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FSd-3m [#227.133] (Type: 4 -- Type IV (klassengleiche))

[OG: PFn-3m #224.6.1616]

Operators of Group 227.133 (FSd-3m)


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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+3/4,-y+1/4,z+1/2
-mx,-my,mz
( 
 -1   0   0   3/4
  0  -1   0   1/4
  0   0   1   1/2
 )
2 (0,0,1/2) 3/8,1/8,z +1 {2z|3/4,1/4,1/2}
3d.-x+1/4,y+1/2,-z+3/4
-mx,my,-mz
( 
 -1   0   0   1/4
  0   1   0   1/2
  0   0  -1   3/4
 )
2 (0,1/2,0) 1/8,y,3/8 +1 {2y|1/4,1/2,3/4}
4d.x+1/2,-y+3/4,-z+1/4
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0   3/4
  0   0  -1   1/4
 )
2 (1/2,0,0) x,3/8,1/8 +1 {2x|1/2,3/4,1/4}
5.z,x,y
mz,mx,my
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
6d.z+1/2,-x+3/4,-y+1/4
mz,-mx,-my
( 
  0   0   1   1/2
 -1   0   0   3/4
  0  -1   0   1/4
 )
3+ -x+1/2,x+1/4,-x +1 {3x-yz-1|1/2,3/4,1/4}
7d.-z+3/4,-x+1/4,y+1/2
-mz,-mx,my
( 
  0   0  -1   3/4
 -1   0   0   1/4
  0   1   0   1/2
 )
3+ x+3/4,-x,-x +1 {3-xyz-1|3/4,1/4,1/2}
8d.-z+1/4,x+1/2,-y+3/4
-mz,mx,-my
( 
  0   0  -1   1/4
  1   0   0   1/2
  0  -1   0   3/4
 )
3+ -x+1/4,-x+3/4,x +1 {3xy-z-1|1/4,1/2,3/4}
9.y,z,x
my,mz,mx
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
10d.-y+1/4,z+1/2,-x+3/4
-my,mz,-mx
( 
  0  -1   0   1/4
  0   0   1   1/2
 -1   0   0   3/4
 )
3- (-1/3,1/3,1/3) x+5/12,-x+1/6,-x +1 {3-xyz|1/4,1/2,3/4}
11d.y+1/2,-z+3/4,-x+1/4
my,-mz,-mx
( 
  0   1   0   1/2
  0   0  -1   3/4
 -1   0   0   1/4
 )
3- (1/3,1/3,-1/3) -x+7/12,-x+5/12,x +1 {3xy-z|1/2,3/4,1/4}
12d.-y+3/4,-z+1/4,x+1/2
-my,-mz,mx
( 
  0  -1   0   3/4
  0   0  -1   1/4
  1   0   0   1/2
 )
3- (1/3,-1/3,1/3) -x-1/6,x+7/12,-x +1 {3x-yz|3/4,1/4,1/2}
13d.y+3/4,x+1/4,-z+1/2
my,mx,-mz
( 
  0   1   0   3/4
  1   0   0   1/4
  0   0  -1   1/2
 )
2 (1/2,1/2,0) x,x-1/4,1/4 +1 {2xy|3/4,1/4,1/2}
14.-y,-x,-z
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {2-xy|0,0,0}
15d.y+1/4,-x+1/2,z+3/4
my,-mx,mz
( 
  0   1   0   1/4
 -1   0   0   1/2
  0   0   1   3/4
 )
4- (0,0,3/4) 3/8,1/8,z +1 {4z-1|1/4,1/2,3/4}
16d.-y+1/2,x+3/4,z+1/4
-my,mx,mz
( 
  0  -1   0   1/2
  1   0   0   3/4
  0   0   1   1/4
 )
4+ (0,0,1/4) -1/8,5/8,z +1 {4z|1/2,3/4,1/4}
17d.x+3/4,z+1/4,-y+1/2
mx,mz,-my
( 
  1   0   0   3/4
  0   0   1   1/4
  0  -1   0   1/2
 )
4- (3/4,0,0) x,3/8,1/8 +1 {4x-1|3/4,1/4,1/2}
18d.-x+1/2,z+3/4,y+1/4
-mx,mz,my
( 
 -1   0   0   1/2
  0   0   1   3/4
  0   1   0   1/4
 )
2 (0,1/2,1/2) 1/4,y+1/4,y +1 {2yz|1/2,3/4,1/4}
19.-x,-z,-y
-mx,-mz,-my
( 
 -1   0   0     0
  0   0  -1     0
  0  -1   0     0
 )
2 0,y,-y +1 {2-yz|0,0,0}
20d.x+1/4,-z+1/2,y+3/4
mx,-mz,my
( 
  1   0   0   1/4
  0   0  -1   1/2
  0   1   0   3/4
 )
4+ (1/4,0,0) x,-1/8,5/8 +1 {4x|1/4,1/2,3/4}
21d.z+3/4,y+1/4,-x+1/2
mz,my,-mx
( 
  0   0   1   3/4
  0   1   0   1/4
 -1   0   0   1/2
 )
4+ (0,1/4,0) 5/8,y,-1/8 +1 {4y|3/4,1/4,1/2}
22d.z+1/4,-y+1/2,x+3/4
mz,-my,mx
( 
  0   0   1   1/4
  0  -1   0   1/2
  1   0   0   3/4
 )
2 (1/2,0,1/2) x-0.25,1/4,x +1 {2xz|1/4,1/2,3/4}
23d.-z+1/2,y+3/4,x+1/4
-mz,my,mx
( 
  0   0  -1   1/2
  0   1   0   3/4
  1   0   0   1/4
 )
4- (0,3/4,0) 1/8,y,3/8 +1 {4y-1|1/2,3/4,1/4}
24.-z,-y,-x
-mz,-my,-mx
( 
  0   0  -1     0
  0  -1   0     0
 -1   0   0     0
 )
2 -x,0,x +1 {2-xz|0,0,0}
25.-x,-y,-z
mx,my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}