Group of Dirichlet characters

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

$K$ is the global number field defined by \( x^{16} - 11 x^{14} + 96 x^{12} - 781 x^{10} + 6191 x^{8} - 19525 x^{6} + 60000 x^{4} - 171875 x^{2} + 390625 \)

$\times$	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(1, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(209, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)
\(\chi_{ 420 }(337, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)
\(\chi_{ 420 }(83, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)
\(\chi_{ 420 }(251, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)
\(\chi_{ 420 }(419, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)
\(\chi_{ 420 }(293, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)
\(\chi_{ 420 }(167, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)
\(\chi_{ 420 }(41, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)
\(\chi_{ 420 }(43, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)
\(\chi_{ 420 }(211, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)
\(\chi_{ 420 }(169, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)
\(\chi_{ 420 }(377, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(379, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)
\(\chi_{ 420 }(253, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)
\(\chi_{ 420 }(127, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)