Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} + 78 \)
$\times$
\(\chi_{ 312 } ( 1, ·)\)
\(\chi_{ 312 } ( 77, ·)\)
\(\chi_{ 312 }(1, ·)\)
\(\chi_{ 312 } ( 1, ·)\)
\(\chi_{ 312 } ( 77, ·)\)
\(\chi_{ 312 }(77, ·)\)
\(\chi_{ 312 } ( 77, ·)\)
\(\chi_{ 312 } ( 1, ·)\)