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Minimal supergroups (of index 17) isomorphic to the group 7 (Pc) of the group 7 (Pc)


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...
1Pc
(
   1   0   0   r
   0  17   0   0
   0   0   1   t
)
WP splitting
2Pc
(
   1   0   0   r
   0   1   0   0
   0   0  17   17t
)
WP splitting
3Pc
(
  17   0   0   17r
   0   1   0   0
   0   0   1   t
)
WP splitting
4Pc
(
  17   0   0   17r
   0   1   0   0
  -1   0   1   -r+t
)
WP splitting
5Pc
(
  17   0   0   17r
   0   1   0   0
  -2   0   1   -2r+t
)
WP splitting
6Pc
(
  17   0   0   17r
   0   1   0   0
  -3   0   1   -3r+t
)
WP splitting
7Pc
(
  17   0   0   17r
   0   1   0   0
  -4   0   1   -4r+t
)
WP splitting
8Pc
(
  17   0   0   17r
   0   1   0   0
  -5   0   1   -5r+t
)
WP splitting
9Pc
(
  17   0   0   17r
   0   1   0   0
  -6   0   1   -6r+t
)
WP splitting
10Pc
(
  17   0   0   17r
   0   1   0   0
  -7   0   1   -7r+t
)
WP splitting
11Pc
(
  17   0   0   17r
   0   1   0   0
  -8   0   1   -8r+t
)
WP splitting
12Pc
(
  17   0   0   17r
   0   1   0   0
  -9   0   1   -9r+t
)
WP splitting
13Pc
(
  17   0   0   17r
   0   1   0   0
  -10   0   1   -10r+t
)
WP splitting
14Pc
(
  17   0   0   17r
   0   1   0   0
  -11   0   1   -11r+t
)
WP splitting
15Pc
(
  17   0   0   17r
   0   1   0   0
  -12   0   1   -12r+t
)
WP splitting
16Pc
(
  17   0   0   17r
   0   1   0   0
  -13   0   1   -13r+t
)
WP splitting
17Pc
(
  17   0   0   17r
   0   1   0   0
  -14   0   1   -14r+t
)
WP splitting
18Pc
(
  17   0   0   17r
   0   1   0   0
  -15   0   1   -15r+t
)
WP splitting
19Pc
(
  17   0   0   17r
   0   1   0   0
  -16   0   1   -16r+t
)
WP splitting


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