Group of Dirichlet characters

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

$K$ is the global number field defined by \(x^{4} \) \(\mathstrut -\mathstrut x^{3} \) \(\mathstrut -\mathstrut 24 x^{2} \) \(\mathstrut -\mathstrut 22 x \) \(\mathstrut +\mathstrut 29 \)

$\times$	\(\chi_{ 91 } ( 1, ·)\)	\(\chi_{ 91 } ( 64, ·)\)	\(\chi_{ 91 } ( 34, ·)\)	\(\chi_{ 91 } ( 83, ·)\)
\(\chi_{ 91 }(1, ·)\)	\(\chi_{ 91 } ( 1, ·)\)	\(\chi_{ 91 } ( 64, ·)\)	\(\chi_{ 91 } ( 34, ·)\)	\(\chi_{ 91 } ( 83, ·)\)
\(\chi_{ 91 }(64, ·)\)	\(\chi_{ 91 } ( 64, ·)\)	\(\chi_{ 91 } ( 1, ·)\)	\(\chi_{ 91 } ( 83, ·)\)	\(\chi_{ 91 } ( 34, ·)\)
\(\chi_{ 91 }(34, ·)\)	\(\chi_{ 91 } ( 34, ·)\)	\(\chi_{ 91 } ( 83, ·)\)	\(\chi_{ 91 } ( 64, ·)\)	\(\chi_{ 91 } ( 1, ·)\)
\(\chi_{ 91 }(83, ·)\)	\(\chi_{ 91 } ( 83, ·)\)	\(\chi_{ 91 } ( 34, ·)\)	\(\chi_{ 91 } ( 1, ·)\)	\(\chi_{ 91 } ( 64, ·)\)