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

$K$ is the global number field defined by \( x^{2} - x - 105 \)

$\times$ \(\chi_{ 421 } ( 1, ·)\) \(\chi_{ 421 } ( 420, ·)\)
\(\chi_{ 421 }(1, ·)\) \(\chi_{ 421 } ( 1, ·)\) \(\chi_{ 421 } ( 420, ·)\)
\(\chi_{ 421 }(420, ·)\) \(\chi_{ 421 } ( 420, ·)\) \(\chi_{ 421 } ( 1, ·)\)