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

$K$ is the global number field defined by \( x^{2} + 22 \)

$\times$ \(\chi_{ 88 } ( 1, ·)\) \(\chi_{ 88 } ( 21, ·)\)
\(\chi_{ 88 }(1, ·)\) \(\chi_{ 88 } ( 1, ·)\) \(\chi_{ 88 } ( 21, ·)\)
\(\chi_{ 88 }(21, ·)\) \(\chi_{ 88 } ( 21, ·)\) \(\chi_{ 88 } ( 1, ·)\)