A046058 Incrementally largest numbers of nonisomorphic finite groups of order n.

1, 2, 5, 14, 15, 51, 52, 267, 2328, 56092, 10494213, 49487367289

Offset

1,2

Links

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

Formula

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

Crossrefs

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

Sequence in context: A151854 A146526 A120626 * A137271 A131356 A191119

Adjacent sequences: A046055 A046056 A046057 * A046059 A046060 A046061

Keyword

nonn,more,hard,nice

Author

Eric W. Weisstein

Extensions

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

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

Status

approved