Find a counterexample of Exercise 47 with the hypothesis that G is abelian omitted. Data from Exercise

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Find a counterexample of Exercise 47 with the hypothesis that G is abelian omitted. 

Data from Exercise 47

Let G be an abelian group. Let H be the subset of G consisting of the identity e together with all elements of G of order 2. Show that H is a subgroup of G.

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