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

Author

Eric W. Weisstein

Keywords

• nonn
• more
• hard
• nice

Links

• 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

Crossrefs

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

Formula

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

Extensions

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

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