cp's OEIS Frontend

A330585 The orders, with repetition, of the non-cyclic finite simple groups that are subquotients of the sporadic finite simple groups.

%I A330585 #30 Jun 14 2024 22:31:10
%S A330585 60,168,360,504,660,1092,2448,2520,3420,4080,5616,6048,6072,7800,7920,
%T A330585 12180,14880,20160,20160,25920,29120,32736,58800,62400,95040,102660,
%U A330585 126000,175560,178920,181440,265680,372000,443520,604800
%N A330585 The orders, with repetition, of the non-cyclic finite simple groups that are subquotients of the sporadic finite simple groups.
%C A330585 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.
%C A330585 Subsequence of A083207. - _Ivan N. Ianakiev_, Jan 02 2020
%D A330585 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].
%H A330585 Hal M. Switkay, <a href="/A330585/b330585.txt">Table of n, a(n) for n = 1..82</a>
%H A330585 Ivan N. Ianakiev, <a href="/A330585/a330585.txt">Subsequence of A083207, Proof</a>
%H A330585 David A. Madore, <a href="http://www.madore.org/~david/math/simplegroups.html">Orders of non-abelian simple groups</a>
%H A330585 R. A. Wilson et al., <a href="http://brauer.maths.qmul.ac.uk/Atlas/v3/">ATLAS of Finite Group Representations - Version 3</a>
%e A330585 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.
%Y A330585 Cf. A109379, A001228, A083207.
%K A330585 nonn,fini,full
%O A330585 1,1
%A A330585 _Hal M. Switkay_, Dec 18 2019