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

$K$ is the global number field defined by \( x^{2} - x - 788 \)

$\times$ \(\chi_{ 3153 } ( 1, ·)\) \(\chi_{ 3153 } ( 3152, ·)\)
\(\chi_{ 3153 }(1, ·)\) \(\chi_{ 3153 } ( 1, ·)\) \(\chi_{ 3153 } ( 3152, ·)\)
\(\chi_{ 3153 }(3152, ·)\) \(\chi_{ 3153 } ( 3152, ·)\) \(\chi_{ 3153 } ( 1, ·)\)