Let K and H be subgroups of a finite group G with KCHCG.lf [G:K] = 12 and [H:K] = 3. Then, [G:H] = Оз О 12 4 O None of the choices O 48

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Q: 19. Let H and K be subgroups of a group G. Prove that gH ngK is a coset of HOK in G.

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Q: 9.18 Suppose Hand K are subgroups of a group G and x, y € G. Prove that if Hx = Ky then H=K.

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