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

$K$ is the global number field defined by \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 656 x^{12} - 1752 x^{11} + 3898 x^{10} - 7148 x^{9} + 10467 x^{8} - 11960 x^{7} + 8262 x^{6} - 264 x^{5} + 372 x^{4} - 6272 x^{3} + 4376 x^{2} - 480 x + 16 \)

$\times$ \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 253, ·)\)
\(\chi_{ 280 }(1, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 253, ·)\)
\(\chi_{ 280 }(69, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 97, ·)\)
\(\chi_{ 280 }(13, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 209, ·)\)
\(\chi_{ 280 }(141, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 113, ·)\)
\(\chi_{ 280 }(209, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 237, ·)\)
\(\chi_{ 280 }(153, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 69, ·)\)
\(\chi_{ 280 }(29, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 57, ·)\)
\(\chi_{ 280 }(197, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 1, ·)\)
\(\chi_{ 280 }(97, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 181, ·)\)
\(\chi_{ 280 }(41, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 13, ·)\)
\(\chi_{ 280 }(237, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 41, ·)\)
\(\chi_{ 280 }(113, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 29, ·)\)
\(\chi_{ 280 }(181, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 153, ·)\)
\(\chi_{ 280 }(169, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 197, ·)\)
\(\chi_{ 280 }(57, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 169, ·)\) \(\chi_{ 280 } ( 141, ·)\)
\(\chi_{ 280 }(253, ·)\) \(\chi_{ 280 } ( 253, ·)\) \(\chi_{ 280 } ( 97, ·)\) \(\chi_{ 280 } ( 209, ·)\) \(\chi_{ 280 } ( 113, ·)\) \(\chi_{ 280 } ( 237, ·)\) \(\chi_{ 280 } ( 69, ·)\) \(\chi_{ 280 } ( 57, ·)\) \(\chi_{ 280 } ( 1, ·)\) \(\chi_{ 280 } ( 181, ·)\) \(\chi_{ 280 } ( 13, ·)\) \(\chi_{ 280 } ( 41, ·)\) \(\chi_{ 280 } ( 29, ·)\) \(\chi_{ 280 } ( 153, ·)\) \(\chi_{ 280 } ( 197, ·)\) \(\chi_{ 280 } ( 141, ·)\) \(\chi_{ 280 } ( 169, ·)\)