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

$K$ is the global number field defined by \( x^{2} - 91 \)

$\times$ \(\chi_{ 364 } ( 1, ·)\) \(\chi_{ 364 } ( 363, ·)\)
\(\chi_{ 364 }(1, ·)\) \(\chi_{ 364 } ( 1, ·)\) \(\chi_{ 364 } ( 363, ·)\)
\(\chi_{ 364 }(363, ·)\) \(\chi_{ 364 } ( 363, ·)\) \(\chi_{ 364 } ( 1, ·)\)