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Symmetry operations of the Double Space Group Cmme (No. 67)


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,1/2-y,z
-is+,is-
(
  -1   0   0      0
   0  -1   0    1/2
   0   0   1      0
)
(
-i 0
0 i
)
{2001|0,1/2,0}
3-x,1/2+y,-z
-s-,s+
(
  -1   0   0      0
   0   1   0    1/2
   0   0  -1      0
)
(
0 -1
1 0
)
{2010|0,1/2,0}
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}
5-x,-y,-z
s+,s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
1 0
0 1
)
{1|0,0,0}
6x,1/2+y,-z
-is+,is-
(
   1   0   0      0
   0   1   0    1/2
   0   0  -1      0
)
(
-i 0
0 i
)
{m001|0,1/2,0}
7x,1/2-y,z
-s-,s+
(
   1   0   0      0
   0  -1   0    1/2
   0   0   1      0
)
(
0 -1
1 0
)
{m010|0,1/2,0}
8-x,y,z
-is-,-is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 -i
-i 0
)
{m100|0,0,0}
9x,y,z
-s+,-s-
(
   1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
10-x,1/2-y,z
is+,-is-
(
  -1   0   0      0
   0  -1   0    1/2
   0   0   1      0
)
(
i 0
0 -i
)
{d2001|0,1/2,0}
11-x,1/2+y,-z
s-,-s+
(
  -1   0   0      0
   0   1   0    1/2
   0   0  -1      0
)
(
0 1
-1 0
)
{d2010|0,1/2,0}
12x,-y,-z
is-,is+
(
   1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
0 i
i 0
)
{d2100|0,0,0}
13-x,-y,-z
-s+,-s-
(
  -1   0   0      0
   0  -1   0      0
   0   0  -1      0
)
(
-1 0
0 -1
)
{d1|0,0,0}
14x,1/2+y,-z
is+,-is-
(
   1   0   0      0
   0   1   0    1/2
   0   0  -1      0
)
(
i 0
0 -i
)
{dm001|0,1/2,0}
15x,1/2-y,z
s-,-s+
(
   1   0   0      0
   0  -1   0    1/2
   0   0   1      0
)
(
0 1
-1 0
)
{dm010|0,1/2,0}
16-x,y,z
is-,is+
(
  -1   0   0      0
   0   1   0      0
   0   0   1      0
)
(
0 i
i 0
)
{dm100|0,0,0}
(1/2,1/2,0)+set


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