Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} + 37x^{4} + 74x^{2} + 37 \)
| $\times$ | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 11, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 148 }(1, ·)\) | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 11, ·)\) |
| \(\chi_{ 148 }(27, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 11, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 1, ·)\) |
| \(\chi_{ 148 }(147, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 11, ·)\) | \(\chi_{ 148 } ( 137, ·)\) |
| \(\chi_{ 148 }(121, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 11, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 147, ·)\) |
| \(\chi_{ 148 }(137, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 11, ·)\) | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 121, ·)\) | \(\chi_{ 148 } ( 27, ·)\) |
| \(\chi_{ 148 }(11, ·)\) | \(\chi_{ 148 } ( 11, ·)\) | \(\chi_{ 148 } ( 1, ·)\) | \(\chi_{ 148 } ( 137, ·)\) | \(\chi_{ 148 } ( 147, ·)\) | \(\chi_{ 148 } ( 27, ·)\) | \(\chi_{ 148 } ( 121, ·)\) |