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Minimal supergroups (of index 13) isomorphic to the group 13 (P2/c) of the group 13 (P2/c)


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...
1P2/c
(
   1   0   0   0
   0  13   0   0
   0   0   1   0
)
WP splitting
2P2/c
(
   1   0   0   0
   0   1   0   0
   0   0  13   0
)
WP splitting
3P2/c
(
  13   0   0   0
   0   1   0   0
   0   0   1   0
)
WP splitting
4P2/c
(
  13   0   0   0
   0   1   0   0
  -1   0   1   0
)
WP splitting
5P2/c
(
  13   0   0   0
   0   1   0   0
  -2   0   1   0
)
WP splitting
6P2/c
(
  13   0   0   0
   0   1   0   0
  -3   0   1   0
)
WP splitting
7P2/c
(
  13   0   0   0
   0   1   0   0
  -4   0   1   0
)
WP splitting
8P2/c
(
  13   0   0   0
   0   1   0   0
  -5   0   1   0
)
WP splitting
9P2/c
(
  13   0   0   0
   0   1   0   0
  -6   0   1   0
)
WP splitting
10P2/c
(
  13   0   0   0
   0   1   0   0
  -7   0   1   0
)
WP splitting
11P2/c
(
  13   0   0   0
   0   1   0   0
  -8   0   1   0
)
WP splitting
12P2/c
(
  13   0   0   0
   0   1   0   0
  -9   0   1   0
)
WP splitting
13P2/c
(
  13   0   0   0
   0   1   0   0
  -10   0   1   0
)
WP splitting
14P2/c
(
  13   0   0   0
   0   1   0   0
  -11   0   1   0
)
WP splitting
15P2/c
(
  13   0   0   0
   0   1   0   0
  -12   0   1   0
)
WP splitting


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