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

$K$ is the global number field defined by \( x^{2} + 70 \)

$\times$ \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\)
\(\chi_{ 280 }(1, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\)
\(\chi_{ 280 }(69, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 1, ·)\)