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Minimal supergroups (of index 23) isomorphic to the group 5 (C2) of the group 5 (C2)


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...
1C2
(
   1   0   0   0
   0  23   0   23s
   0   0   1   0
)


WP splitting


2C2
(
   1   0   0   0
   0   1   0   s
   0   0  23   0
)


WP splitting


3C2
(
  23   0   0   0
   0   1   0   s
   0   0   1   0
)


WP splitting


4C2
(
   1   0  -1   0
   0   1   0   s
   0   0  23   0
)


WP splitting


5C2
(
  23   0   0   0
   0   1   0   s
  -2   0   1   0
)


WP splitting


6C2
(
   1   0  -3   0
   0   1   0   s
   0   0  23   0
)


WP splitting


7C2
(
  23   0   0   0
   0   1   0   s
  -4   0   1   0
)


WP splitting


8C2
(
   1   0  -5   0
   0   1   0   s
   0   0  23   0
)


WP splitting


9C2
(
  23   0   0   0
   0   1   0   s
  -6   0   1   0
)


WP splitting


10C2
(
   1   0  -7   0
   0   1   0   s
   0   0  23   0
)


WP splitting


11C2
(
  23   0   0   0
   0   1   0   s
  -8   0   1   0
)


WP splitting


12C2
(
   1   0  -9   0
   0   1   0   s
   0   0  23   0
)


WP splitting


13C2
(
  23   0   0   0
   0   1   0   s
  -10   0   1   0
)


WP splitting


14C2
(
   1   0  -11   0
   0   1   0   s
   0   0  23   0
)


WP splitting


15C2
(
  23   0   0   0
   0   1   0   s
  -12   0   1   0
)


WP splitting


16C2
(
   1   0  -13   0
   0   1   0   s
   0   0  23   0
)


WP splitting


17C2
(
  23   0   0   0
   0   1   0   s
  -14   0   1   0
)


WP splitting


18C2
(
   1   0  -15   0
   0   1   0   s
   0   0  23   0
)


WP splitting


19C2
(
  23   0   0   0
   0   1   0   s
  -16   0   1   0
)


WP splitting


20C2
(
   1   0  -17   0
   0   1   0   s
   0   0  23   0
)


WP splitting


21C2
(
  23   0   0   0
   0   1   0   s
  -18   0   1   0
)


WP splitting


22C2
(
   1   0  -19   0
   0   1   0   s
   0   0  23   0
)


WP splitting


23C2
(
  23   0   0   0
   0   1   0   s
  -20   0   1   0
)


WP splitting


24C2
(
   1   0  -21   0
   0   1   0   s
   0   0  23   0
)


WP splitting


25C2
(
  23   0   0   0
   0   1   0   s
  -22   0   1   0
)


WP splitting








  

    
      
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