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

$K$ is the global number field defined by \( x^{2} - 82 \)

$\times$ \(\chi_{ 328 } ( 1, ·)\) \(\chi_{ 328 } ( 245, ·)\)
\(\chi_{ 328 }(1, ·)\) \(\chi_{ 328 } ( 1, ·)\) \(\chi_{ 328 } ( 245, ·)\)
\(\chi_{ 328 }(245, ·)\) \(\chi_{ 328 } ( 245, ·)\) \(\chi_{ 328 } ( 1, ·)\)