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

$K$ is the global number field defined by \( x^{16} - 27 x^{12} + 366 x^{8} - 308 x^{4} + 81 \)

$\times$ \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 57, ·)\)
\(\chi_{ 104 }(1, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 57, ·)\)
\(\chi_{ 104 }(5, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 77, ·)\)
\(\chi_{ 104 }(73, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 1, ·)\)
\(\chi_{ 104 }(77, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 21, ·)\)
\(\chi_{ 104 }(79, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 31, ·)\)
\(\chi_{ 104 }(83, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 51, ·)\)
\(\chi_{ 104 }(21, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 53, ·)\)
\(\chi_{ 104 }(25, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 73, ·)\)
\(\chi_{ 104 }(27, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 83, ·)\)
\(\chi_{ 104 }(31, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 103, ·)\)
\(\chi_{ 104 }(99, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 27, ·)\)
\(\chi_{ 104 }(103, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 47, ·)\)
\(\chi_{ 104 }(47, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 79, ·)\)
\(\chi_{ 104 }(51, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 99, ·)\)
\(\chi_{ 104 }(53, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 25, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 5, ·)\)
\(\chi_{ 104 }(57, ·)\) \(\chi_{ 104 } ( 57, ·)\) \(\chi_{ 104 } ( 77, ·)\) \(\chi_{ 104 } ( 1, ·)\) \(\chi_{ 104 } ( 21, ·)\) \(\chi_{ 104 } ( 31, ·)\) \(\chi_{ 104 } ( 51, ·)\) \(\chi_{ 104 } ( 53, ·)\) \(\chi_{ 104 } ( 73, ·)\) \(\chi_{ 104 } ( 83, ·)\) \(\chi_{ 104 } ( 103, ·)\) \(\chi_{ 104 } ( 27, ·)\) \(\chi_{ 104 } ( 47, ·)\) \(\chi_{ 104 } ( 79, ·)\) \(\chi_{ 104 } ( 99, ·)\) \(\chi_{ 104 } ( 5, ·)\) \(\chi_{ 104 } ( 25, ·)\)