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

$K$ is the global number field defined by \( x^{2} - 287 \)

$\times$ \(\chi_{ 1148 } ( 1, ·)\) \(\chi_{ 1148 } ( 1147, ·)\)
\(\chi_{ 1148 }(1, ·)\) \(\chi_{ 1148 } ( 1, ·)\) \(\chi_{ 1148 } ( 1147, ·)\)
\(\chi_{ 1148 }(1147, ·)\) \(\chi_{ 1148 } ( 1147, ·)\) \(\chi_{ 1148 } ( 1, ·)\)