Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - 2 x^{2} + 4 \)
$\times$ | \(\chi_{ 24 } ( 1, ·)\) | \(\chi_{ 24 } ( 11, ·)\) | \(\chi_{ 24 } ( 19, ·)\) | \(\chi_{ 24 } ( 17, ·)\) |
---|---|---|---|---|
\(\chi_{ 24 }(1, ·)\) | \(\chi_{ 24 } ( 1, ·)\) | \(\chi_{ 24 } ( 11, ·)\) | \(\chi_{ 24 } ( 19, ·)\) | \(\chi_{ 24 } ( 17, ·)\) |
\(\chi_{ 24 }(11, ·)\) | \(\chi_{ 24 } ( 11, ·)\) | \(\chi_{ 24 } ( 1, ·)\) | \(\chi_{ 24 } ( 17, ·)\) | \(\chi_{ 24 } ( 19, ·)\) |
\(\chi_{ 24 }(19, ·)\) | \(\chi_{ 24 } ( 19, ·)\) | \(\chi_{ 24 } ( 17, ·)\) | \(\chi_{ 24 } ( 1, ·)\) | \(\chi_{ 24 } ( 11, ·)\) |
\(\chi_{ 24 }(17, ·)\) | \(\chi_{ 24 } ( 17, ·)\) | \(\chi_{ 24 } ( 19, ·)\) | \(\chi_{ 24 } ( 11, ·)\) | \(\chi_{ 24 } ( 1, ·)\) |