A066115 Number of conjugacy classes of maximal subgroups of the symmetric group S_n.

0, 1, 2, 3, 4, 6, 5, 7, 7, 8, 7, 11, 8, 10, 10, 11, 10, 14, 11, 15, 16, 14, 13, 19, 16, 16, 17, 19, 16, 22, 17, 21, 19, 19, 20, 27, 20, 22, 22, 28, 22, 28, 23, 27, 28, 25, 25, 33, 28, 30, 28, 30, 28, 34, 31, 36, 31, 31, 31, 42, 32, 34, 37, 37, 36, 39, 35, 40

Offset: 1

Author

Reiner Martin, Dec 30 2001

Keywords

• nonn

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..1000
• 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.

Programs

GAP

# GAP 4.2
Length( ConjugacyClassesMaximalSubgroups( SymmetricGroup( n ) ) );

GAP

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

Extensions

More terms from Alexander Hulpke, Feb 19 2002

More terms from Eric M. Schmidt, Jul 21 2017