Group of Dirichlet characters

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

$K$ is the global number field defined by \( x^{3} - x^{2} - 20 x + 9 \)

$\times$	\(\chi_{ 61 } ( 1, ·)\)	\(\chi_{ 61 } ( 13, ·)\)	\(\chi_{ 61 } ( 47, ·)\)
\(\chi_{ 61 }(1, ·)\)	\(\chi_{ 61 } ( 1, ·)\)	\(\chi_{ 61 } ( 13, ·)\)	\(\chi_{ 61 } ( 47, ·)\)
\(\chi_{ 61 }(13, ·)\)	\(\chi_{ 61 } ( 13, ·)\)	\(\chi_{ 61 } ( 47, ·)\)	\(\chi_{ 61 } ( 1, ·)\)
\(\chi_{ 61 }(47, ·)\)	\(\chi_{ 61 } ( 47, ·)\)	\(\chi_{ 61 } ( 1, ·)\)	\(\chi_{ 61 } ( 13, ·)\)