Find all homomorphisms between Z_2 x Z_2 ->S_3. S_3 isthe symmetric group on 3 symbols.
Every such homom. is uniquely and completely determined by the images of the generators of $\displaystyle \mathbb{Z}_2\times\mathbb{Z}_2$ ...and where to can an order 2 generator be mapped in $\displaystyle S_3$ ?