Question: 6. Let G = D, and consider the normal subgroup H = {(1), (1, 3) (2, 4) }. (a) Find all right cosets of H.(b)

6. Let G = D, and consider the normal subgroup H = {(1), (1, 3) (2, 4) }. (a) Find all right cosets of H.(b) List the (distinct) elements of G/ H. That is, using part (a), choose ele- ments a, b, c E Di, so that {H(1), Ha, Hb, He} represent the distinct cosets of H. (c) Complete the multiplication table for the quotient group G / H. H(1) H(1) (d) Is G / H cyclic or noncyclic

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