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PFm-3 [#200.4.1519] (Type: 4 -- Type IV (klassengleiche))

[BNS: FSm-3] #202.25

Operators of Group 200.4.1519 (PFm-3)


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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,-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.-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}
14.-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}
15.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}
16.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}
17.-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}
18.-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}
19.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}
20.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}
21.-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}
22.-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}
23.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}
24.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}