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Minimal supergroups (of index 11) isomorphic to the group 12 (C2/m) of the group 12 (C2/m)


Minimal Supergroups
Each supergroup is determined by:
  • The transformation matrix relating the basis of the supergroup with of the subgroup - given in the column Transformation matrix.
  • The coset representatives in the decomposition of the supergroup with respect to the subgroup G = H + Hg + ... one representative from each coset of the decomposition is given in the column Coset representative. To see all the representatives click over [Full cosets].
There are group-supergroup pairs for which there are parameter/s in the translational part of the transformation matrix.
In this case if there are the same parameters in the cosets representatives for each value of the parameters different supergroup of the same type will be obtained.
NNon-conventional HM symbol Transformation matrixCoset RepresentativesWyckoff SplittingMore...
1C2/m
(
   1   0   0   0
   0  11   0   0
   0   0   1   0
)
WP splitting
2C2/m
(
   1   0   0   0
   0   1   0   0
   0   0  11   0
)
WP splitting
3C2/m
(
  11   0   0   0
   0   1   0   0
   0   0   1   0
)
WP splitting
4C2/m
(
   1   0  -1   0
   0   1   0   0
   0   0  11   0
)
WP splitting
5C2/m
(
  11   0   0   0
   0   1   0   0
  -2   0   1   0
)
WP splitting
6C2/m
(
   1   0  -3   0
   0   1   0   0
   0   0  11   0
)
WP splitting
7C2/m
(
  11   0   0   0
   0   1   0   0
  -4   0   1   0
)
WP splitting
8C2/m
(
   1   0  -5   0
   0   1   0   0
   0   0  11   0
)
WP splitting
9C2/m
(
  11   0   0   0
   0   1   0   0
  -6   0   1   0
)
WP splitting
10C2/m
(
   1   0  -7   0
   0   1   0   0
   0   0  11   0
)
WP splitting
11C2/m
(
  11   0   0   0
   0   1   0   0
  -8   0   1   0
)
WP splitting
12C2/m
(
   1   0  -9   0
   0   1   0   0
   0   0  11   0
)
WP splitting
13C2/m
(
  11   0   0   0
   0   1   0   0
  -10   0   1   0
)
WP splitting


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