Group of Dirichlet characters

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

$K$ is the global number field defined by \(x^{6} \) \(\mathstrut +\mathstrut 12 x^{4} \) \(\mathstrut +\mathstrut 36 x^{2} \) \(\mathstrut +\mathstrut 8 \)

$\times$	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 43, ·)\)
\(\chi_{ 72 }(1, ·)\)	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 43, ·)\)
\(\chi_{ 72 }(19, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 43, ·)\)	\(\chi_{ 72 } ( 25, ·)\)
\(\chi_{ 72 }(67, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 43, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 1, ·)\)
\(\chi_{ 72 }(49, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 43, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 19, ·)\)
\(\chi_{ 72 }(25, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 43, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 49, ·)\)	\(\chi_{ 72 } ( 67, ·)\)
\(\chi_{ 72 }(43, ·)\)	\(\chi_{ 72 } ( 43, ·)\)	\(\chi_{ 72 } ( 25, ·)\)	\(\chi_{ 72 } ( 1, ·)\)	\(\chi_{ 72 } ( 19, ·)\)	\(\chi_{ 72 } ( 67, ·)\)	\(\chi_{ 72 } ( 49, ·)\)