The (one-dimensional) matrices D(C 3 ) = 1 and D(C 2 ) = 1, and D(C 3
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The (one-dimensional) matrices D(C3) = 1 and D(C2) = 1, and D(C3) = 1 and D(C2) = −1 both represent the group multiplication C3C2 = C6 in the group C6v with D(C6) = +1 and −1, respectively. Use the character table to confirm these remarks. What are the representatives of σv and σd in each case?
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