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

$K$ is the global number field defined by \( x^{11} - x^{10} - 10 x^{9} + 9 x^{8} + 36 x^{7} - 28 x^{6} - 56 x^{5} + 35 x^{4} + 35 x^{3} - 15 x^{2} - 6 x + 1 \)

$\times$ \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 18, ·)\)
\(\chi_{ 23 }(1, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 18, ·)\)
\(\chi_{ 23 }(2, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 13, ·)\)
\(\chi_{ 23 }(3, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 8, ·)\)
\(\chi_{ 23 }(4, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 3, ·)\)
\(\chi_{ 23 }(6, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 16, ·)\)
\(\chi_{ 23 }(8, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 6, ·)\)
\(\chi_{ 23 }(9, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 1, ·)\)
\(\chi_{ 23 }(12, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 9, ·)\)
\(\chi_{ 23 }(13, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 4, ·)\)
\(\chi_{ 23 }(16, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 2, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 12, ·)\)
\(\chi_{ 23 }(18, ·)\) \(\chi_{ 23 } ( 18, ·)\) \(\chi_{ 23 } ( 13, ·)\) \(\chi_{ 23 } ( 8, ·)\) \(\chi_{ 23 } ( 3, ·)\) \(\chi_{ 23 } ( 16, ·)\) \(\chi_{ 23 } ( 6, ·)\) \(\chi_{ 23 } ( 1, ·)\) \(\chi_{ 23 } ( 9, ·)\) \(\chi_{ 23 } ( 4, ·)\) \(\chi_{ 23 } ( 12, ·)\) \(\chi_{ 23 } ( 2, ·)\)