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

$K$ is the global number field defined by \( x^{4} - 2x^{2} + 4 \) Copy content Toggle raw display

$\times$ \(\chi_{ 24 } ( 1, ·)\) \(\chi_{ 24 } ( 11, ·)\) \(\chi_{ 24 } ( 19, ·)\) \(\chi_{ 24 } ( 17, ·)\)
\(\chi_{ 24 }(1, ·)\) \(\chi_{ 24 } ( 1, ·)\) \(\chi_{ 24 } ( 11, ·)\) \(\chi_{ 24 } ( 19, ·)\) \(\chi_{ 24 } ( 17, ·)\)
\(\chi_{ 24 }(11, ·)\) \(\chi_{ 24 } ( 11, ·)\) \(\chi_{ 24 } ( 1, ·)\) \(\chi_{ 24 } ( 17, ·)\) \(\chi_{ 24 } ( 19, ·)\)
\(\chi_{ 24 }(19, ·)\) \(\chi_{ 24 } ( 19, ·)\) \(\chi_{ 24 } ( 17, ·)\) \(\chi_{ 24 } ( 1, ·)\) \(\chi_{ 24 } ( 11, ·)\)
\(\chi_{ 24 }(17, ·)\) \(\chi_{ 24 } ( 17, ·)\) \(\chi_{ 24 } ( 19, ·)\) \(\chi_{ 24 } ( 11, ·)\) \(\chi_{ 24 } ( 1, ·)\)