[GAP Forum] Character group and semi-direct product

[D N]

Hello All,
 
 Let G be a finite group and H be a finite left G-module.
 Let H^  := Hom(H, C*) denote the character group of H.
 Then, H^ is a right G-module: (\rho \dot g)(h) := \rho(g \dot h)
 for \rho \in H^, g \in G and h \in H.
 Let G' := H^ : G (semi-direct product of H^ and G).
 My question is: how to construct the group G' in GAP?
 
 Any help is greatly appreciated.
 
 Thanks,
 DN
 
 
		
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