The (one dimensional) matrices D(C 3 ) 1 and D(C 2 ) 1, and D(C 3 ) 1 and D(C 2 ) 1 both represent the group multiplication C 3 C 2 C 6 in the group C 6 v with D(C 6 ) 1 and 1, respectively Use the character table to confirm these remarks What are the representatives of v and d in each case

Question: The (one-dimensional) matrices D(C 3 ) = 1 and D(C 2 ) = 1, and D(C 3 ) = 1 and D(C 2 ) =

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 σ_v and σ_d in each case?

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