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A109379 Orders of non-cyclic simple groups (with repetition). 4
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 (list; graph; refs; listen; history; text; internal format)
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

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.

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: A044773 A256633 A118671 * A001034 A119630 A216480

Adjacent sequences:  A109376 A109377 A109378 * A109380 A109381 A109382

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, Jul 29 2006

STATUS

approved

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Last modified September 25 01:17 EDT 2018. Contains 315360 sequences. (Running on oeis4.)