Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \(x^{2} - x + 1\)  Toggle raw display

$\times$ \(\chi_{ 3 } ( 1, ·)\) \(\chi_{ 3 } ( 2, ·)\)
\(\chi_{ 3 }(1, ·)\) \(\chi_{ 3 } ( 1, ·)\) \(\chi_{ 3 } ( 2, ·)\)
\(\chi_{ 3 }(2, ·)\) \(\chi_{ 3 } ( 2, ·)\) \(\chi_{ 3 } ( 1, ·)\)