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

$K$ is the global number field defined by \( x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} + 19 x^{12} + 88 x^{11} - 497 x^{10} + 10 x^{9} + 3711 x^{8} - 3712 x^{7} + 2758 x^{6} - 1816 x^{5} + 1084 x^{4} - 464 x^{3} + 184 x^{2} - 64 x + 16 \)

$\times$ \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 251, ·)\)
\(\chi_{ 280 }(1, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 251, ·)\)
\(\chi_{ 280 }(267, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 97, ·)\)
\(\chi_{ 280 }(139, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 169, ·)\)
\(\chi_{ 280 }(209, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 99, ·)\)
\(\chi_{ 280 }(83, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 113, ·)\)
\(\chi_{ 280 }(153, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 43, ·)\)
\(\chi_{ 280 }(27, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 57, ·)\)
\(\chi_{ 280 }(97, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 267, ·)\)
\(\chi_{ 280 }(99, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 209, ·)\)
\(\chi_{ 280 }(41, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 211, ·)\)
\(\chi_{ 280 }(43, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 153, ·)\)
\(\chi_{ 280 }(113, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 83, ·)\)
\(\chi_{ 280 }(211, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 41, ·)\)
\(\chi_{ 280 }(169, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 139, ·)\)
\(\chi_{ 280 }(57, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 27, ·)\)
\(\chi_{ 280 }(251, ·)\) \(\chi_{ 280 } ( 251, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 99, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 43, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 267, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 211, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 83, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 139, ·)\) \(\chi_{ 280 } ( 27, ·)\) \(\chi_{ 280 } ( 1, ·)\)