Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{18} - 18x^{16} + 135x^{14} - 546x^{12} + 1287x^{10} - 1782x^{8} + 1386x^{6} - 540x^{4} + 81x^{2} - 3 \)
| $\times$ | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 61, ·)\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\chi_{ 108 }(1, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 61, ·)\) |
| \(\chi_{ 108 }(71, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 11, ·)\) |
| \(\chi_{ 108 }(73, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 25, ·)\) |
| \(\chi_{ 108 }(11, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 23, ·)\) |
| \(\chi_{ 108 }(13, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 37, ·)\) |
| \(\chi_{ 108 }(83, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 95, ·)\) |
| \(\chi_{ 108 }(85, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 1, ·)\) |
| \(\chi_{ 108 }(23, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 107, ·)\) |
| \(\chi_{ 108 }(25, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 13, ·)\) |
| \(\chi_{ 108 }(95, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 71, ·)\) |
| \(\chi_{ 108 }(97, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 85, ·)\) |
| \(\chi_{ 108 }(35, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 83, ·)\) |
| \(\chi_{ 108 }(37, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 97, ·)\) |
| \(\chi_{ 108 }(107, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 47, ·)\) |
| \(\chi_{ 108 }(47, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 59, ·)\) |
| \(\chi_{ 108 }(49, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 73, ·)\) |
| \(\chi_{ 108 }(59, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 49, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 35, ·)\) |
| \(\chi_{ 108 }(61, ·)\) | \(\chi_{ 108 } ( 61, ·)\) | \(\chi_{ 108 } ( 11, ·)\) | \(\chi_{ 108 } ( 25, ·)\) | \(\chi_{ 108 } ( 23, ·)\) | \(\chi_{ 108 } ( 37, ·)\) | \(\chi_{ 108 } ( 95, ·)\) | \(\chi_{ 108 } ( 1, ·)\) | \(\chi_{ 108 } ( 107, ·)\) | \(\chi_{ 108 } ( 13, ·)\) | \(\chi_{ 108 } ( 71, ·)\) | \(\chi_{ 108 } ( 85, ·)\) | \(\chi_{ 108 } ( 83, ·)\) | \(\chi_{ 108 } ( 97, ·)\) | \(\chi_{ 108 } ( 47, ·)\) | \(\chi_{ 108 } ( 59, ·)\) | \(\chi_{ 108 } ( 73, ·)\) | \(\chi_{ 108 } ( 35, ·)\) | \(\chi_{ 108 } ( 49, ·)\) |