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A001228
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Orders of sporadic simple groups.
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16
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7920, 95040, 175560, 443520, 604800, 10200960, 44352000, 50232960, 244823040, 898128000, 4030387200, 145926144000, 448345497600, 460815505920, 495766656000, 42305421312000, 64561751654400, 273030912000000, 51765179004000000, 90745943887872000, 4089470473293004800, 4157776806543360000, 86775571046077562880, 1255205709190661721292800, 4154781481226426191177580544000000, 808017424794512875886459904961710757005754368000000000
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OFFSET
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1,1
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COMMENTS
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Numbers of divisors: A174601(n) = A000005(a(n)); squarefree kernels: A174848(n) = A007947(a(n)). [From Reinhard Zumkeller, Apr 02 2010]
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REFERENCES
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J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 296.
Martin Gardner, "The Last Recreations", 1997, chap 9, pg 153.
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LINKS
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Table of n, a(n) for n=1..26.
David Madore, Table of sporadic simple groups.
Eric Weisstein's World of Mathematics, Sporadic Group
Index entries for sequences related to groups
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EXAMPLE
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The first term is 7920 because the order of the sporadic group M_{11} is 7920, the smallest order of any sporadic group.
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CROSSREFS
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Cf. A005180, A001034.
Sequence in context: A155178 A031922 A121236 * A036325 A031677 A031587
Adjacent sequences: A001225 A001226 A001227 * A001229 A001230 A001231
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KEYWORD
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nonn,fini,nice,full
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Entries checked by Pab Ter (pabrlos(AT)yahoo.com), May 29 2004
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STATUS
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approved
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