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

$K$ is the global number field defined by \(x^{2} \) \(\mathstrut +\mathstrut 74 \)

$\times$ \(\chi_{ 296 } ( 1, ·)\) \(\chi_{ 296 } ( 147, ·)\)
\(\chi_{ 296 }(1, ·)\) \(\chi_{ 296 } ( 1, ·)\) \(\chi_{ 296 } ( 147, ·)\)
\(\chi_{ 296 }(147, ·)\) \(\chi_{ 296 } ( 147, ·)\) \(\chi_{ 296 } ( 1, ·)\)