A109379 Orders of non-cyclic simple groups (with repetition).

60, 168, 360, 504, 660, 1092, 2448, 2520, 3420, 4080, 5616, 6048, 6072, 7800, 7920, 9828, 12180, 14880, 20160, 20160, 25308, 25920, 29120, 32736, 34440, 39732, 51888, 58800, 62400, 74412, 95040, 102660, 113460, 126000, 150348

Offset

1,1

Comments

The first repetition is at 20160 (= 8!/2) and the first proof that there exist two nonisomorphic simple groups of this order was given by the American mathematician Ida May Schottenfels (1869-1942). - David Callan, Nov 21 2006

By the Feit-Thompson theorem, all terms in this sequence are even. - Robin Jones, Dec 25 2023

References

See A001034 for references and other links.

Links

David A. Madore, Table of n, a(n) for n = 1..493 [taken from link below]

David A. Madore, More terms

John McKay, The non-abelian simple groups g, |g|<10^6 - character tables, Commun. Algebra 7 (1979) no. 13, 1407-1445.

Ida May Schottenfels, Two Non-Isomorphic Simple Groups of the Same Order 20,160, Annals of Math., 2nd Ser., Vol. 1, No. 1/4 (1899), pp. 147-152.

Wikipedia, Feit-Thompson theorem.

Index entries for sequences related to groups

Crossrefs

Cf. A000001, A000679, A005180, A001228, A060793, A056866, A056868, A119630.

Cf. A001034 (orders without repetition), A119648 (orders that are repeated).

Sequence in context: A256633 A329521 A118671 * A001034 A330583 A330585

Adjacent sequences: A109376 A109377 A109378 * A109380 A109381 A109382

Keyword

nonn,nice

Author

N. J. A. Sloane, Jul 29 2006

Status

approved