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%I #24 Aug 19 2020 13:05:19
%S 7920,95040,175560,443520,604800,10200960,44352000,50232960,244823040,
%T 898128000,4030387200,145926144000,448345497600,460815505920,
%U 495766656000,42305421312000,64561751654400,273030912000000,51765179004000000,90745943887872000,4089470473293004800,4157776806543360000,86775571046077562880,1255205709190661721292800,4154781481226426191177580544000000,808017424794512875886459904961710757005754368000000000
%N Orders of sporadic simple groups.
%C Numbers of divisors: A174601(n) = A000005(a(n)); squarefree kernels: A174848(n) = A007947(a(n)). - _Reinhard Zumkeller_, Apr 02 2010
%C By historical convention, the Tits group is often excluded from the list of sporadic simple groups. It could be inserted as a(7) = 17971200 giving this sequence 27 rather than 26 elements. - _Charles R Greathouse IV_, Jul 09 2020
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 296.
%D Martin Gardner, "The Last Recreations", 1997, chap 9, p. 153.
%H David Madore, <a href="http://www.eleves.ens.fr:8080/home/madore/math/simplegroups.html#table4">Table of sporadic simple groups</a>.
%H Grant Sanderson, <a href="https://www.youtube.com/watch?v=mH0oCDa74tE">Group theory and 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000</a>, 3Blue1Brown video (2020)
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SporadicGroup.html">Sporadic Group</a>
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%e The first term is 7920 because the order of the sporadic group M_{11} is 7920, the smallest order of any sporadic group.
%Y Cf. A001034, A005180.
%K nonn,fini,nice,full
%O 1,1
%A _N. J. A. Sloane_
%E Entries checked by Pab Ter (pabrlos(AT)yahoo.com), May 29 2004
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