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A330586
The intersection of A330584 and A330585.
1
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 [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.
EXAMPLE
This list includes the orders of all non-cyclic simple groups of order less than 9828.
CROSSREFS
Sequence in context: A330583 A330585 A330584 * A119630 A216480 A257146
KEYWORD
nonn,fini,full
AUTHOR
Hal M. Switkay, Jan 02 2020
STATUS
approved