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PFm-3m' [#221.7.1600] (Type: 4 -- Type IV (klassengleiche))

[BNS: FSm-3c] #226.127

Operators of Group 221.7.1600 (PFm-3m')

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,y,-z
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
4.-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}
5.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}
6.y,-z,-x
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1     0
 -1   0   0     0
 )
3- -x,-x,x +1 {3xy-z|0,0,0}
7.-y,z,-x
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1     0
 -1   0   0     0
 )
3- x,-x,-x +1 {3-xyz|0,0,0}
8.-y,-z,x
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
9.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}
10.z,-x,-y
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0     0
  0  -1   0     0
 )
3+ -x,x,-x +1 {3x-yz-1|0,0,0}
11.-z,x,-y
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0     0
  0  -1   0     0
 )
3+ -x,-x,x +1 {3xy-z-1|0,0,0}
12.-z,-x,y
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0   1   0     0
 )
3+ x,-x,-x +1 {3-xyz-1|0,0,0}
13.-y+1,-x+1,-z+1
-my,-mx,-mz
( 
  0  -1   0     1
 -1   0   0     1
  0   0  -1     1
 )
2 x,-x+1,1/2 +1 {2-xy|1,1,1}
14.-y+1,x+1,z+1
-my,mx,mz
( 
  0  -1   0     1
  1   0   0     1
  0   0   1     1
 )
4+ (0,0,1) 0,1,z +1 {4z|1,1,1}
15.y+1,-x+1,z+1
my,-mx,mz
( 
  0   1   0     1
 -1   0   0     1
  0   0   1     1
 )
4- (0,0,1) 1,0,z +1 {4z-1|1,1,1}
16.y+1,x+1,-z+1
my,mx,-mz
( 
  0   1   0     1
  1   0   0     1
  0   0  -1     1
 )
2 (1,1,0) x,x,1/2 +1 {2xy|1,1,1}
17.-x+1,-z+1,-y+1
-mx,-mz,-my
( 
 -1   0   0     1
  0   0  -1     1
  0  -1   0     1
 )
2 1/2,y+1,-y +1 {2-yz|1,1,1}
18.-x+1,z+1,y+1
-mx,mz,my
( 
 -1   0   0     1
  0   0   1     1
  0   1   0     1
 )
2 (0,1,1) 1/2,y,y +1 {2yz|1,1,1}
19.x+1,-z+1,y+1
mx,-mz,my
( 
  1   0   0     1
  0   0  -1     1
  0   1   0     1
 )
4+ (1,0,0) x,0,1 +1 {4x|1,1,1}
20.x+1,z+1,-y+1
mx,mz,-my
( 
  1   0   0     1
  0   0   1     1
  0  -1   0     1
 )
4- (1,0,0) x,1,0 +1 {4x-1|1,1,1}
21.-z+1,-y+1,-x+1
-mz,-my,-mx
( 
  0   0  -1     1
  0  -1   0     1
 -1   0   0     1
 )
2 -x+1,1/2,x +1 {2-xz|1,1,1}
22.-z+1,y+1,x+1
-mz,my,mx
( 
  0   0  -1     1
  0   1   0     1
  1   0   0     1
 )
4- (0,1,0) 0,y,1 +1 {4y-1|1,1,1}
23.z+1,-y+1,x+1
mz,-my,mx
( 
  0   0   1     1
  0  -1   0     1
  1   0   0     1
 )
2 (1,0,1) x,1/2,x +1 {2xz|1,1,1}
24.z+1,y+1,-x+1
mz,my,-mx
( 
  0   0   1     1
  0   1   0     1
 -1   0   0     1
 )
4+ (0,1,0) 1,y,0 +1 {4y|1,1,1}
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}
26.-x,y,z
mx,-my,-mz
( 
