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A001034 Orders of non-cyclic simple groups (without repetition).
(Formerly M5318 N2311)
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 (list; graph; refs; listen; history; text; internal format)



This comment is about the four sequences A001034, A060793, A056866, A056868: The Feit-Thompson theorem says that a finite group with odd order is solvable, hence all numbers in this sequence are even. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 08 2001

The primitive elements are A257146. These are also the primitive elements of A056866. - Charles R Greathouse IV, Jan 19 2017


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. 137-168 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).


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), 574-577.

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


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




N. J. A. Sloane, Simon Plouffe



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Last modified July 25 02:49 EDT 2017. Contains 289779 sequences.