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R3c [#161.69] (Type: 1 -- Type I (Fedorov))

[OG: R3c #161.1.1300]

Operators of Group 161.69 (R3c)


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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.-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
)
c x,-x,z +1 {mxy|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
)
c x,2x,z +1 {mx|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
)
c 2x,x,z +1 {my|0,0,1/2}
7.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}
8d.-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}
9d.-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}