 -1   0   0     0
  0   1   0     0
  0   0   1     0
 )
m 0,y,z +1 {mx|0,0,0}
27.x,-y,z
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {my|0,0,0}
28.x,y,-z
-mx,-my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
m x,y,0 +1 {mz|0,0,0}
29.-y,-z,-x
my,mz,mx
( 
  0  -1   0     0
  0   0  -1     0
 -1   0   0     0
 )
-3- x,x,x; 0,0,0 +1 {-3xyz-1|0,0,0}
30.-y,z,x
my,-mz,-mx
( 
  0  -1   0     0
  0   0   1     0
  1   0   0     0
 )
-3- -x,-x,x; 0,0,0 +1 {-3xy-z|0,0,0}
31.y,-z,x
-my,mz,-mx
( 
  0   1   0     0
  0   0  -1     0
  1   0   0     0
 )
-3- x,-x,-x; 0,0,0 +1 {-3-xyz|0,0,0}
32.y,z,-x
-my,-mz,mx
( 
  0   1   0     0
  0   0   1     0
 -1   0   0     0
 )
-3- -x,x,-x; 0,0,0 +1 {-3x-yz|0,0,0}
33.-z,-x,-y
mz,mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
 )
-3+ x,x,x; 0,0,0 +1 {-3xyz|0,0,0}
34.-z,x,y
mz,-mx,-my
( 
  0   0  -1     0
  1   0   0     0
  0   1   0     0
 )
-3+ -x,x,-x; 0,0,0 +1 {-3x-yz-1|0,0,0}
35.z,-x,y
-mz,mx,-my
( 
  0   0   1     0
 -1   0   0     0
  0   1   0     0
 )
-3+ -x,-x,x; 0,0,0 +1 {-3xy-z-1|0,0,0}
36.z,x,-y
-mz,-mx,my
( 
  0   0   1     0
  1   0   0     0
  0  -1   0     0
 )
-3+ x,-x,-x; 0,0,0 +1 {-3-xyz-1|0,0,0}
37.y+1,x+1,z+1
-my,-mx,-mz
( 
  0   1   0     1
  1   0   0     1
  0   0   1     1
 )
g (1,1,1) x,x,z +1 {m-xy|1,1,1}
38.y+1,-x+1,-z+1
-my,mx,mz
( 
  0   1   0     1
 -1   0   0     1
  0   0  -1     1
 )
-4+ 1,0,z; 1,0,1/2 +1 {-4z|1,1,1}
39.-y+1,x+1,-z+1
my,-mx,mz
( 
  0  -1   0     1
  1   0   0     1
  0   0  -1     1
 )
-4- 0,1,z; 0,1,1/2 +1 {-4z-1|1,1,1}
40.-y+1,-x+1,z+1
my,mx,-mz
( 
  0  -1   0     1
 -1   0   0     1
  0   0   1     1
 )
g (0,0,1) x+1,-x,z +1 {mxy|1,1,1}
41.x+1,z+1,y+1
-mx,-mz,-my
( 
  1   0   0     1
  0   0   1     1
  0   1   0     1
 )
g (1,1,1) x,y,y +1 {m-yz|1,1,1}
42.x+1,-z+1,-y+1
-mx,mz,my
( 
  1   0   0     1
  0   0  -1     1
  0  -1   0     1
 )
g (1,0,0) x,y+1,-y +1 {myz|1,1,1}
43.-x+1,z+1,-y+1
mx,-mz,my
( 
 -1   0   0     1
  0   0   1     1
  0  -1   0     1
 )
-4+ x,1,0; 1/2,1,0 +1 {-4x|1,1,1}
44.-x+1,-z+1,y+1
mx,mz,-my
( 
 -1   0   0     1
  0   0  -1     1
  0   1   0     1
 )
-4- x,0,1; 1/2,0,1 +1 {-4x-1|1,1,1}
45.z+1,y+1,x+1
-mz,-my,-mx
( 
  0   0   1     1
  0   1   0     1
  1   0   0     1
 )
g (1,1,1) x,y,x +1 {m-xz|1,1,1}
46.z+1,-y+1,-x+1
-mz,my,mx
( 
  0   0   1     1
  0  -1   0     1
 -1   0   0     1
 )
-4- 1,y,0; 1,1/2,0 +1 {-4y-1|1,1,1}
47.-z+1,y+1,-x+1
mz,-my,mx
( 
  0   0  -1     1
  0   1   0     1
 -1   0   0     1
 )
g (0,1,0) -x+1,y,x +1 {mxz|1,1,1}
48.-z+1,-y+1,x+1
mz,my,-mx
( 
  0   0  -1     1
  0  -1   0     1
  1   0   0     1
 )
-4+ 0,y,1; 0,1/2,1 +1 {-4y|1,1,1}