A378281 - OEIS

%I #11 Nov 27 2024 12:33:13

%S 0,0,0,0,1,12,84,560,3276,79632,1105104,16571808,176344740

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

%o (GAP) A378281 := function(n)

%o local S;

%o S := SymmetricGroup(n);

%o return Sum(IsomorphicSubgroups(S, SymmetricGroup(5)), x->Index(S, Normalizer(S, Image(x))));

%o end;

%Y Column k=5 of A378163.

%Y Cf. A000085, A378279, A378280.

%K nonn,hard,more

%O 1,6

%A _Jianing Song_, Nov 21 2024