O'Nan Group - Maximal Subgroups

Maximal Subgroups

Wilson (1985) and Yoshiara (1985) independently found the 13 classes of maximal subgroups of the O'Nan group given as follows:

L₃(7):2 (2 classes, fused by an outer automorphism)

J₁ The subgroup fixed by an outer involution.

4₂.L₃(4):2₁

(32:4 × A₆).2

34:21+4.D₁₀

L₂(31) (2 classes, fused by an outer automorphism)

43.L₃(2)

M₁₁ (2 classes, fused by an outer automorphism)

A₇ (2 classes, fused by an outer automorphism)