A258704 Orders of groups in the Thompson chain of subgroups of the Conway simple group Co_1.

1088640, 483840, 846720, 4354560, 72576000, 6038323200, 2690072985600, 4157776806543360000

Offset

1,1

Comments

Note that this is not monotonic.

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites]. See page 183.

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.

Links

Table of n, a(n) for n=1..8.

Example

The groups are A_9 X S_3, A_8 X S_4, (A_7 X L_2(7)):2, (A_6 X U_3(3)):2, (A_5 X HJ):2, (A_4 X G_2(4)):2, 3·Suz:2.

Crossrefs

Cf. A258705.

Sequence in context: A253467 A340132 A340405 * A224592 A252119 A109148

Adjacent sequences: A258701 A258702 A258703 * A258705 A258706 A258707

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Jun 09 2015

Status

approved