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6 Nov 2019

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For each of the following group G, determine Whether H is a normal subgroup of G. If H is a normal subgroup, write out a Cayley table for the factor group G/H. G = S4 and H = A4 G = A5 and H = {(1), (123), (132)} G = S4 and H = D4 G = Q8 and H = {1, -1, I, -I} G = Z and H = 5Z
Show transcribed image text For each of the following group G, determine Whether H is a normal subgroup of G. If H is a normal subgroup, write out a Cayley table for the factor group G/H. G = S4 and H = A4 G = A5 and H = {(1), (123), (132)} G = S4 and H = D4 G = Q8 and H = {1, -1, I, -I} G = Z and H = 5Z

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