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-350" raw="x^17 - x^16 - 304*x^15 + 1117*x^14 + 25631*x^13 - 126439*x^12 - 773932*x^11 + 4360454*x^10 + 10731832*x^9 - 64676368*x^8 - 79260104*x^7 + 441919082*x^6 + 345306489*x^5 - 1259087517*x^4 - 718017711*x^3 + 1025767171*x^2 + 183044979*x - 202031659" israw="0" ondblclick="ondouble(350)">\(x^{17} - x^{16} - 304 x^{15} + 1117 x^{14} + 25631 x^{13} - 126439 x^{12} - 773932 x^{11} + 4360454 x^{10} + 10731832 x^{9} - 64676368 x^{8} - 79260104 x^{7} + 441919082 x^{6} + 345306489 x^{5} - 1259087517 x^{4} - 718017711 x^{3} + 1025767171 x^{2} + 183044979 x - 202031659\)</span>&nbsp;&nbsp;<span onclick="iconrawtset(350)"><img alt="Toggle raw display" src="/static/images/t2r.png" class="tset-icon" id="tset-raw-icon-350" style="position:relative;top: 2px"></span></span>

$\times$ \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 573, ·)\)
\(\chi_{ 647 }(1, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 573, ·)\)
\(\chi_{ 647 }(67, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 218, ·)\)
\(\chi_{ 647 }(43, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 53, ·)\)
\(\chi_{ 647 }(338, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 221, ·)\)
\(\chi_{ 647 }(468, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 306, ·)\)
\(\chi_{ 647 }(218, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 43, ·)\)
\(\chi_{ 647 }(221, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 468, ·)\)
\(\chi_{ 647 }(607, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 372, ·)\)
\(\chi_{ 647 }(293, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 316, ·)\)
\(\chi_{ 647 }(555, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 338, ·)\)
\(\chi_{ 647 }(300, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 445, ·)\)
\(\chi_{ 647 }(445, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 67, ·)\)
\(\chi_{ 647 }(306, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 1, ·)\)
\(\chi_{ 647 }(372, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 293, ·)\)
\(\chi_{ 647 }(53, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 607, ·)\)
\(\chi_{ 647 }(316, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 300, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 555, ·)\)
\(\chi_{ 647 }(573, ·)\) \(\chi_{ 647 } ( 573, ·)\) \(\chi_{ 647 } ( 218, ·)\) \(\chi_{ 647 } ( 53, ·)\) \(\chi_{ 647 } ( 221, ·)\) \(\chi_{ 647 } ( 306, ·)\) \(\chi_{ 647 } ( 43, ·)\) \(\chi_{ 647 } ( 468, ·)\) \(\chi_{ 647 } ( 372, ·)\) \(\chi_{ 647 } ( 316, ·)\) \(\chi_{ 647 } ( 338, ·)\) \(\chi_{ 647 } ( 445, ·)\) \(\chi_{ 647 } ( 67, ·)\) \(\chi_{ 647 } ( 1, ·)\) \(\chi_{ 647 } ( 293, ·)\) \(\chi_{ 647 } ( 607, ·)\) \(\chi_{ 647 } ( 555, ·)\) \(\chi_{ 647 } ( 300, ·)\)