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Is a subgroup of a finite group uniquely determined, up to conjugation, by the setsubset of conjugacy classes of the larger group that it intersects?
Is a subgroup of a finite group uniquely determined, up to conjugation, by the set of conjugacy classes of the larger group that it intersects?
Is a subgroup of a finite group uniquely determined, up to conjugation, by the subset of conjugacy classes of the larger group that it intersects?