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

$K$ is the global number field defined by \( x^{2} - x - 267 \)

$\times$ \(\chi_{ 1069 } ( 1, ·)\) \(\chi_{ 1069 } ( 1068, ·)\)
\(\chi_{ 1069 }(1, ·)\) \(\chi_{ 1069 } ( 1, ·)\) \(\chi_{ 1069 } ( 1068, ·)\)
\(\chi_{ 1069 }(1068, ·)\) \(\chi_{ 1069 } ( 1068, ·)\) \(\chi_{ 1069 } ( 1, ·)\)