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A046059 Orders of finite groups having the incrementally largest numbers of nonisomorphic forms A046058. 3
1, 4, 8, 16, 24, 32, 48, 64, 128, 256, 512, 1024, 2048 (list; graph; refs; listen; history; text; internal format)
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

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