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

$K$ is the global number field defined by \(x^{12} - x^{11} - 4 x^{10} - 10 x^{9} + 39 x^{8} - 78 x^{7} + 214 x^{6} - 280 x^{5} + 693 x^{4} - 573 x^{3} - 222 x^{2} + 123 x + 601\)  Toggle raw display

$\times$ \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 60, ·)\)
\(\chi_{ 91 }(1, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 60, ·)\)
\(\chi_{ 91 }(64, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 18, ·)\)
\(\chi_{ 91 }(8, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 25, ·)\)
\(\chi_{ 91 }(44, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 1, ·)\)
\(\chi_{ 91 }(79, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 8, ·)\)
\(\chi_{ 91 }(18, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 79, ·)\)
\(\chi_{ 91 }(51, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 57, ·)\)
\(\chi_{ 91 }(53, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 86, ·)\)
\(\chi_{ 91 }(86, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 64, ·)\)
\(\chi_{ 91 }(25, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 44, ·)\)
\(\chi_{ 91 }(57, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 51, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 53, ·)\)
\(\chi_{ 91 }(60, ·)\) \(\chi_{ 91 } ( 60, ·)\) \(\chi_{ 91 } ( 18, ·)\) \(\chi_{ 91 } ( 25, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 8, ·)\) \(\chi_{ 91 } ( 79, ·)\) \(\chi_{ 91 } ( 57, ·)\) \(\chi_{ 91 } ( 86, ·)\) \(\chi_{ 91 } ( 64, ·)\) \(\chi_{ 91 } ( 44, ·)\) \(\chi_{ 91 } ( 53, ·)\) \(\chi_{ 91 } ( 51, ·)\)