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

$K$ is the global number field defined by \( x^{7} - x^{6} - 30 x^{5} - 3 x^{4} + 254 x^{3} + 246 x^{2} - 245 x - 137 \)

$\times$ \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 30, ·)\)
\(\chi_{ 71 }(1, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 30, ·)\)
\(\chi_{ 71 }(32, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 37, ·)\)
\(\chi_{ 71 }(20, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 32, ·)\)
\(\chi_{ 71 }(37, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 45, ·)\)
\(\chi_{ 71 }(48, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 20, ·)\)
\(\chi_{ 71 }(45, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 48, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 1, ·)\)
\(\chi_{ 71 }(30, ·)\) \(\chi_{ 71 } ( 30, ·)\) \(\chi_{ 71 } ( 37, ·)\) \(\chi_{ 71 } ( 32, ·)\) \(\chi_{ 71 } ( 45, ·)\) \(\chi_{ 71 } ( 20, ·)\) \(\chi_{ 71 } ( 1, ·)\) \(\chi_{ 71 } ( 48, ·)\)