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A046058
Incrementally largest numbers of nonisomorphic finite groups of order n.
5
1, 2, 5, 14, 15, 51, 52, 267, 2328, 56092, 10494213, 49487367289
OFFSET
1,2
LINKS
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.
FORMULA
a(n) = A000001(A046059(n)). - M. F. Hasler, Feb 24 2015
CROSSREFS
KEYWORD
nonn,more,hard,nice
EXTENSIONS
a(11) and a(12) from Eamonn O'Brien, Apr 15 2002
a(12) corrected by David Burrell, Jun 06 2022
STATUS
approved