Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{4} - 2x^{3} - 11x^{2} + 12x + 2 \)
| $\times$ | \(\chi_{ 136 } ( 1, ·)\) | \(\chi_{ 136 } ( 33, ·)\) | \(\chi_{ 136 } ( 101, ·)\) | \(\chi_{ 136 } ( 69, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 136 }(1, ·)\) | \(\chi_{ 136 } ( 1, ·)\) | \(\chi_{ 136 } ( 33, ·)\) | \(\chi_{ 136 } ( 101, ·)\) | \(\chi_{ 136 } ( 69, ·)\) |
| \(\chi_{ 136 }(33, ·)\) | \(\chi_{ 136 } ( 33, ·)\) | \(\chi_{ 136 } ( 1, ·)\) | \(\chi_{ 136 } ( 69, ·)\) | \(\chi_{ 136 } ( 101, ·)\) |
| \(\chi_{ 136 }(101, ·)\) | \(\chi_{ 136 } ( 101, ·)\) | \(\chi_{ 136 } ( 69, ·)\) | \(\chi_{ 136 } ( 1, ·)\) | \(\chi_{ 136 } ( 33, ·)\) |
| \(\chi_{ 136 }(69, ·)\) | \(\chi_{ 136 } ( 69, ·)\) | \(\chi_{ 136 } ( 101, ·)\) | \(\chi_{ 136 } ( 33, ·)\) | \(\chi_{ 136 } ( 1, ·)\) |