A001228 Orders of sporadic simple groups.

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

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].

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

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,changed

Author

N. J. A. Sloane

Extensions

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

Status

approved