For all Frobenius groups and a large class of finite multiply transitive permutation groups, we show that the corresponding group-subgroup subfactors are completely characterized by their principal graphs. The class includes all the sharply k -transitive permutation groups for k=2,3,4 , and in particular the Mathieu group M₁₁ of degree 11.
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M. Izumi (2024) studied this question.
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