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Prove that D6 is isomorphic to D3×Z2. (Hint: Find two subgroups,H and K, of D6 such...

Prove that D6 is isomorphic to D3×Z2.

(Hint: Find two subgroups,H and K, of D6 such that H∼=D3 and K∼=Z2. Then prove that D6 is the internal direct product of H and K.)

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