G:=SymmetricGroup(5);;
H:=AlternatingGroup(5);;
RG:=ResolutionFiniteGroup(G,9);;
RH:=ResolutionSubgroup(RG,H);;
S:=SimplifiedComplex(RH);;
Print(List([0..8],RG!.dimension),"\n");;
Print(List([0..8],RH!.dimension),"\n");;
Print(List([0..8],S!.dimension),"\n");;
