File: 3.7.4

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G:=SylowSubgroup(MathieuGroup(12),2);;
R:=ResolutionPrimePowerGroup(G,10);;
A:=ModPCohomologyRing(R);
S:=[];;
for n in [0..10] do
 B:=Filtered(Basis(A),x->A!.degree(x)=n);
 B:=Subalgebra(A,B);
 Add(S,B);
od;
Print(List(S,Dimension),"\n");