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Symmetry operations of the Double Space Group Fddd (No. 70)


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}
23/4-x,3/4-y,z
-is+,is-
(
  -1   0   0    3/4
   0  -1   0    3/4
   0   0   1      0
)
(
 -i  0
  0  i
)
{2001|3/4,3/4,0}
33/4-x,y,3/4-z
-s-,s+
(
  -1   0   0    3/4
   0   1   0      0
   0   0  -1    3/4
)
(
  0 -1
  1  0
)
{2010|3/4,0,3/4}
4x,3/4-y,3/4-z
-is-,-is+
(
   1   0   0      0
   0  -1   0    3/4
   0   0  -1    3/4
)
(
  0 -i
 -i  0
)
{2100|0,3/4,3/4}
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}
61/4+x,1/4+y,-z
-is+,is-
(
   1   0   0    1/4
   0   1   0    1/4
   0   0  -1      0
)
(
 -i  0
  0  i
)
{m001|1/4,1/4,0}
71/4+x,-y,1/4+z
-s-,s+
(
   1   0   0    1/4
   0  -1   0      0
   0   0   1    1/4
)
(
  0 -1
  1  0
)
{m010|1/4,0,1/4}
8-x,1/4+y,1/4+z
-is-,-is+
(
  -1   0   0      0
   0   1   0    1/4
   0   0   1    1/4
)
(
  0 -i
 -i  0
)
{m100|0,1/4,1/4}
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}
103/4-x,3/4-y,z
is+,-is-
(
  -1   0   0    3/4
   0  -1   0    3/4
   0   0   1      0
)
(
  i  0
  0 -i
)
{d2001|3/4,3/4,0}
113/4-x,y,3/4-z
s-,-s+
(
  -1   0   0    3/4
   0   1   0      0
   0   0  -1    3/4
)
(
  0  1
 -1  0
)
{d2010|3/4,0,3/4}
12x,3/4-y,3/4-z
is-,is+
(
   1   0   0      0
   0  -1   0    3/4
   0   0  -1    3/4
)
(
 0 i
 i 0
)
{d2100|0,3/4,3/4}
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}
141/4+x,1/4+y,-z
is+,-is-
(
   1   0   0    1/4
   0   1   0    1/4
   0   0  -1      0
)
(
  i  0
  0 -i
)
{dm001|1/4,1/4,0}
151/4+x,-y,1/4+z
s-,-s+
(
   1   0   0    1/4
   0  -1   0      0
   0   0   1    1/4
)
(
  0  1
 -1  0
)
{dm010|1/4,0,1/4}
16-x,1/4+y,1/4+z
is-,is+
(
  -1   0   0      0
   0   1   0    1/4
   0   0   1    1/4
)
(
 0 i
 i 0
)
{dm100|0,1/4,1/4}
(0,1/2,1/2)+set
(1/2,0,1/2)+set
(1/2,1/2,0)+set


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