A378280 Number of subgroups of S_n isomorphic to S_4, where S_n is the n-th symmetric group.

0, 0, 0, 1, 5, 60, 560, 5740, 58716, 734160, 8337120, 133212420, 1769490580

Offset

1,5

Links

Table of n, a(n) for n=1..13.

Prog

(GAP) A378280 := function(n)
local S;
S := SymmetricGroup(n);
return Sum(IsomorphicSubgroups(S, SymmetricGroup(4)), x->Index(S, Normalizer(S, Image(x))));
end; # See A378163

Crossrefs

Column k=4 of A378163.

Cf. A000085, A378279, A378281.

Sequence in context: A059602 A290747 A212700 * A099672 A320361 A138134

Adjacent sequences: A378277 A378278 A378279 * A378281 A378282 A378283

Keyword

nonn,hard,more

Author

Jianing Song, Nov 21 2024

Status

approved