|
%I #19 Jun 09 2015 21:06:02
%S 1088640,483840,846720,4354560,72576000,6038323200,2690072985600,
%T 4157776806543360000
%N Orders of groups in the Thompson chain of subgroups of the Conway simple group Co_1.
%C Note that this is not monotonic.
%D J. H. Conway. A group of order 8,315,553,613,086,70,000. Bull. London Math. Soc., 1 pp. 79-88 (1969).
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985. See page 183.
%D R. T. Curtis, Symmetric generation of groups, with application to many of the sporadic finite simple groups. Cambridge University Press (2007).
%D R. T. Curtis, The Thompson chain of subgroups of the Conway group Co_1 and complete graphs on n vertices, preprint, 2015.
%e 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.
%Y Cf. A258705.
%K nonn,fini,full
%O 1,1
%A _N. J. A. Sloane_, Jun 09 2015
|
