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A109379
Orders of non-cyclic simple groups (with repetition).
7
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.
CROSSREFS
Cf. A001034 (orders without repetition), A119648 (orders that are repeated).
Sequence in context: A256633 A329521 A118671 * A001034 A330583 A330585
KEYWORD
nonn,nice
AUTHOR
N. J. A. Sloane, Jul 29 2006
STATUS
approved