Answer to Question #18635 in Abstract Algebra for Irvin

Question #18635

Suppose the character table of a finite group G has the following
two rows:
g1 g2 g3 g4 g5 g6 g7
μ 1 1 1 ω2 ω ω2 ω
ν 2 −2 0 −1 −1 1 1
where ω = e^2πi/3. Determine the rest of the character table.

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