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

$K$ is the global number field defined by \( x^{2} - x + 437 \)

$\times$ \(\chi_{ 1747 } ( 1, ·)\) \(\chi_{ 1747 } ( 1746, ·)\)
\(\chi_{ 1747 }(1, ·)\) \(\chi_{ 1747 } ( 1, ·)\) \(\chi_{ 1747 } ( 1746, ·)\)
\(\chi_{ 1747 }(1746, ·)\) \(\chi_{ 1747 } ( 1746, ·)\) \(\chi_{ 1747 } ( 1, ·)\)