
REFERENCES

J. H. Conway. A group of order 8,315,553,613,086,70,000. Bull. London Math. Soc., 1 pp. 7988 (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. 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.


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.
