I have a finite group $G$ and an elementary abelian group $E(p^h)$ where $p\not \mid |G|$. I just want to construct via GAP the semidirect product $E(p^h):G$ given by a character $\chi$ of $G$, not necessarly irreducible. How can I do that?
In the case of an Irreducible character I have found the IrreducibleRepresentationsDixon to be the perfect first step to construct it but I cannot proceed further, any ideas?
2026-03-20 19:02:28.1774033348
Constructing a semidirect product in GAP using characters
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