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A046058 Incrementally largest numbers of nonisomorphic finite groups of order n. 5
1, 2, 5, 14, 15, 51, 52, 267, 2328, 56092, 10494213, 49487367289 (list; graph; refs; listen; history; text; internal format)



Table of n, a(n) for n=1..12.

H. U. Besche, The Small Groups library

Hans Ulrich Besche and Bettina Eick, Construction of finite groups, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 387-404.

Hans Ulrich Besche and Bettina Eick, The groups of order at most 1000 except 512 and 768, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 405-413.

H. U. Besche, B. Eick and E. A. O'Brien, The groups of order at most 2000, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 1-4.

David Burrell, On the number of groups of order 1024, Communications in Algebra, 2021, 1-3.

Bettina Eick and E. A. O'Brien, Enumerating p-groups. Group theory. J. Austral. Math. Soc. Ser. A 67 (1999), no. 2, 191-205.

Eric Weisstein's World of Mathematics, Finite Group.

Index entries for sequences related to groups


a(n) = A000001(A046059(n)). - M. F. Hasler, Feb 24 2015


Cf. A000001, A000679, A000688, A046057, A046059.

Sequence in context: A151854 A146526 A120626 * A137271 A131356 A191119

Adjacent sequences: A046055 A046056 A046057 * A046059 A046060 A046061




Eric W. Weisstein


a(11) and a(12) from Eamonn O'Brien, Apr 15 2002

a(12) corrected by David Burrell, Jun 06 2022



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Last modified December 1 01:13 EST 2022. Contains 358453 sequences. (Running on oeis4.)