Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - 7 \)
| $\times$ | \(\chi_{ 28 } ( 1, ·)\) | \(\chi_{ 28 } ( 27, ·)\) |
|---|---|---|
| \(\chi_{ 28 }(1, ·)\) | \(\chi_{ 28 } ( 1, ·)\) | \(\chi_{ 28 } ( 27, ·)\) |
| \(\chi_{ 28 }(27, ·)\) | \(\chi_{ 28 } ( 27, ·)\) | \(\chi_{ 28 } ( 1, ·)\) |