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

$K$ is the global number field defined by \( x^{16} + 12 x^{14} + 110 x^{12} + 362 x^{10} + 879 x^{8} + 758 x^{6} + 495 x^{4} + 23 x^{2} + 1 \)

$\times$ \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(1, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(323, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 281, ·)\)
\(\chi_{ 420 }(391, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 97, ·)\)
\(\chi_{ 420 }(139, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 13, ·)\)
\(\chi_{ 420 }(13, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 391, ·)\)
\(\chi_{ 420 }(407, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 29, ·)\)
\(\chi_{ 420 }(281, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 407, ·)\)
\(\chi_{ 420 }(29, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 323, ·)\)
\(\chi_{ 420 }(97, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 139, ·)\)
\(\chi_{ 420 }(419, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 293, ·)\)
\(\chi_{ 420 }(293, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 251, ·)\)
\(\chi_{ 420 }(169, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 43, ·)\)
\(\chi_{ 420 }(43, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 1, ·)\)
\(\chi_{ 420 }(377, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(251, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 169, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 377, ·)\)
\(\chi_{ 420 }(127, ·)\) \(\chi_{ 420 } ( 127, ·)\) \(\chi_{ 420 } ( 281, ·)\) \(\chi_{ 420 } ( 97, ·)\) \(\chi_{ 420 } ( 13, ·)\) \(\chi_{ 420 } ( 391, ·)\) \(\chi_{ 420 } ( 29, ·)\) \(\chi_{ 420 } ( 407, ·)\) \(\chi_{ 420 } ( 323, ·)\) \(\chi_{ 420 } ( 139, ·)\) \(\chi_{ 420 } ( 293, ·)\) \(\chi_{ 420 } ( 251, ·)\) \(\chi_{ 420 } ( 43, ·)\) \(\chi_{ 420 } ( 1, ·)\) \(\chi_{ 420 } ( 419, ·)\) \(\chi_{ 420 } ( 377, ·)\) \(\chi_{ 420 } ( 169, ·)\)