Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{12} + 732x^{10} + 200934x^{8} + 25421872x^{6} + 1453813305x^{4} + 30405466836x^{2} + 51520374361 \)
| $\times$ | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\chi_{ 4392 }(1, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) |
| \(\chi_{ 4392 }(1219, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) |
| \(\chi_{ 4392 }(1829, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) |
| \(\chi_{ 4392 }(365, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) |
| \(\chi_{ 4392 }(4271, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) |
| \(\chi_{ 4392 }(2929, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) |
| \(\chi_{ 4392 }(4147, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) |
| \(\chi_{ 4392 }(2807, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) |
| \(\chi_{ 4392 }(1465, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) |
| \(\chi_{ 4392 }(2683, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) |
| \(\chi_{ 4392 }(3293, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) |
| \(\chi_{ 4392 }(1343, ·)\) | \(\chi_{ 4392 } ( 1343, ·)\) | \(\chi_{ 4392 } ( 3293, ·)\) | \(\chi_{ 4392 } ( 1219, ·)\) | \(\chi_{ 4392 } ( 2683, ·)\) | \(\chi_{ 4392 } ( 1, ·)\) | \(\chi_{ 4392 } ( 2807, ·)\) | \(\chi_{ 4392 } ( 365, ·)\) | \(\chi_{ 4392 } ( 1465, ·)\) | \(\chi_{ 4392 } ( 4271, ·)\) | \(\chi_{ 4392 } ( 1829, ·)\) | \(\chi_{ 4392 } ( 4147, ·)\) | \(\chi_{ 4392 } ( 2929, ·)\) |