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%I #15 Apr 07 2020 22:12:58
%S 1,1,1,7,6,280,120,25335,11200,276696,362880,374838255,39916800,
%T 2414617920,11721790080
%N Number of subgroups of order n of the symmetric group Sym(n) on n symbols.
%C The diagonal of A243748 (once the 0's for non-divisors of n are filled in). - _R. J. Mathar_, Mar 30 2017
%F If n is prime, A284210(n) = (n-2)!.
%e The group Sym(4) contains 3 cyclic groups of order 4, 3 non-normal elementary abelian groups of order 4 and one normal group of order 4, so A284210(4) = 3 + 3 + 1 = 7.
%o (GAP) List([1..14], n -> Sum(List(Filtered(ConjugacyClassesSubgroups(SymmetricGroup(n)), c -> Size(Representative(c)) = n)), c -> Size(c)));
%K nonn,more
%O 1,4
%A _Jens Voß_, Mar 23 2017
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