

A001228


Orders of sporadic simple groups.


22



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)).  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", SpringerVerlag, p. 296.
Martin Gardner, "The Last Recreations", 1997, chap 9, p. 153.


LINKS

Table of n, a(n) for n=1..26.
David Madore, Table of sporadic simple groups.
Grant Sanderson, Group theory and 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000, 3Blue1Brown video (2020)
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. A001034, A005180.
Sequence in context: A031922 A121236 A233976 * A036325 A031587 A031767
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



