I'm interested in representation groups of a finite group G.
Is there a function available in GAP which computes such groups?
If not, how can we compute them?
Moreover, if one representation group D of G is computed, is it possible
to obtain all the non isomorphic representation groups of G from the
knowledge of D?
For instance, if G and D are finitely generated groups, can we obtain
all the representation groups of G by modifying, in a certain manner,
the relations of D?
Thanks in advance,