The set G = {e, a, b, c, d, f, g, h } of permutations in Sg, where e is the identity permutation and a = (1 257)(38 46), b= (15)(27)(34)(86), c = (1 7 5 2) (3 6 48), d= (1 3)(2 8)(45)(6 7), f = (1 8 5 6)(2 473), 9 = (1 4)(26)(35)(78), h = (16 5 8)(2 3 7 4), ve real number is a subgroup of S8. (a) By determining the isomorphism class to which G belongs, show that G is abelian. (b) Show that N = {e, d} is a subgroup of G, and explain why you know that it is a normal subgroup. (c) Find the cosets of N in G. (d) Write down the group table of the quotient group G/N