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

Author

Hal M. Switkay, Jan 02 2020

Keywords

• nonn
• fini
• full

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

Examples

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

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].
• 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

Crossrefs

Cf. A330584, A330585.