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

$K$ is the global number field defined by \( x^{2} + 133 \)

$\times$ \(\chi_{ 532 } ( 1, ·)\) \(\chi_{ 532 } ( 531, ·)\)
\(\chi_{ 532 }(1, ·)\) \(\chi_{ 532 } ( 1, ·)\) \(\chi_{ 532 } ( 531, ·)\)
\(\chi_{ 532 }(531, ·)\) \(\chi_{ 532 } ( 531, ·)\) \(\chi_{ 532 } ( 1, ·)\)