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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups by Colva M. Roney-Dougal, Derek F. Holt, John N. Bray

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7Maximal subgroups of exceptional groups

7.1 Introduction

Aschbacher’s theorem does not apply to certain extensions of S4(2i) and image; that is, those that involve the exceptional graph automorphism and the triality graph automorphism, respectively. Since the image case is fully handled in [62], we need not concern ourselves with that. Although Aschbacher’s paper [1] does include some results about the extensions of the maximal subgroups of S4(2i) in question, we prefer to determine these independently, and we do that in this chapter. We also describe the ...

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