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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

REFERENCES

H.-U. Besche and B. Eick, Construction of Finite Groups, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 387-404.

H.-U. Besche and B. 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.

Hans Ulrich Besche; Bettina Eick; E. A. O'Brien, The groups of order at most 2000, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 1-4.

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

LINKS

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

H.-U. Besche, The Small Groups library

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.

Eric Weisstein's World of Mathematics, Finite Group.

Index entries for sequences related to enumerating groups.

CROSSREFS

Cf. A046056, A046058.

Sequence in context: A270345 A181823 A308985 * A290498 A137932 A309141

Adjacent sequences:  A046056 A046057 A046058 * A046060 A046061 A046062

KEYWORD

nonn,more

AUTHOR

Eric W. Weisstein

EXTENSIONS

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

2048 added by Eric M. Schmidt, Aug 02 2012

STATUS

approved

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Last modified October 15 04:33 EDT 2019. Contains 328026 sequences. (Running on oeis4.)