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Groups and FieldsMediumCosets and Lagrange's Theorem

Cosets and Lagrange's Theorem · Medium problem

A group GG has order 7272. It has subgroups H≤K≤GH \le K \le G with [G:K]=4[G:K]=4 and [K:H]=3[K:H]=3. What is ∣H∣|H|?