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

$K$ is the global number field defined by \( x^{2} + 2 \) Copy content Toggle raw display

$\times$ \(\chi_{ 8 } ( 1, ·)\) \(\chi_{ 8 } ( 3, ·)\)
\(\chi_{ 8 }(1, ·)\) \(\chi_{ 8 } ( 1, ·)\) \(\chi_{ 8 } ( 3, ·)\)
\(\chi_{ 8 }(3, ·)\) \(\chi_{ 8 } ( 3, ·)\) \(\chi_{ 8 } ( 1, ·)\)