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RI-3c [#167.108] (Type: 4 -- Type IV (klassengleiche))

[OG: RR-3m' #166.7.1333]

Operators of Group 167.108 (RI-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}
2.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
4.y,x,-z+1/2
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   1/2
 )
2 x,x,1/4 +1 {2xy|0,0,1/2}
5.x-y,-y,-z+1/2
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1   1/2
 )
2 x,0,1/4 +1 {2x|0,0,1/2}
6.-x,-x+y,-z+1/2
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   1/2
 )
2 0,y,1/4 +1 {2y|0,0,1/2}
7.-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}
8.y,-x+y,-z
-my,mx-my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z 0,0,0 +1 {-3z|0,0,0}
9.x-y,x,-z
-mx+my,-mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-3- 0,0,z 0,0,0 +1 {-3z-1|0,0,0}
10.-y,-x,z+1/2
my,mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
 )
c x,-x,z +1 {mxy|0,0,1/2}
11.-x+y,y,z+1/2
mx-my,-my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1   1/2
 )
c x,2x,z +1 {mx|0,0,1/2}
12.x,x-y,z+1/2
-mx,-mx+my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1   1/2
 )
c 2x,x,z +1 {my|0,0,1/2}
13.x+2/3,y+1/3,z+1/3
mx,my,mz
( 
  1   0   0   2/3
  0   1   0   1/3
  0   0   1   1/3
 )
t (2/3,1/3,1/3) +1 {1|2/3,1/3,1/3}
14d.-y+2/3,x-y+1/3,z+1/3
-my,mx-my,mz
( 
  0  -1   0   2/3
  1  -1   0   1/3
  0   0   1   1/3
 )
3+ (0,0,1/3) 1/3,1/3,z +1 {3z|2/3,1/3,1/3}
15d.-x+y+2/3,-x+1/3,z+1/3
-mx+my,-mx,mz
( 
 -1   1   0   2/3
 -1   0   0   1/3
  0   0   1   1/3
 )
3- (0,0,1/3) 1/3,0,z +1 {3z-1|2/3,1/3,1/3}
16d.y+2/3,x+1/3,-z+5/6
my,mx,-mz
( 
  0   1   0   2/3
  1   0   0   1/3
  0   0  -1   5/6
 )
2 (1/2,1/2,0) x,x-0.16668,5/12 +1 {2xy|2/3,1/3,5/6}
17d.x-y+2/3,-y+1/3,-z+5/6
mx-my,-my,-mz
( 
  1  -1   0   2/3
  0  -1   0   1/3
  0   0  -1   5/6
 )
2 (1/2,0,0) x,1/6,5/12 +1 {2x|2/3,1/3,5/6}
18d.-x+2/3,-x+y+1/3,-z+5/6
-mx,-mx+my,-mz
( 
 -1   0   0   2/3
 -1   1   0   1/3
  0   0  -1   5/6
 )
2 1/3,y,5/12 +1 {2y|2/3,1/3,5/6}