A316536 Number of abelian subgroups of the group SL(2, Z(n)), counting conjugates as distinct.

1, 5, 13, 42, 49, 105, 116, 498, 254, 381, 378, 1402, 550, 929, 1383, 3110, 1041, 2530, 1486, 5386, 3512, 2952, 2120, 24770

Offset: 1

Author

Andrew Howroyd, Jul 06 2018

Keywords

• nonn
• more

Crossrefs

Cf. A316537, A316559.

Programs

GAP

Concatenation([1], List([2..10], n->Sum( Filtered( ConjugacyClassesSubgroups( SL(2, Integers mod n)), x->IsAbelian( Representative(x))), Size)));