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A066115
Number of conjugacy classes of maximal subgroups of the symmetric group S_n.
3
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
1,3
LINKS
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)
# GAP 4.2
Length( ConjugacyClassesMaximalSubgroups( SymmetricGroup( n ) ) );
(GAP) List([2..50], i->Length(MaximalSubgroupClassReps(SymmetricGroup(i))));
CROSSREFS
Sequence in context: A100700 A361478 A332781 * A227788 A222245 A275582
KEYWORD
nonn
AUTHOR
Reiner Martin, Dec 30 2001
EXTENSIONS
More terms from Alexander Hulpke, Feb 19 2002
More terms from Eric M. Schmidt, Jul 21 2017
STATUS
approved