Question: can you work with me on this problem 1. For each of the following groups G, determine whether I is a normal subgroup of G.

can you work with me on this problem

1. For each of the following groups G, determine whether I is a normal subgroup of G. If H is a normal subgroup, write out a Cayley table for the factor group G/H. a. G = S, and H = A4 b. G = As and H = {(1), (123), (132)} c. G = S, and H = D4 d. G = Q: and H = {1, -1, I, -1} e. G = Z and H = 57

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