Bilbao Crystallographic Server arrow Minimal Supergroups List Help

Minimal supergroups (of index 23) isomorphic to the group 8 (Cm) of the group 8 (Cm)


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...
1Cm
(
   1   0   0   r
   0  23   0   0
   0   0   1   t
)
WP splitting
2Cm
(
   1   0   0   r
   0   1   0   0
   0   0  23   23t
)
WP splitting
3Cm
(
  23   0   0   23r
   0   1   0   0
   0   0   1   t
)
WP splitting
4Cm
(
   1   0  -1   r-t
   0   1   0   0
   0   0  23   23t
)
WP splitting
5Cm
(
  23   0   0   23r
   0   1   0   0
  -2   0   1   -2r+t
)
WP splitting
6Cm
(
   1   0  -3   r-3t
   0   1   0   0
   0   0  23   23t
)
WP splitting
7Cm
(
  23   0   0   23r
   0   1   0   0
  -4   0   1   -4r+t
)
WP splitting
8Cm
(
   1   0  -5   r-5t
   0   1   0   0
   0   0  23   23t
)
WP splitting
9Cm
(
  23   0   0   23r
   0   1   0   0
  -6   0   1   -6r+t
)
WP splitting
10Cm
(
   1   0  -7   r-7t
   0   1   0   0
   0   0  23   23t
)
WP splitting
11Cm
(
  23   0   0   23r
   0   1   0   0
  -8   0   1   -8r+t
)
WP splitting
12Cm
(
   1   0  -9   r-9t
   0   1   0   0
   0   0  23   23t
)
WP splitting
13Cm
(
  23   0   0   23r
   0   1   0   0
  -10   0   1   -10r+t
)
WP splitting
14Cm
(
   1   0  -11   r-11t
   0   1   0   0
   0   0  23   23t
)
WP splitting
15Cm
(
  23   0   0   23r
   0   1   0   0
  -12   0   1   -12r+t
)
WP splitting
16Cm
(
   1   0  -13   r-13t
   0   1   0   0
   0   0  23   23t
)
WP splitting
17Cm
(
  23   0   0   23r
   0   1   0   0
  -14   0   1   -14r+t
)
WP splitting
18Cm
(
   1   0  -15   r-15t
   0   1   0   0
   0   0  23   23t
)
WP splitting
19Cm
(
  23   0   0   23r
   0   1   0   0
  -16   0   1   -16r+t
)
WP splitting
20Cm
(
   1   0  -17   r-17t
   0   1   0   0
   0   0  23   23t
)
WP splitting
21Cm
(
  23   0   0   23r
   0   1   0   0
  -18   0   1   -18r+t
)
WP splitting
22Cm
(
   1   0  -19   r-19t
   0   1   0   0
   0   0  23   23t
)
WP splitting
23Cm
(
  23   0   0   23r
   0   1   0   0
  -20   0   1   -20r+t
)
WP splitting
24Cm
(
   1   0  -21   r-21t
   0   1   0   0
   0   0  23   23t
)
WP splitting
25Cm
(
  23   0   0   23r
   0   1   0   0
  -22   0   1   -22r+t
)
WP splitting


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