[GAP Forum] Conjugacy Classes

[Stefan Kohl]

Alireza Ashrafi asked:

> Is there any command in GAP to obtain all groups with a given number of conjugacy classes?

No, i.e. only if the given number is one:

gap> AllGroups(1);
[ <pc group of size 1 with 0 generators> ]

Already the case of two conjugacy classes is pretty complicated --
see e.g. https://mathoverflow.net/questions/146799/ .

Hope this helps,

     Stefan

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