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A046058 Incrementally largest numbers of nonisomorphic finite groups of order n. +0
5
1, 2, 5, 14, 15, 51, 52, 267, 2328, 56092, 10494213, 49487365422 (list; graph; listen)
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

H.-U. Besche, The Small Groups library

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to groups

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.

CROSSREFS

Cf. A000001, A000679, 000688, A046057, A046059.

Sequence in context: A128772 A016737 A120626 this_sequence A137271 A131356 A089410

Adjacent sequences: A046055 A046056 A046057 this_sequence A046059 A046060 A046061

KEYWORD

nonn,hard,nice

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

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

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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