Hi,

I have to do some (simple?) computations like this with GAP:

GG:=Group((1,2,4,6)(3,5,7,8), (1,3)(2,5));
H:=DirectProduct(DihedralGroup(4),DihedralGroup(4));
IsomorphicSubgroups( GG, H );

The groups are quite small:

|GG|=32, |H|=16

but GAP seems very slow in doing computations like this.

Are there a more rapid way to obtain these results?

Thank you, Nicola.

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