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Minimal supergroups (of index 13) 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  13   0   0
   0   0   1   t
)


WP splitting


2Pc
(
   1   0   0   r
   0   1   0   0
   0   0  13   13t
)


WP splitting


3Pc
(
  13   0   0   13r
   0   1   0   0
   0   0   1   t
)


WP splitting


4Pc
(
  13   0   0   13r
   0   1   0   0
  -1   0   1   -r+t
)


WP splitting


5Pc
(
  13   0   0   13r
   0   1   0   0
  -2   0   1   -2r+t
)


WP splitting


6Pc
(
  13   0   0   13r
   0   1   0   0
  -3   0   1   -3r+t
)


WP splitting


7Pc
(
  13   0   0   13r
   0   1   0   0
  -4   0   1   -4r+t
)


WP splitting


8Pc
(
  13   0   0   13r
   0   1   0   0
  -5   0   1   -5r+t
)


WP splitting


9Pc
(
  13   0   0   13r
   0   1   0   0
  -6   0   1   -6r+t
)


WP splitting


10Pc
(
  13   0   0   13r
   0   1   0   0
  -7   0   1   -7r+t
)


WP splitting


11Pc
(
  13   0   0   13r
   0   1   0   0
  -8   0   1   -8r+t
)


WP splitting


12Pc
(
  13   0   0   13r
   0   1   0   0
  -9   0   1   -9r+t
)


WP splitting


13Pc
(
  13   0   0   13r
   0   1   0   0
  -10   0   1   -10r+t
)


WP splitting


14Pc
(
  13   0   0   13r
   0   1   0   0
  -11   0   1   -11r+t
)


WP splitting


15Pc
(
  13   0   0   13r
   0   1   0   0
  -12   0   1   -12r+t
)


WP splitting








  

    
      
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