Bilbao Crystallographic Server arrow Minimal Supergroups List Help

Minimal supergroups (of index 13) isomorphic to the group 9 (Cc) of the group 9 (Cc)


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...
1Cc
(
   1   0   0   r
   0  13   0   0
   0   0   1   t
)
WP splitting
2Cc
(
   1   0   0   r
   0   1   0   0
   0   0  13   13t
)
WP splitting
3Cc
(
  13   0   0   13r
   0   1   0   0
   0   0   1   t
)
WP splitting
4Cc
(
   1   0   2   r+2t
   0   1   0   0
   0   0  13   13t
)
WP splitting
5Cc
(
  13   0   0   13r
   0   1   0   0
  -2   0   1   -2r+t
)
WP splitting
6Cc
(
   1   0   6   r+6t
   0   1   0   0
   0   0  13   13t
)
WP splitting
7Cc
(
  13   0   0   13r
   0   1   0   0
  -4   0   1   -4r+t
)
WP splitting
8Cc
(
   1   0  10   r+10t
   0   1   0   0
   0   0  13   13t
)
WP splitting
9Cc
(
  13   0   0   13r
   0   1   0   0
  -6   0   1   -6r+t
)
WP splitting
10Cc
(
   1   0  14   r+14t
   0   1   0   0
   0   0  13   13t
)
WP splitting
11Cc
(
  13   0   0   13r
   0   1   0   0
  -8   0   1   -8r+t
)
WP splitting
12Cc
(
   1   0  18   r+18t
   0   1   0   0
   0   0  13   13t
)
WP splitting
13Cc
(
  13   0   0   13r
   0   1   0   0
  -10   0   1   -10r+t
)
WP splitting
14Cc
(
   1   0  22   r+22t
   0   1   0   0
   0   0  13   13t
)
WP splitting
15Cc
(
  13   0   0   13r
   0   1   0   0
  -12   0   1   -12r+t
)
WP splitting


Bilbao Crystallographic Server
http://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.eus