

A001228


Orders of sporadic simple groups.


16



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

1,1


COMMENTS

Numbers of divisors: A174601(n) = A000005(a(n)); squarefree kernels: A174848(n) = A007947(a(n)). [From Reinhard Zumkeller, Apr 02 2010]


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.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag, p. 296.
Martin Gardner, "The Last Recreations", 1997, chap 9, pg 153.


LINKS

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


EXAMPLE

The first term is 7920 because the order of the sporadic group M_{11} is 7920, the smallest order of any sporadic group.


CROSSREFS

Cf. A005180, A001034.
Sequence in context: A031922 A121236 A233976 * A036325 A031677 A031587
Adjacent sequences: A001225 A001226 A001227 * A001229 A001230 A001231


KEYWORD

nonn,fini,nice,full


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Entries checked by Pab Ter (pabrlos(AT)yahoo.com), May 29 2004


STATUS

approved



