Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} + 38 \)
| $\times$ | \(\chi_{ 152 } ( 1, ·)\) | \(\chi_{ 152 } ( 37, ·)\) |
|---|---|---|
| \(\chi_{ 152 }(1, ·)\) | \(\chi_{ 152 } ( 1, ·)\) | \(\chi_{ 152 } ( 37, ·)\) |
| \(\chi_{ 152 }(37, ·)\) | \(\chi_{ 152 } ( 37, ·)\) | \(\chi_{ 152 } ( 1, ·)\) |