Group of Dirichlet characters

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

$K$ is the global number field defined by \(x^{3} \) \(\mathstrut -\mathstrut x^{2} \) \(\mathstrut -\mathstrut 12 x \) \(\mathstrut -\mathstrut 11 \)

$\times$	\(\chi_{ 37 } ( 1, ·)\)	\(\chi_{ 37 } ( 10, ·)\)	\(\chi_{ 37 } ( 26, ·)\)
\(\chi_{ 37 }(1, ·)\)	\(\chi_{ 37 } ( 1, ·)\)	\(\chi_{ 37 } ( 10, ·)\)	\(\chi_{ 37 } ( 26, ·)\)
\(\chi_{ 37 }(10, ·)\)	\(\chi_{ 37 } ( 10, ·)\)	\(\chi_{ 37 } ( 26, ·)\)	\(\chi_{ 37 } ( 1, ·)\)
\(\chi_{ 37 }(26, ·)\)	\(\chi_{ 37 } ( 26, ·)\)	\(\chi_{ 37 } ( 1, ·)\)	\(\chi_{ 37 } ( 10, ·)\)