Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} - x^{5} - 20x^{4} + 39x^{3} + 212x^{2} - 649x + 1067 \)
| $\times$ | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 221, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 473 }(1, ·)\) | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 221, ·)\) |
| \(\chi_{ 473 }(208, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 221, ·)\) | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 87, ·)\) |
| \(\chi_{ 473 }(307, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 221, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 208, ·)\) |
| \(\chi_{ 473 }(87, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 221, ·)\) | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 307, ·)\) |
| \(\chi_{ 473 }(122, ·)\) | \(\chi_{ 473 } ( 122, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 221, ·)\) | \(\chi_{ 473 } ( 1, ·)\) |
| \(\chi_{ 473 }(221, ·)\) | \(\chi_{ 473 } ( 221, ·)\) | \(\chi_{ 473 } ( 87, ·)\) | \(\chi_{ 473 } ( 208, ·)\) | \(\chi_{ 473 } ( 307, ·)\) | \(\chi_{ 473 } ( 1, ·)\) | \(\chi_{ 473 } ( 122, ·)\) |