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

2,3

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.

Prog

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

Crossrefs

Cf. A029726, A066115, A316435.

Sequence in context: A069208 A346616 A333645 * A363156 A214881 A364085

Adjacent sequences: A066110 A066111 A066112 * A066114 A066115 A066116

Keyword

nonn

Author

Reiner Martin, Dec 30 2001

Extensions

More terms from Alexander Hulpke, Feb 19 2002

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

Status

approved