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A001228 Orders of sporadic simple groups. 23
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Numbers of divisors: A174601(n) = A000005(a(n)); squarefree kernels: A174848(n) = A007947(a(n)). - Reinhard Zumkeller, Apr 02 2010
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
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", Springer-Verlag, p. 296.
Martin Gardner, "The Last Recreations", 1997, chap 9, p. 153.
LINKS
Eric Weisstein's World of Mathematics, Sporadic Group
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
Sequence in context: A031922 A121236 A233976 * A036325 A031587 A031767
KEYWORD
nonn,fini,nice,full
AUTHOR
EXTENSIONS
Entries checked by Pab Ter (pabrlos(AT)yahoo.com), May 29 2004
STATUS
approved

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Last modified March 19 02:51 EDT 2024. Contains 370952 sequences. (Running on oeis4.)