Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{4} + 28x^{2} + 98 \)
| $\times$ | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 13, ·)\) | \(\chi_{ 112 } ( 69, ·)\) | \(\chi_{ 112 } ( 57, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 112 }(1, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 13, ·)\) | \(\chi_{ 112 } ( 69, ·)\) | \(\chi_{ 112 } ( 57, ·)\) |
| \(\chi_{ 112 }(13, ·)\) | \(\chi_{ 112 } ( 13, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 69, ·)\) |
| \(\chi_{ 112 }(69, ·)\) | \(\chi_{ 112 } ( 69, ·)\) | \(\chi_{ 112 } ( 1, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 13, ·)\) |
| \(\chi_{ 112 }(57, ·)\) | \(\chi_{ 112 } ( 57, ·)\) | \(\chi_{ 112 } ( 69, ·)\) | \(\chi_{ 112 } ( 13, ·)\) | \(\chi_{ 112 } ( 1, ·)\) |