Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} + 2 \)
$\times$
\(\chi_{ 8 } ( 1, ·)\)
\(\chi_{ 8 } ( 3, ·)\)
\(\chi_{ 8 }(1, ·)\)
\(\chi_{ 8 } ( 1, ·)\)
\(\chi_{ 8 } ( 3, ·)\)
\(\chi_{ 8 }(3, ·)\)
\(\chi_{ 8 } ( 3, ·)\)
\(\chi_{ 8 } ( 1, ·)\)