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-60" raw="x^17 - x^16 - 432*x^15 + 1911*x^14 + 56071*x^13 - 377127*x^12 - 2275999*x^11 + 22947072*x^10 - 5751373*x^9 - 395586237*x^8 + 1094097337*x^7 - 39485017*x^6 - 2920148551*x^5 + 2341974035*x^4 + 1284864535*x^3 - 1464500037*x^2 - 140787928*x + 238840843" israw="0" ondblclick="ondouble(60)">\(x^{17} - x^{16} - 432 x^{15} + 1911 x^{14} + 56071 x^{13} - 377127 x^{12} - 2275999 x^{11} + 22947072 x^{10} - 5751373 x^{9} - 395586237 x^{8} + 1094097337 x^{7} - 39485017 x^{6} - 2920148551 x^{5} + 2341974035 x^{4} + 1284864535 x^{3} - 1464500037 x^{2} - 140787928 x + 238840843\)</span>&nbsp;&nbsp;<span onclick="iconrawtset(60)"><img alt="Toggle raw display" src="/static/images/t2r.png" class="tset-icon" id="tset-raw-icon-60" style="position:relative;top: 2px"></span></span>

$\times$ \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 703, ·)\)
\(\chi_{ 919 }(1, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 703, ·)\)
\(\chi_{ 919 }(512, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 607, ·)\)
\(\chi_{ 919 }(706, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 58, ·)\)
\(\chi_{ 919 }(206, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 535, ·)\)
\(\chi_{ 919 }(849, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 416, ·)\)
\(\chi_{ 919 }(338, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 512, ·)\)
\(\chi_{ 919 }(416, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 206, ·)\)
\(\chi_{ 919 }(535, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 234, ·)\)
\(\chi_{ 919 }(284, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 229, ·)\)
\(\chi_{ 919 }(607, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 305, ·)\)
\(\chi_{ 919 }(288, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 284, ·)\)
\(\chi_{ 919 }(162, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 849, ·)\)
\(\chi_{ 919 }(229, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 162, ·)\)
\(\chi_{ 919 }(234, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 1, ·)\)
\(\chi_{ 919 }(305, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 288, ·)\)
\(\chi_{ 919 }(58, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 706, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 338, ·)\)
\(\chi_{ 919 }(703, ·)\) \(\chi_{ 919 } ( 703, ·)\) \(\chi_{ 919 } ( 607, ·)\) \(\chi_{ 919 } ( 58, ·)\) \(\chi_{ 919 } ( 535, ·)\) \(\chi_{ 919 } ( 416, ·)\) \(\chi_{ 919 } ( 512, ·)\) \(\chi_{ 919 } ( 206, ·)\) \(\chi_{ 919 } ( 234, ·)\) \(\chi_{ 919 } ( 229, ·)\) \(\chi_{ 919 } ( 305, ·)\) \(\chi_{ 919 } ( 284, ·)\) \(\chi_{ 919 } ( 849, ·)\) \(\chi_{ 919 } ( 162, ·)\) \(\chi_{ 919 } ( 1, ·)\) \(\chi_{ 919 } ( 288, ·)\) \(\chi_{ 919 } ( 338, ·)\) \(\chi_{ 919 } ( 706, ·)\)