Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{3} - x^{2} - 24 x + 27 \)
| $\times$ | \(\chi_{ 73 } ( 1, ·)\) | \(\chi_{ 73 } ( 8, ·)\) | \(\chi_{ 73 } ( 64, ·)\) |
|---|---|---|---|
| \(\chi_{ 73 }(1, ·)\) | \(\chi_{ 73 } ( 1, ·)\) | \(\chi_{ 73 } ( 8, ·)\) | \(\chi_{ 73 } ( 64, ·)\) |
| \(\chi_{ 73 }(8, ·)\) | \(\chi_{ 73 } ( 8, ·)\) | \(\chi_{ 73 } ( 64, ·)\) | \(\chi_{ 73 } ( 1, ·)\) |
| \(\chi_{ 73 }(64, ·)\) | \(\chi_{ 73 } ( 64, ·)\) | \(\chi_{ 73 } ( 1, ·)\) | \(\chi_{ 73 } ( 8, ·)\) |