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-374" raw="x^17 - x^16 - 64*x^15 + 43*x^14 + 1478*x^13 - 932*x^12 - 16008*x^11 + 12183*x^10 + 86347*x^9 - 84507*x^8 - 213223*x^7 + 271237*x^6 + 152800*x^5 - 314540*x^4 + 100605*x^3 + 20132*x^2 - 13981*x + 1681" israw="0" ondblclick="ondouble(374)">\(x^{17} - x^{16} - 64 x^{15} + 43 x^{14} + 1478 x^{13} - 932 x^{12} - 16008 x^{11} + 12183 x^{10} + 86347 x^{9} - 84507 x^{8} - 213223 x^{7} + 271237 x^{6} + 152800 x^{5} - 314540 x^{4} + 100605 x^{3} + 20132 x^{2} - 13981 x + 1681\)</span>&nbsp;&nbsp;<span onclick="iconrawtset(374)"><img alt="Toggle raw display" src="/static/images/t2r.png" class="tset-icon" id="tset-raw-icon-374" style="position:relative;top: 2px"></span></span>

$\times$ \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 60, ·)\)
\(\chi_{ 137 }(1, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 60, ·)\)
\(\chi_{ 137 }(133, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 34, ·)\)
\(\chi_{ 137 }(72, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 73, ·)\)
\(\chi_{ 137 }(73, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 133, ·)\)
\(\chi_{ 137 }(74, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 56, ·)\)
\(\chi_{ 137 }(16, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 1, ·)\)
\(\chi_{ 137 }(88, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 74, ·)\)
\(\chi_{ 137 }(34, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 122, ·)\)
\(\chi_{ 137 }(59, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 115, ·)\)
\(\chi_{ 137 }(38, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 88, ·)\)
\(\chi_{ 137 }(50, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 123, ·)\)
\(\chi_{ 137 }(115, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 50, ·)\)
\(\chi_{ 137 }(119, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 16, ·)\)
\(\chi_{ 137 }(56, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 72, ·)\)
\(\chi_{ 137 }(122, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 59, ·)\)
\(\chi_{ 137 }(123, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 38, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 119, ·)\)
\(\chi_{ 137 }(60, ·)\) \(\chi_{ 137 } ( 60, ·)\) \(\chi_{ 137 } ( 34, ·)\) \(\chi_{ 137 } ( 73, ·)\) \(\chi_{ 137 } ( 133, ·)\) \(\chi_{ 137 } ( 56, ·)\) \(\chi_{ 137 } ( 1, ·)\) \(\chi_{ 137 } ( 74, ·)\) \(\chi_{ 137 } ( 122, ·)\) \(\chi_{ 137 } ( 115, ·)\) \(\chi_{ 137 } ( 88, ·)\) \(\chi_{ 137 } ( 123, ·)\) \(\chi_{ 137 } ( 50, ·)\) \(\chi_{ 137 } ( 16, ·)\) \(\chi_{ 137 } ( 72, ·)\) \(\chi_{ 137 } ( 59, ·)\) \(\chi_{ 137 } ( 119, ·)\) \(\chi_{ 137 } ( 38, ·)\)