Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On maximal subgroups of the Fischer group Fi22

Robert A. Wilsona1

a1 Department of Pure Mathematics and Mathematical Statistics, University of Cambridge

In this paper we classify the maximal subgroups of the smallest Fischer group Fi22, which is a simple group of order 64561 751 654 400 = 217. 39. 52. 7. 11. 13. Although this is not a complete classification into conjugacy classes, it is for most practical purposes almost as good, since the exceptional cases are very small groups.

(Received April 25 1984)