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Minimal supergroups (of index 19) isomorphic to the group 10 (P2/m) of the group 10 (P2/m)


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...
1P2/m
(
   1   0   0   0
   0  19   0   0
   0   0   1   0
)


WP splitting


2P2/m
(
   1   0   0   0
   0   1   0   0
   0   0  19   0
)


WP splitting


3P2/m
(
  19   0   0   0
   0   1   0   0
   0   0   1   0
)


WP splitting


4P2/m
(
  19   0   0   0
   0   1   0   0
  -1   0   1   0
)


WP splitting


5P2/m
(
  19   0   0   0
   0   1   0   0
  -2   0   1   0
)


WP splitting


6P2/m
(
  19   0   0   0
   0   1   0   0
  -3   0   1   0
)


WP splitting


7P2/m
(
  19   0   0   0
   0   1   0   0
  -4   0   1   0
)


WP splitting


8P2/m
(
  19   0   0   0
   0   1   0   0
  -5   0   1   0
)


WP splitting


9P2/m
(
  19   0   0   0
   0   1   0   0
  -6   0   1   0
)


WP splitting


10P2/m
(
  19   0   0   0
   0   1   0   0
  -7   0   1   0
)


WP splitting


11P2/m
(
  19   0   0   0
   0   1   0   0
  -8   0   1   0
)


WP splitting


12P2/m
(
  19   0   0   0
   0   1   0   0
  -9   0   1   0
)


WP splitting


13P2/m
(
  19   0   0   0
   0   1   0   0
  -10   0   1   0
)


WP splitting


14P2/m
(
  19   0   0   0
   0   1   0   0
  -11   0   1   0
)


WP splitting


15P2/m
(
  19   0   0   0
   0   1   0   0
  -12   0   1   0
)


WP splitting


16P2/m
(
  19   0   0   0
   0   1   0   0
  -13   0   1   0
)


WP splitting


17P2/m
(
  19   0   0   0
   0   1   0   0
  -14   0   1   0
)


WP splitting


18P2/m
(
  19   0   0   0
   0   1   0   0
  -15   0   1   0
)


WP splitting


19P2/m
(
  19   0   0   0
   0   1   0   0
  -16   0   1   0
)


WP splitting


20P2/m
(
  19   0   0   0
   0   1   0   0
  -17   0   1   0
)


WP splitting


21P2/m
(
  19   0   0   0
   0   1   0   0
  -18   0   1   0
)


WP splitting








  

    
      
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