Group-subgroup pair supergroups

This calculates all supergroups of a specific type and index. The group and supergroup can be specified by their space-group numbers, or you can start to type the space-group symbols (using _ before a subscript) and possible options to choose from will be shown.

Example

Supergroup number: 69 F m m m
Subgroup number: 42 F m m 2
Index: 6
See the result

Result

A list of all transformations that give different supergroups is shown.

Links are provided to the supergroup transformation, the supergroup Wyckoff-position splittings and the coset decomposition for each transformation.