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Group-Subgroup Lattice and Chains of Maximal Subgroups

Lattice and chains ...

For a given group and supergroup the program SUBGROUPGRAPH will give the lattice of maximal subgroups that relates these two groups and, in the case that the index is specified, all of the possible chains of maximal subgroup that relate the two groups. In the latter case, also there is a possibility to obtain all of the different subgroups of the same type.

As an input data you should give (or select) the numbers of the group and the subgroup, and the index.

A tutorial on the application of several tools of this server including SUBGROUPGRAPH in the study of group-subgroup phase transitions can be found here.

How to obtain a valid index ?


[ More about the program. ]


If you are using this program in the preparation of a paper, please cite it in the following form:

Ivantchev et. al., J. Appl. Cryst. (2000), 33, 1190-1191

If you are interested in other publications related to Bilbao Crystallographic Server, click here.
Please, enter the sequential numbers of group and subgroup as given in International Tables for Crystallography, Vol. A:
Enter supergroup number (G) or choose it:
Enter subgroup number (H) or choose it:
Enter the index [G:H] (optional):

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