Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} + 5 x^{14} + 24 x^{12} + 115 x^{10} + 551 x^{8} + 115 x^{6} + 24 x^{4} + 5 x^{2} + 1 \)
$\times$ | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 253, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 420 }(1, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 253, ·)\) |
\(\chi_{ 420 }(323, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 239, ·)\) |
\(\chi_{ 420 }(391, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 223, ·)\) |
\(\chi_{ 420 }(139, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 307, ·)\) |
\(\chi_{ 420 }(209, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 377, ·)\) |
\(\chi_{ 420 }(407, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 71, ·)\) |
\(\chi_{ 420 }(223, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 139, ·)\) |
\(\chi_{ 420 }(293, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 209, ·)\) |
\(\chi_{ 420 }(337, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 1, ·)\) |
\(\chi_{ 420 }(169, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 337, ·)\) |
\(\chi_{ 420 }(71, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 323, ·)\) |
\(\chi_{ 420 }(239, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 407, ·)\) |
\(\chi_{ 420 }(307, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 391, ·)\) |
\(\chi_{ 420 }(41, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 293, ·)\) |
\(\chi_{ 420 }(377, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 41, ·)\) |
\(\chi_{ 420 }(253, ·)\) | \(\chi_{ 420 } ( 253, ·)\) | \(\chi_{ 420 } ( 239, ·)\) | \(\chi_{ 420 } ( 223, ·)\) | \(\chi_{ 420 } ( 307, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 71, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 209, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 337, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 41, ·)\) | \(\chi_{ 420 } ( 169, ·)\) |