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

$K$ is the global number field defined by \( x^{2} + 53 \)

$\times$ \(\chi_{ 212 } ( 1, ·)\) \(\chi_{ 212 } ( 211, ·)\)
\(\chi_{ 212 }(1, ·)\) \(\chi_{ 212 } ( 1, ·)\) \(\chi_{ 212 } ( 211, ·)\)
\(\chi_{ 212 }(211, ·)\) \(\chi_{ 212 } ( 211, ·)\) \(\chi_{ 212 } ( 1, ·)\)