%I #5 Jul 06 2018 23:13:29
%S 1,5,34,147,251,309,890,10683,2440,2487,3088
%N Number of abelian subgroups of the group GL(2, Z(n)), counting conjugates as distinct.
%o (GAP) Concatenation([1], List([2..7], n->Sum( Filtered( ConjugacyClassesSubgroups( GL(2, Integers mod n)), x->IsAbelian( Representative(x))), Size)));
%Y Cf. A316536, A316560.
%K nonn,more
%O 1,2
%A _Andrew Howroyd_, Jul 06 2018