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

$K$ is the global number field defined by \( x^{2} - x - 4 \)

$\times$ \(\chi_{ 17 } ( 1, ·)\) \(\chi_{ 17 } ( 16, ·)\)
\(\chi_{ 17 }(1, ·)\) \(\chi_{ 17 } ( 1, ·)\) \(\chi_{ 17 } ( 16, ·)\)
\(\chi_{ 17 }(16, ·)\) \(\chi_{ 17 } ( 16, ·)\) \(\chi_{ 17 } ( 1, ·)\)