File: 4.3.2

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G:=SmallGroup(32,20);;
R:=ResolutionFiniteGroup(G,4);;
aut:=AutomorphismGroup(G);;
gens:=MinimalGeneratingSet(aut);;
A:=CyclicGroup(32);;
A:=TrivialGModuleAsGOuterGroup(G,A);;
C:=HomToGModule(R,A);;
H:=CohomologyModule(C,aut,3);;
act:=function(h,a); return H!.OuterAction(a^-1,h); end;;
Print(Orbits(aut,H!.ActedGroup,act),"\n");