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A109379
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Orders of non-cyclic simple groups (with repetition).
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4
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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; internal format)
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OFFSET
| 1,1
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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 (callan(AT)stat.wisc.edu), Nov 21 2006
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REFERENCES
| See A001034 for references and other links.
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.
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LINKS
| David A. Madore, Table of n, a(n) for n = 1..491 [taken from link below]
David A. Madore, More terms
Index entries for sequences related to groups
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CROSSREFS
| Cf. A000001, A000679, A005180, A001228, A060793, A056866, A056868, A119630.
Cf. A001034 (orders without repetition), A119648 (orders that are repeated).
Sequence in context: A044392 A044773 A118671 * A001034 A119630 A112827
Adjacent sequences: A109376 A109377 A109378 * A109380 A109381 A109382
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 29 2006
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