(6) Suppose that G = ( a) and |G| = 140. (a) What element in G is a2022? (b) What is the inverse of a3? (c) Which elements in G have order 10? (d) Is a21 a generator of G? Why or why not? (e) Let H < G. If |H| = 7, then which cyclic subgroup is H? Describe H also by listing its elements.

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