Chapter 4.2, Problem 8E

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 quaternion group $\left\{\pm 1,\pm i,\pm j,\pm k\right\}$