A066113 a(n) is the number of conjugacy classes of maximal subgroups of the alternating group A_n.

0, 1, 2, 3, 5, 5, 6, 8, 7, 7, 11, 9, 9, 11, 12, 10, 13, 10, 14, 14, 13, 13, 19, 15, 15, 18, 20, 15, 21, 20, 22, 20, 18, 21, 27, 19, 21, 21, 27, 21, 27, 22, 26, 29, 24, 24, 32, 27, 31, 27, 31, 27, 33, 30, 35, 34, 30, 30, 41, 31, 33, 40, 40, 41, 40, 34, 39, 36, 40

Offset: 2

Author

Reiner Martin, Dec 30 2001

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 2..250
• M. W. Liebeck, C. E. Praeger and J. Saxl, A classification of the maximal subgroups of the finite alternating and symmetric groups, J. Algebra 111(1987), no. 2, 365-383; Math. Rev. 89b:20008.

Crossrefs

Cf. A029726, A066115, A316435.

Programs

GAP

List([2..50],i->Length(MaximalSubgroupClassReps(AlternatingGroup(i))));

Extensions

More terms from Alexander Hulpke, Feb 19 2002

Terms a(51) and beyond from Andrew Howroyd, Jul 02 2018