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

$K$ is the global number field defined by \(x^{2} + 5\)  Toggle raw display

$\times$ \(\chi_{ 20 } ( 1, ·)\) \(\chi_{ 20 } ( 19, ·)\)
\(\chi_{ 20 }(1, ·)\) \(\chi_{ 20 } ( 1, ·)\) \(\chi_{ 20 } ( 19, ·)\)
\(\chi_{ 20 }(19, ·)\) \(\chi_{ 20 } ( 19, ·)\) \(\chi_{ 20 } ( 1, ·)\)