1. Show that % is not isomorphic to 2; by showing that the first group has an element of order 4 but the second group does not. (5) 2. If all is a left coset of H in G and a, & all, show that the left coset of H generated by a, is also all. (5) 3. Let G = 212 and let N be the cyclic subgroup generated by the congruence class of 3. Find the three elements of "/, found by adding [1]12 and [2]12 to each element of N. (6)