Bilbao Crystallographic Server arrow COREPRESENTATIONS PG

Irreducible corepresentations of the Projective Magnetic Point Group 2'mm'


Table of characters of the unitary symmetry operations


1
m01
d1
dm01
A'
1
1
1
1
A''
1
-1
1
-1
1E
1
i
-1
-i
2E
1
-i
-1
i

Multiplication table of the symmetry operations


1
m01
d1
dm01
2'
m'10
d2'
dm'10
1
1
m01
d1
dm01
2'
m'10
d2'
dm'10
m01
m01
d1
dm01
1
m'10
d2'
dm'10
2'
d1
d1
dm01
1
m01
d2'
dm'10
2'
m'10
dm01
dm01
1
m01
d1
dm'10
2'
m'10
d2'
2'
2'
dm'10
d2'
m'10
1
dm01
d1
m01
m'10
m'10
2'
dm'10
d2'
m01
1
dm01
d1
d2'
d2'
m'10
2'
dm'10
d1
m01
1
dm01
dm'10
dm'10
d2'
m'10
2'
dm01
d1
m01
1

Table of projective phases in group multiplication


1
m01
d1
dm01
2'
m'10
d2'
dm'10
1
1
1
1
1
1
1
1
1
m01
1
1
1
1
1
1
1
1
d1
1
1
1
1
1
1
1
1
dm01
1
1
1
1
1
1
1
1
2'
1
1
1
1
1
1
1
1
m'10
1
1
1
1
1
1
1
1
d2'
1
1
1
1
1
1
1
1
dm'10
1
1
1
1
1
1
1
1

Matrices of the representations of the group

The antiunitary operations are written in red color
NMatrix presentationSeitz symbolA'A''1E2E
1
(
 1 0
 0 1
)
(
 1 0
 0 1
)
1
1
1
1
1
2
(
  1  0
  0 -1
)
(
  0 -1
  1  0
)
m01
1
-1
i
-i
3
(
 1 0
 0 1
)
(
 -1  0
  0 -1
)
d1
1
1
-1
-1
4
(
  1  0
  0 -1
)
(
  0  1
 -1  0
)
dm01
1
-1
-i
i
5
(
 -1  0
  0 -1
)
(
 -i  0
  0  i
)
2'
-1
-1
-1
-1
6
(
 -1  0
  0  1
)
(
  0 -i
 -i  0
)
m'10
-1
1
i
-i
7
(
 -1  0
  0 -1
)
(
  i  0
  0 -i
)
d2'
-1
-1
1
1
8
(
 -1  0
  0  1
)
(
 0 i
 i 0
)
dm'10
-1
1
-i
i
k-Subgroupsmag
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