Dear Robert, dear Forum,

you can compute the automorphism group Aut(G) of G.
Then just compose each element of Aut(G) with the isomorphism.

HTH,
Dmitrii

2008/7/8 Robert Heffernan <[EMAIL PROTECTED]>:
> Hi,
>
> The function IsomorphismGroups(G,H) (and others like it) will return a
> "random" isomorphism between the groups G and H (if one exists) but is
> there a way to find all such isomorphisms?
>
> Pushing findall:=true onto the options stack doesn't seem the change
> the behaviour of IsomorphismGroups.
>
> Thank you.
>
>
> Bob
>
> --
> Robert Heffernan
> Mathematics Postgraduate, UCC, Cork, Ireland.
>
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