A258705 Orders of groups in chain of subgroups of Conway's group Co_0 arising from complete graphs.

24, 336, 12096, 1209600, 503193600, 2690072985600, 8315553613086720000

Offset

1,1

References

J. H. Conway. A group of order 8,315,553,613,086,70,000. Bull. London Math. Soc., 1 pp. 79-88 (1969).

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.

R. T. Curtis, Symmetric generation of groups, with application to many of the sporadic finite simple groups. Cambridge University Press (2007).

R. T. Curtis, The Thompson chain of subgroups of the Conway group Co_1 and complete graphs on n vertices, preprint, 2015. [The source for this sequence]

Links

Table of n, a(n) for n=1..7.

Example

Terms 3 through 7 refer to the groups U_3(3):2, HJ:2, G_2(4):2, 3·Suz:2, 2×Co_1.
The first two terms, 24 (S_4 from K_1) and 336 (L(2,7):2 from K_2) are somewhat special but are included for completeness.

Crossrefs

Cf. A258704.

Sequence in context: A267838 A045543 A125459 * A264454 A077527 A083766

Adjacent sequences: A258702 A258703 A258704 * A258706 A258707 A258708

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Jun 09 2015

Status

approved