Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - 28 x^{2} + 98 \)
$\times$ | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 83, ·)\) | \(\chi_{ 112 } ( 27, ·)\) | \(\chi_{ 112 } ( 57, ·)\) |
---|---|---|---|---|
\(\chi_{ 112 }(1, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 83, ·)\) | \(\chi_{ 112 } ( 27, ·)\) | \(\chi_{ 112 } ( 57, ·)\) |
\(\chi_{ 112 }(83, ·)\) | \(\chi_{ 112 } ( 83, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 27, ·)\) |
\(\chi_{ 112 }(27, ·)\) | \(\chi_{ 112 } ( 27, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 83, ·)\) |
\(\chi_{ 112 }(57, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 27, ·)\) | \(\chi_{ 112 } ( 83, ·)\) | \(\chi_{ 112 } ( 1, ·)\) |