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

$K$ is the global number field defined by \(x^{3} \) \(\mathstrut -\mathstrut 39 x \) \(\mathstrut -\mathstrut 91 \)

$\times$ \(\chi_{ 117 } ( 1, ·)\) \(\chi_{ 117 } ( 61, ·)\) \(\chi_{ 117 } ( 94, ·)\)
\(\chi_{ 117 }(1, ·)\) \(\chi_{ 117 } ( 1, ·)\) \(\chi_{ 117 } ( 61, ·)\) \(\chi_{ 117 } ( 94, ·)\)
\(\chi_{ 117 }(61, ·)\) \(\chi_{ 117 } ( 61, ·)\) \(\chi_{ 117 } ( 94, ·)\) \(\chi_{ 117 } ( 1, ·)\)
\(\chi_{ 117 }(94, ·)\) \(\chi_{ 117 } ( 94, ·)\) \(\chi_{ 117 } ( 1, ·)\) \(\chi_{ 117 } ( 61, ·)\)