Chapter 4.2, Problem 7E

In Exercises 1- 9, let $G$ be the given group. Write out the elements of a group of permutations that is isomorphic to $G$, and exhibit an isomorphism from $G$ to this group.

Let $G$ be the multiplicative group of units $U_{14}=\left\{\left[1\right],\left[3\right],\left[5\right],\left[9\right],\left[11\right],\left[13\right]\right\}\subseteq Z_{14}.$