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I4' [#79.27] (Type: 3 -- Type III (translationgleiche))

[OG: I4' #79.3.685]

Operators of Group 79.27 (I4')

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 0,0,z +1 {2z|0,0,0}
3.x+1/2,y+1/2,z+1/2
mx,my,mz

(
  1   0   0   1/2
  0   1   0   1/2
  0   0   1   1/2
)
t (1/2,1/2,1/2) +1 {1|1/2,1/2,1/2}
4d.-x+1/2,-y+1/2,z+1/2
-mx,-my,mz

(
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2
)
2 (0,0,1/2) 1/4,1/4,z +1 {2z|1/2,1/2,1/2}
5.-y,x,z
my,-mx,-mz

(
  0  -1   0     0
  1   0   0     0
  0   0   1     0
) '
4+ 0,0,z -1 {4z|0,0,0}'
6.y,-x,z
-my,mx,-mz

(
  0   1   0     0
 -1   0   0     0
  0   0   1     0
) '
4- 0,0,z -1 {4z-1|0,0,0}'