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Symmetry operations of the Double Space Group P32 (No. 145)


N Shorthand
notation		 Matrix presentation Seitz symbol
(0,0,0)+set
1x,y,z
s+,s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
 1 0
 0 1
)
{1|0,0,0}
2-y,x-y,2/3+z
(1+i√3)s+/2,(1-i√3)s-/2
(
   0  -1   0      0
   1  -1   0      0
   0   0   1    2/3
)
(
 (1+i√3)/2  0
  0 (1-i√3)/2
)
{3+001|0,0,2/3}
3-x+y,-x,1/3+z
(1-i√3)s+/2,(1+i√3)s-/2
(
  -1   1   0      0
  -1   0   0      0
   0   0   1    1/3
)
(
 (1-i√3)/2  0
  0 (1+i√3)/2
)
{3-001|0,0,1/3}
4x,y,z
-s+,-s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
 -1  0
  0 -1
)
{d1|0,0,0}
5-y,x-y,2/3+z
-(1+i√3)s+/2,-(1-i√3)s-/2
(
   0  -1   0      0
   1  -1   0      0
   0   0   1    2/3
)
(
 -(1+i√3)/2  0
  0 -(1-i√3)/2
)
{d3+001|0,0,2/3}
6-x+y,-x,1/3+z
-(1-i√3)s+/2,-(1+i√3)s-/2
(
  -1   1   0      0
  -1   0   0      0
   0   0   1    1/3
)
(
 -(1-i√3)/2  0
  0 -(1+i√3)/2
)
{d3-001|0,0,1/3}


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