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Suppose that G is an Abelian group of order 16, and in computing the orders of its elements, you come across an element, you come

Suppose that G is an Abelian group of order 16, and in computing the orders of its elements, you come across an element, you come across an element of order 8 and two elements of order 2. Explain why no further computations are needed to determine the isomorphism class of G.

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