A378274 Number of subgroups of S_n isomorphic to S_5 up to conjugacy, where S_n is the n-th symmetric group.

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

Offset

1,6

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) A378274 := function(n)
return Length(IsomorphicSubgroups(SymmetricGroup(n), SymmetricGroup(5)));
end;

Crossrefs

Column k=5 of A378177.

Cf. A004526, A378266, A378273.

Sequence in context: A139441 A333612 A362025 * A093305 A065817 A361227

Adjacent sequences: A378271 A378272 A378273 * A378275 A378276 A378277

Keyword

nonn,hard,more,changed

Author

Jianing Song, Nov 21 2024

Status

approved