gap> LoadPackage("Simpcomp");;

gap> inv3:=function(m)
> local K;
> K:=BarycentricSubdivision(m);
> K:=MaximalSimplicesOfSimplicialComplex(K);
> K:=SC(K);
> if not SCIsStronglyConnected(K) then Print("WARNING!\n"); fi;
> return SCExportIsoSig( K );
> end;
function( m ) ... end

gap> DD:=[];;
gap> for x in D do
> y:=Classify(x,inv3);
> Add(DD,List(y,z->z[1]));
> od;

gap> List(DD,Size);
[ 9, 1, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 7, 4, 4, 3, 1, 1, 1, 1, 3, 1, 1, 3 ]
