
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.
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]


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.
