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

$K$ is the global number field defined by \( x^{6} - x^{5} + 13 x^{4} + 34 x^{3} + 133 x^{2} + 132 x + 121 \)

$\times$ \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 47, ·)\)
\(\chi_{ 111 }(1, ·)\) \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 47, ·)\)
\(\chi_{ 111 }(100, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 47, ·)\) \(\chi_{ 111 } ( 38, ·)\)
\(\chi_{ 111 }(38, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 47, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 10, ·)\)
\(\chi_{ 111 }(10, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 47, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 26, ·)\)
\(\chi_{ 111 }(26, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 47, ·)\) \(\chi_{ 111 } ( 100, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 1, ·)\)
\(\chi_{ 111 }(47, ·)\) \(\chi_{ 111 } ( 47, ·)\) \(\chi_{ 111 } ( 38, ·)\) \(\chi_{ 111 } ( 10, ·)\) \(\chi_{ 111 } ( 26, ·)\) \(\chi_{ 111 } ( 1, ·)\) \(\chi_{ 111 } ( 100, ·)\)