Abstract
We discuss some important subgroups of M 24, including the maximal subgroups. An important early paper on this matter is that of John Todd [To], who gives character tables for many important subgroups and lists all 759 octads! (though a few errors appeared on that list). The thesis of Chang Choi [Ch] claimed a classification of maximal subgroups of M 24, but missed the (then unknown) transitive and imprimitive PSL (2,7)-subgroup. The later paper of Robert Curtis [Cu] shows that there are nine classes of maximal subgroups.
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© 1998 Springer-Verlag Berlin Heidelberg
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Griess, R.L. (1998). Subgroups of M 24 . In: Twelve Sporadic Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03516-0_6
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DOI: https://doi.org/10.1007/978-3-662-03516-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08305-1
Online ISBN: 978-3-662-03516-0
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