A378274 - OEIS

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A378274

Number of subgroups of S_n isomorphic to S_5 up to conjugacy, where S_n is the n-th symmetric group.

%I #7 Nov 27 2024 17:56:33

%S 0,0,0,0,1,2,3,4,5,9,11,17,19,25,31,40,48,59

%N Number of subgroups of S_n isomorphic to S_5 up to conjugacy, where S_n is the n-th symmetric group.

%o (GAP) A378274 := function(n)

%o return Length(IsomorphicSubgroups(SymmetricGroup(n), SymmetricGroup(5)));

%o end;

%Y Column k=5 of A378177.

%Y Cf. A004526, A378266, A378273.

%K nonn,hard,more,new

%O 1,6

%A _Jianing Song_, Nov 21 2024