A046059 Orders of finite groups having the incrementally largest numbers of nonisomorphic forms A046058.

1, 4, 8, 16, 24, 32, 48, 64, 128, 256, 512, 1024, 2048

Offset

1,2

Links

Table of n, a(n) for n=1..13.

H. U. Besche, The Small Groups library

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

H. U. 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.

J. H. Conway, Heiko Dietrich and E. A. O'Brien, Counting groups: gnus, moas and other exotica, The Mathematical Intelligencer, March 2008, Volume 30, Issue 2, pp 6-15.

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. A046056, A046058.

Sequence in context: A335668 A181823 A308985 * A355392 A290498 A137932

Adjacent sequences: A046056 A046057 A046058 * A046060 A046061 A046062

Keyword

nonn,more,hard

Author

Eric W. Weisstein

Extensions

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

a(13) added by Eric M. Schmidt, Aug 02 2012

Status

approved