C:=AutomorphismGroupAsCatOneGroup(DihedralGroup(32));;
Print(StructureDescription(HomotopyGroup(C,1)),"\n");
Print(StructureDescription(HomotopyGroup(C,2)),"\n");
D:=QuasiIsomorph(C);;
G:=NerveOfCatOneGroup(D,5);;
R:=ChainComplexOfSimplicialGroup(G);;
Print(Homology(R,4),"\n");
