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Number of abelian subgroups of the group GL(2, Z(n)), counting conjugates as distinct.
2

%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