c) We can see S, as a subgroup of S, as the permutations fe, (1, 2), (1, 3), (2,3), (1, 2, 3), (1, 3,2)} that do not change the label 4. Prove that the composition S, - S, - S,/N is an isomorphism, where the first morphism is the inclusion, and the second is the natural surjective morphism that every factor group is equipped with. For example (1, 2,3) e S, is sent to the left coast (1, 2, 3)N = {(1, 2,3), (1, 3, 4). (2, 4, 3), (1, 4,2) ]