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

$K$ is the global number field defined by x^2 105

$\times$ \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(1, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(419, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 1, ·)\)