5. Find the cycle decomposition of the permutation [it E 3 1} a g] and determine whether the permutation is even or odd. {5) E. If [6: H] = 2, show that H is a normal subgroup of G. {5) 7*\". State the definition of a quotient group. {3) 3. Let G 2 E12 and let N be the cyclic subgroup generated by the congruence class of 3. Find the three elements of G/N' found by adding [1]12 and [2kg to each element of N. II?) END END END