

A001034


Orders of noncyclic simple groups (without repetition).
(Formerly M5318 N2311)


18



60, 168, 360, 504, 660, 1092, 2448, 2520, 3420, 4080, 5616, 6048, 6072, 7800, 7920, 9828, 12180, 14880, 20160, 25308, 25920, 29120, 32736, 34440, 39732, 51888, 58800, 62400, 74412, 95040, 102660, 113460, 126000, 150348, 175560, 178920
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OFFSET

1,1


COMMENTS

This comment is about the four sequences A001034, A060793, A056866, A056868: The FeitThompson theorem says that a finite group with odd order is solvable, hence all numbers in this sequence are even.  Ahmed Fares (ahmedfares(AT)mydeja.com), May 08 2001
The primitive elements are A257146. These are also the primitive elements of A056866.  Charles R Greathouse IV, Jan 19 2017


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.
Dickson L.E. Linear groups, with an exposition of the Galois field theory (Teubner, 1901), p. 309.
M. Hall, Jr., A search for simple groups of order less than one million, pp. 137168 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

David A. Madore, Table of n, a(n) for n = 1..491 [taken from link below]
C. Cato, The orders of the known simple groups as far as one trillion, Math. Comp., 31 (1977), 574577.
L. E. Dickson, Linear Groups with an Exposition of the Galois Field Theory (page images), Dover, NY, 1958, p. 309.
Walter Feit, J. G. Thompson, A solvability criterion for finite groups and some consequences, Proc. N. A. S. 48 (6) (1962) 968
David A. Madore, More terms
Index entries for sequences related to groups
Index entries for "core" sequences


CROSSREFS

Cf. A000001, A000679, A005180, A001228, A060793, A056866, A056868, A119630.
Cf. A109379 (orders with repetition), A119648 (orders that are repeated).
Sequence in context: A256633 A118671 A109379 * A119630 A216480 A257146
Adjacent sequences: A001031 A001032 A001033 * A001035 A001036 A001037


KEYWORD

nonn,nice,core


AUTHOR

N. J. A. Sloane, Simon Plouffe


STATUS

approved



