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


WP splitting


2P21
(
   1   0   0   0
   0   1   0   s
   0   0  13   0
)


WP splitting


3P21
(
  13   0   0   0
   0   1   0   s
   0   0   1   0
)


WP splitting


4P21
(
  13   0   0   0
   0   1   0   s
  -1   0   1   0
)


WP splitting


5P21
(
  13   0   0   0
   0   1   0   s
  -2   0   1   0
)


WP splitting


6P21
(
  13   0   0   0
   0   1   0   s
  -3   0   1   0
)


WP splitting


7P21
(
  13   0   0   0
   0   1   0   s
  -4   0   1   0
)


WP splitting


8P21
(
  13   0   0   0
   0   1   0   s
  -5   0   1   0
)


WP splitting


9P21
(
  13   0   0   0
   0   1   0   s
  -6   0   1   0
)


WP splitting


10P21
(
  13   0   0   0
   0   1   0   s
  -7   0   1   0
)


WP splitting


11P21
(
  13   0   0   0
   0   1   0   s
  -8   0   1   0
)


WP splitting


12P21
(
  13   0   0   0
   0   1   0   s
  -9   0   1   0
)


WP splitting


13P21
(
  13   0   0   0
   0   1   0   s
  -10   0   1   0
)


WP splitting


14P21
(
  13   0   0   0
   0   1   0   s
  -11   0   1   0
)


WP splitting


15P21
(
  13   0   0   0
   0   1   0   s
  -12   0   1   0
)


WP splitting








  

    
      
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