Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{16} - 13 x^{14} + 129 x^{12} - 494 x^{10} + 1430 x^{8} - 494 x^{6} + 129 x^{4} - 13 x^{2} + 1 \)

$\times$ \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 191, ·)\)
\(\chi_{ 204 }(1, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 191, ·)\)
\(\chi_{ 204 }(67, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 149, ·)\)
\(\chi_{ 204 }(137, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 55, ·)\)
\(\chi_{ 204 }(203, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 13, ·)\)
\(\chi_{ 204 }(13, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 35, ·)\)
\(\chi_{ 204 }(149, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 103, ·)\)
\(\chi_{ 204 }(89, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 67, ·)\)
\(\chi_{ 204 }(157, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 203, ·)\)
\(\chi_{ 204 }(35, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 157, ·)\)
\(\chi_{ 204 }(101, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 115, ·)\)
\(\chi_{ 204 }(103, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 89, ·)\)
\(\chi_{ 204 }(169, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 47, ·)\)
\(\chi_{ 204 }(47, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 1, ·)\)
\(\chi_{ 204 }(115, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 137, ·)\)
\(\chi_{ 204 }(55, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 169, ·)\) \(\chi_{ 204 } ( 101, ·)\)
\(\chi_{ 204 }(191, ·)\) \(\chi_{ 204 } ( 191, ·)\) \(\chi_{ 204 } ( 149, ·)\) \(\chi_{ 204 } ( 55, ·)\) \(\chi_{ 204 } ( 13, ·)\) \(\chi_{ 204 } ( 35, ·)\) \(\chi_{ 204 } ( 103, ·)\) \(\chi_{ 204 } ( 67, ·)\) \(\chi_{ 204 } ( 203, ·)\) \(\chi_{ 204 } ( 157, ·)\) \(\chi_{ 204 } ( 115, ·)\) \(\chi_{ 204 } ( 89, ·)\) \(\chi_{ 204 } ( 47, ·)\) \(\chi_{ 204 } ( 1, ·)\) \(\chi_{ 204 } ( 137, ·)\) \(\chi_{ 204 } ( 101, ·)\) \(\chi_{ 204 } ( 169, ·)\)