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Groups and FieldsMediumCosets and Lagrange's Theorem

Cosets and Lagrange's Theorem · Medium problem

In a group GG with ∣G∣=100|G|=100, suppose H≤K≤GH \le K \le G with ∣K∣=25|K|=25 and ∣H∣=5|H|=5. What is [G:H][G:H]?