OFFSET
1,1
COMMENTS
By the classification theorem for finite simple groups, there are exactly 26 sporadic finite simple groups, whose orders form A001228. The online ATLAS includes lists of the maximal subgroups of these groups, and entries for their simple subquotients.
Subsequence of A083207. - Ivan N. Ianakiev, Jan 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].
LINKS
Hal M. Switkay, Table of n, a(n) for n = 1..82
Ivan N. Ianakiev, Subsequence of A083207, Proof
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. L2(27), of order 9828, does not appear as a subquotient of any of the sporadic finite simple groups.
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Hal M. Switkay, Dec 18 2019
STATUS
approved