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

$K$ is the global number field defined by \( x^{2} - x - 51 \)

$\times$ \(\chi_{ 205 } ( 1, ·)\) \(\chi_{ 205 } ( 204, ·)\)
\(\chi_{ 205 }(1, ·)\) \(\chi_{ 205 } ( 1, ·)\) \(\chi_{ 205 } ( 204, ·)\)
\(\chi_{ 205 }(204, ·)\) \(\chi_{ 205 } ( 204, ·)\) \(\chi_{ 205 } ( 1, ·)\)