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

$K$ is the global number field defined by <span class="tset-container"><span class="tset-raw" id="tset-raw-177" raw="x^2 - x - 9" israw="0" ondblclick="ondouble(177)">\(x^{2} - x - 9\)</span>&nbsp;&nbsp;<span onclick="iconrawtset(177)"><img alt="Toggle raw display" src="/static/images/t2r.png" class="tset-icon" id="tset-raw-icon-177" style="position:relative;top: 2px"></span></span>

$\times$ \(\chi_{ 37 } ( 1, ·)\) \(\chi_{ 37 } ( 36, ·)\)
\(\chi_{ 37 }(1, ·)\) \(\chi_{ 37 } ( 1, ·)\) \(\chi_{ 37 } ( 36, ·)\)
\(\chi_{ 37 }(36, ·)\) \(\chi_{ 37 } ( 36, ·)\) \(\chi_{ 37 } ( 1, ·)\)