A378266 Number of subgroups of S_n isomorphic to S_3 up to conjugacy, where S_n is the n-th symmetric group.

0, 0, 1, 1, 2, 4, 5, 7, 10, 12, 15, 20, 23, 28, 34, 39, 45, 54

Offset

1,5

Links

Table of n, a(n) for n=1..18.

James East, Attila Egri-Nagy, Andrew R. Francis, and James D. Mitchell, Computing Embeddings and Isomorphisms of Finite Semigroups, International Journal of Networking and Computing, Volume 16, Number 2 (2026), pages 147-165. See p. 162.

Prog

(GAP) A378266 := function(n)
return Length(IsomorphicSubgroups(SymmetricGroup(n), SymmetricGroup(3)));
end;

Crossrefs

Column k=3 of A378177.

Cf. A004526, A378273, A378274.

Sequence in context: A361070 A058212 A007997 * A123120 A194462 A163267

Adjacent sequences: A378263 A378264 A378265 * A378267 A378268 A378269

Keyword

nonn,hard,more,changed

Author

Jianing Song, Nov 21 2024

Status

approved