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

$K$ is the global number field defined by \( x^{16} - x^{15} - 4 x^{14} + 13 x^{13} - 13 x^{12} + 49 x^{11} + 132 x^{10} - 637 x^{9} + 381 x^{8} + 2548 x^{7} + 2112 x^{6} - 3136 x^{5} - 3328 x^{4} - 13312 x^{3} - 16384 x^{2} + 16384 x + 65536 \)

$\times$ \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 254, ·)\)
\(\chi_{ 255 }(1, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 254, ·)\)
\(\chi_{ 255 }(67, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 188, ·)\)
\(\chi_{ 255 }(137, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 118, ·)\)
\(\chi_{ 255 }(203, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 52, ·)\)
\(\chi_{ 255 }(16, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 239, ·)\)
\(\chi_{ 255 }(86, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 169, ·)\)
\(\chi_{ 255 }(152, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 103, ·)\)
\(\chi_{ 255 }(154, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 101, ·)\)
\(\chi_{ 255 }(101, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 154, ·)\)
\(\chi_{ 255 }(103, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 152, ·)\)
\(\chi_{ 255 }(169, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 86, ·)\)
\(\chi_{ 255 }(239, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 16, ·)\)
\(\chi_{ 255 }(52, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 203, ·)\)
\(\chi_{ 255 }(118, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 137, ·)\)
\(\chi_{ 255 }(188, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 1, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 67, ·)\)
\(\chi_{ 255 }(254, ·)\) \(\chi_{ 255 } ( 254, ·)\) \(\chi_{ 255 } ( 188, ·)\) \(\chi_{ 255 } ( 118, ·)\) \(\chi_{ 255 } ( 52, ·)\) \(\chi_{ 255 } ( 239, ·)\) \(\chi_{ 255 } ( 169, ·)\) \(\chi_{ 255 } ( 103, ·)\) \(\chi_{ 255 } ( 101, ·)\) \(\chi_{ 255 } ( 154, ·)\) \(\chi_{ 255 } ( 152, ·)\) \(\chi_{ 255 } ( 86, ·)\) \(\chi_{ 255 } ( 16, ·)\) \(\chi_{ 255 } ( 203, ·)\) \(\chi_{ 255 } ( 137, ·)\) \(\chi_{ 255 } ( 67, ·)\) \(\chi_{ 255 } ( 1, ·)\)