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Number of subgroups of S_n isomorphic to S_4 up to conjugacy, where S_n is the n-th symmetric group.
4

%I #7 Nov 27 2024 17:56:38

%S 0,0,0,1,1,4,5,10,13,22,27,47,56,84,104,147,175,250

%N Number of subgroups of S_n isomorphic to S_4 up to conjugacy, where S_n is the n-th symmetric group.

%o (GAP) A378273 := function(n)

%o return Length(IsomorphicSubgroups(SymmetricGroup(n), SymmetricGroup(4)));

%o end;

%Y Column k=4 of A378177.

%Y Cf. A004526, A378266, A378274.

%K nonn,hard,more

%O 1,6

%A _Jianing Song_, Nov 21 2024