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

$K$ is the global number field defined by \( x^{2} - 223 \)

$\times$ \(\chi_{ 892 } ( 1, ·)\) \(\chi_{ 892 } ( 891, ·)\)
\(\chi_{ 892 }(1, ·)\) \(\chi_{ 892 } ( 1, ·)\) \(\chi_{ 892 } ( 891, ·)\)
\(\chi_{ 892 }(891, ·)\) \(\chi_{ 892 } ( 891, ·)\) \(\chi_{ 892 } ( 1, ·)\)