Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} + 26 x^{2} + 52 \)
| $\times$ | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 104 }(1, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) |
| \(\chi_{ 104 }(21, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) |
| \(\chi_{ 104 }(5, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 21, ·)\) |
| \(\chi_{ 104 }(25, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 1, ·)\) |