On subgroups of 𝑀₂₄. II. The maximal subgroups of 𝑀₂₄

Choi, Chang

doi:10.1090/S0002-9947-1972-0294473-2

On subgroups of $M_{24}$. II. The maximal subgroups of $M_{24}$
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Trans. Amer. Math. Soc. 167 (1972), 29-47 Request permission

Abstract:

In this paper we effect a systematic study of transitive subgroups of ${M_{24}}$, obtaining 5 transitive maximal subgroups of ${M_{24}}$ of which one is primitive and four imprimitive. These results, along with the results of the paper, On subgroups of ${M_{24}}$. I, enable us to enumerate all the maximal subgroups of ${M_{24}}$. There are, up to conjugacy, nine of them. The complete list includes one more in addition to those listed by J. A. Todd in his recent work on ${M_{24}}$. The two works were done independently employing completely different methods.

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Die

fach transitiven Gruppen von Mathieu

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