GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Read("homologyOperations.gi"); N:=5; ##We can change this to other values of N>0. G:=DihedralGroup(32);; x:=(1,2);; a:=Group(x);; A:=TrivialGModuleAsGOuterGroup(G,a);; R:=ResolutionFiniteGroup(G,N+1);; C:=TensorWithGModule(R,A); H:=HomologyModule(C,N); H_alt:=GroupHomology(G,N,2); if Size(H)=Product(H_alt) then Print("TensorWithGModule() and HomologyModule() seem to work\n"); else Print("Something is not working properly\n"); fi;