Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - 34 x^{2} + 25 \)
| $\times$ | \(\chi_{ 264 } ( 1, ·)\) | \(\chi_{ 264 } ( 155, ·)\) | \(\chi_{ 264 } ( 197, ·)\) | \(\chi_{ 264 } ( 175, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 264 }(1, ·)\) | \(\chi_{ 264 } ( 1, ·)\) | \(\chi_{ 264 } ( 155, ·)\) | \(\chi_{ 264 } ( 197, ·)\) | \(\chi_{ 264 } ( 175, ·)\) |
| \(\chi_{ 264 }(155, ·)\) | \(\chi_{ 264 } ( 155, ·)\) | \(\chi_{ 264 } ( 1, ·)\) | \(\chi_{ 264 } ( 175, ·)\) | \(\chi_{ 264 } ( 197, ·)\) |
| \(\chi_{ 264 }(197, ·)\) | \(\chi_{ 264 } ( 197, ·)\) | \(\chi_{ 264 } ( 175, ·)\) | \(\chi_{ 264 } ( 1, ·)\) | \(\chi_{ 264 } ( 155, ·)\) |
| \(\chi_{ 264 }(175, ·)\) | \(\chi_{ 264 } ( 175, ·)\) | \(\chi_{ 264 } ( 197, ·)\) | \(\chi_{ 264 } ( 155, ·)\) | \(\chi_{ 264 } ( 1, ·)\) |