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FSd-3c [#228.139] (Type: 4 -- Type IV (klassengleiche))

[OG: PFn-3m' #224.7.1617]

Operators of Group 228.139 (FSd-3c)

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