Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{6} - x^{5} + 11 x^{4} - 6 x^{3} + 108 x^{2} - 80 x + 64 \)
| $\times$ | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 25, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 93 }(1, ·)\) | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 25, ·)\) |
| \(\chi_{ 93 }(32, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 25, ·)\) | \(\chi_{ 93 } ( 56, ·)\) |
| \(\chi_{ 93 }(67, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 25, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 1, ·)\) |
| \(\chi_{ 93 }(5, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 25, ·)\) | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 32, ·)\) |
| \(\chi_{ 93 }(56, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 25, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 67, ·)\) | \(\chi_{ 93 } ( 5, ·)\) |
| \(\chi_{ 93 }(25, ·)\) | \(\chi_{ 93 } ( 25, ·)\) | \(\chi_{ 93 } ( 56, ·)\) | \(\chi_{ 93 } ( 1, ·)\) | \(\chi_{ 93 } ( 32, ·)\) | \(\chi_{ 93 } ( 5, ·)\) | \(\chi_{ 93 } ( 67, ·)\) |