A330586 The intersection of A330584 and A330585.

60, 168, 360, 504, 660, 1092, 2448, 2520, 3420, 4080, 5616, 6048, 6072, 7800, 7920, 20160, 20160, 25920, 62400, 95040, 126000, 181440, 443520, 604800, 979200, 1451520, 1814400, 3265920, 4245696, 10200960, 13685760, 19958400

Offset

1,1

Comments

This sequence is a proper subsequence of A330584 and A330585. It includes the orders of the 35 non-cyclic simple subquotients of Co1, as well as the orders of 8 other simple groups: L2(17), L2(19), L2(16), S4(4), Alt(10), G2(3), Alt(11), and Alt(12).

Subsequence of Zumkeller numbers (A083207). Found by exhaustive check. - Ivan N. Ianakiev, Feb 02 2020

References

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.

J. H. Conway, N. J. A. Sloane, Sphere Packings, Lattices, and Groups. Springer, 3rd ed., 1999.

Links

Hal M. Switkay, Table of n, a(n) for n = 1..43

David A. Madore, Orders of non-abelian simple groups

R. A. Wilson et al., ATLAS of Finite Group Representations - Version 3

Example

This list includes the orders of all non-cyclic simple groups of order less than 9828.

Crossrefs

Cf. A330584, A330585.

Sequence in context: A330583 A330585 A330584 * A119630 A216480 A257146

Adjacent sequences: A330583 A330584 A330585 * A330587 A330588 A330589

Keyword

nonn,fini,full

Author

Hal M. Switkay, Jan 02 2020

Status

approved