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-582" raw="x^17 - x^16 - 144*x^15 + 241*x^14 + 6894*x^13 - 14938*x^12 - 127923*x^11 + 323969*x^10 + 847982*x^9 - 2194186*x^8 - 2617873*x^7 + 6091397*x^6 + 3745755*x^5 - 7069429*x^4 - 1600190*x^3 + 3100257*x^2 - 220118*x - 208777" israw="0" ondblclick="ondouble(582)">\(x^{17} - x^{16} - 144 x^{15} + 241 x^{14} + 6894 x^{13} - 14938 x^{12} - 127923 x^{11} + 323969 x^{10} + 847982 x^{9} - 2194186 x^{8} - 2617873 x^{7} + 6091397 x^{6} + 3745755 x^{5} - 7069429 x^{4} - 1600190 x^{3} + 3100257 x^{2} - 220118 x - 208777\)</span>&nbsp;&nbsp;<span onclick="iconrawtset(582)"><img alt="Toggle raw display" src="/static/images/t2r.png" class="tset-icon" id="tset-raw-icon-582" style="position:relative;top: 2px"></span></span>

$\times$ \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 115, ·)\)
\(\chi_{ 307 }(1, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 115, ·)\)
\(\chi_{ 307 }(64, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 299, ·)\)
\(\chi_{ 307 }(235, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 9, ·)\)
\(\chi_{ 307 }(9, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 114, ·)\)
\(\chi_{ 307 }(269, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 235, ·)\)
\(\chi_{ 307 }(272, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 273, ·)\)
\(\chi_{ 307 }(81, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 105, ·)\)
\(\chi_{ 307 }(24, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 304, ·)\)
\(\chi_{ 307 }(216, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 280, ·)\)
\(\chi_{ 307 }(280, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 272, ·)\)
\(\chi_{ 307 }(102, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 64, ·)\)
\(\chi_{ 307 }(273, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 81, ·)\)
\(\chi_{ 307 }(105, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 102, ·)\)
\(\chi_{ 307 }(299, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 1, ·)\)
\(\chi_{ 307 }(304, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 269, ·)\)
\(\chi_{ 307 }(114, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 24, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 216, ·)\)
\(\chi_{ 307 }(115, ·)\) \(\chi_{ 307 } ( 115, ·)\) \(\chi_{ 307 } ( 299, ·)\) \(\chi_{ 307 } ( 9, ·)\) \(\chi_{ 307 } ( 114, ·)\) \(\chi_{ 307 } ( 235, ·)\) \(\chi_{ 307 } ( 273, ·)\) \(\chi_{ 307 } ( 105, ·)\) \(\chi_{ 307 } ( 304, ·)\) \(\chi_{ 307 } ( 280, ·)\) \(\chi_{ 307 } ( 272, ·)\) \(\chi_{ 307 } ( 64, ·)\) \(\chi_{ 307 } ( 81, ·)\) \(\chi_{ 307 } ( 102, ·)\) \(\chi_{ 307 } ( 1, ·)\) \(\chi_{ 307 } ( 269, ·)\) \(\chi_{ 307 } ( 216, ·)\) \(\chi_{ 307 } ( 24, ·)\)