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Jun 9, 2021 at 9:40 comment added verret Also, $H$ should be transitive.
Jun 3, 2021 at 14:13 comment added Derek Holt But groups of prime degree are primitive, so $H_x$ is a maximal subgroup of $H$.
Jun 3, 2021 at 13:40 history answered Joseph Van Name CC BY-SA 4.0