A029726 Number of conjugacy classes of subgroups of the alternating group A_n.
1, 1, 1, 2, 5, 9, 22, 40, 137, 223, 430, 788, 2537, 4558, 12136, 24871, 95526, 182234
Offset: 0
Links
- L. Naughton and G. Pfeiffer, Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group, arXiv preprint arXiv:1211.1911, 2012 and J. Int. Seq. 16 (2013) #13.5.8
- Götz Pfeiffer, Numbers of subgroups of various families of groups
- N. J. A. Sloane, Transforms
Programs
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GAP
# GAP 4.2 Length(ConjugacyClassesSubgroups(AlternatingGroup(n)));
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Magma
n := 5; #SubgroupLattice(Alt(n));
Extensions
More terms from Reiner Martin, Dec 30 2001
a(10)-a(13) added by Christian G. Bower, Feb 23 2006 based on Goetz Pfeiffer's web page.
a(14)-a(17) from Vaclav Kotesovec, Jul 21 2022
Comments