%I #14 Oct 30 2022 18:19:59

%S 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,

%T 15,21,20,22,20,18,21,27,19,21,21,27,21,27,22,26,29,24,24,32,27,31,27,

%U 31,27,33,30,35,34,30,30,41,31,33,40,40,41,40,34,39,36,40

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

%H Andrew Howroyd, <a href="/A066113/b066113.txt">Table of n, a(n) for n = 2..250</a>

%H M. W. Liebeck, C. E. Praeger and J. Saxl, <a href="https://doi.org/10.1016/0021-8693(87)90223-7">A classification of the maximal subgroups of the finite alternating and symmetric groups</a>, J. Algebra 111(1987), no. 2, 365-383; Math. Rev. 89b:20008.

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

%Y Cf. A029726, A066115, A316435.

%K nonn

%O 2,3

%A _Reiner Martin_, Dec 30 2001

%E More terms from _Alexander Hulpke_, Feb 19 2002

%E Terms a(51) and beyond from _Andrew Howroyd_, Jul 02 2018