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Minimal supergroups (of index 17) isomorphic to the group 4 (P21) of the group 4 (P21)


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...
1P21
(
   1   0   0   0
   0  17   0   17s
   0   0   1   0
)
WP splitting
2P21
(
   1   0   0   0
   0   1   0   s
   0   0  17   0
)
WP splitting
3P21
(
  17   0   0   0
   0   1   0   s
   0   0   1   0
)
WP splitting
4P21
(
  17   0   0   0
   0   1   0   s
  -1   0   1   0
)
WP splitting
5P21
(
  17   0   0   0
   0   1   0   s
  -2   0   1   0
)
WP splitting
6P21
(
  17   0   0   0
   0   1   0   s
  -3   0   1   0
)
WP splitting
7P21
(
  17   0   0   0
   0   1   0   s
  -4   0   1   0
)
WP splitting
8P21
(
  17   0   0   0
   0   1   0   s
  -5   0   1   0
)
WP splitting
9P21
(
  17   0   0   0
   0   1   0   s
  -6   0   1   0
)
WP splitting
10P21
(
  17   0   0   0
   0   1   0   s
  -7   0   1   0
)
WP splitting
11P21
(
  17   0   0   0
   0   1   0   s
  -8   0   1   0
)
WP splitting
12P21
(
  17   0   0   0
   0   1   0   s
  -9   0   1   0
)
WP splitting
13P21
(
  17   0   0   0
   0   1   0   s
  -10   0   1   0
)
WP splitting
14P21
(
  17   0   0   0
   0   1   0   s
  -11   0   1   0
)
WP splitting
15P21
(
  17   0   0   0
   0   1   0   s
  -12   0   1   0
)
WP splitting
16P21
(
  17   0   0   0
   0   1   0   s
  -13   0   1   0
)
WP splitting
17P21
(
  17   0   0   0
   0   1   0   s
  -14   0   1   0
)
WP splitting
18P21
(
  17   0   0   0
   0   1   0   s
  -15   0   1   0
)
WP splitting
19P21
(
  17   0   0   0
   0   1   0   s
  -16   0   1   0
)
WP splitting


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