x|1/2,0,3/4}
15.y,x,-z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 )
2 x,x,0 +1 {2xy|0,0,0}
16d.-y+1/2,-x+1/2,-z+1/2
-my,-mx,-mz
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
 )
2 x,-x+1/2,1/4 +1 {2-xy|1/2,1/2,1/2}
17.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'