gap> R:=ResolutionBianchiGroup(6,4);
Resolution of length 4 in characteristic 0 for PSL(2,O-6) . 
No contracting homotopy available. 

gap> G:=R!.group;;
gap> M:=HomogeneousPolynomials(G,24);;
gap> C:=HomToIntegralModule(R,M);;
gap> Cohomology(C,1);
[ 2, 2, 2, 2, 12, 24, 9240, 55440, 0, 0, 0, 0 ]

