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

$K$ is the global number field defined by \( x^{2} - x - 1088 \)

$\times$ \(\chi_{ 4353 } ( 1, ·)\) \(\chi_{ 4353 } ( 4352, ·)\)
\(\chi_{ 4353 }(1, ·)\) \(\chi_{ 4353 } ( 1, ·)\) \(\chi_{ 4353 } ( 4352, ·)\)
\(\chi_{ 4353 }(4352, ·)\) \(\chi_{ 4353 } ( 4352, ·)\) \(\chi_{ 4353 } ( 1, ·)\)