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

$K$ is the global number field defined by \( x^{2} - x - 165 \)

$\times$ \(\chi_{ 661 } ( 1, ·)\) \(\chi_{ 661 } ( 660, ·)\)
\(\chi_{ 661 }(1, ·)\) \(\chi_{ 661 } ( 1, ·)\) \(\chi_{ 661 } ( 660, ·)\)
\(\chi_{ 661 }(660, ·)\) \(\chi_{ 661 } ( 660, ·)\) \(\chi_{ 661 } ( 1, ·)\)