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

$K$ is the global number field defined by \( x^{2} + 93 \)

$\times$ \(\chi_{ 372 } ( 1, ·)\) \(\chi_{ 372 } ( 371, ·)\)
\(\chi_{ 372 }(1, ·)\) \(\chi_{ 372 } ( 1, ·)\) \(\chi_{ 372 } ( 371, ·)\)
\(\chi_{ 372 }(371, ·)\) \(\chi_{ 372 } ( 371, ·)\) \(\chi_{ 372 } ( 1, ·)\)