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Symmetry operations of the Double Space Group C2221 (No. 20)


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-x,-y,1/2+z
-is+,is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1    1/2
)
(
-i 0
0 i
)
{2001|0,0,1/2}
3-x,y,1/2-z
-s-,s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1    1/2
)
(
0 -1
1 0
)
{2010|0,0,1/2}
4x,-y,-z
-is-,-is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 -i
-i 0
)
{2100|0,0,0}
5x,y,z
-s+,-s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
6-x,-y,1/2+z
is+,-is-
(
  -1   0   0      0
   0  -1   0      0
   0   0   1    1/2
)
(
i 0
0 -i
)
{d2001|0,0,1/2}
7-x,y,1/2-z
s-,-s+
(
  -1   0   0      0
   0   1   0      0
   0   0  -1    1/2
)
(
0 1
-1 0
)
{d2010|0,0,1/2}
8x,-y,-z
is-,is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 i
i 0
)
{d2100|0,0,0}
(1/2,1/2,0)+set


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