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

$K$ is the global number field defined by \( x^{2} - 2594 \)

$\times$ \(\chi_{ 10376 } ( 1, ·)\) \(\chi_{ 10376 } ( 7781, ·)\)
\(\chi_{ 10376 }(1, ·)\) \(\chi_{ 10376 } ( 1, ·)\) \(\chi_{ 10376 } ( 7781, ·)\)
\(\chi_{ 10376 }(7781, ·)\) \(\chi_{ 10376 } ( 7781, ·)\) \(\chi_{ 10376 } ( 1, ·)\)