gap> G:=GL(4,2);;
gap> S:=SylowSubgroup(G,2);;
gap> M:=GModuleByMats(GeneratorsOfGroup(S),GF(2));;
gap> DM:=DesuspensionMtxModule(M);;
gap> R:=ResolutionFpGModule(DM,20);
Resolution of length 20 in characteristic 2 for &lt;matrix group of 
size 64 with 3 generators&gt; .

gap> List([0..20],R!.dimension);
[ 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 
153, 171, 190, 210, 231, 253 ]
