Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 16.659...729.24t1334.a.a |
$16$ |
$ 3^{26} \cdot 11^{10}$ |
$2$ |
9.3.2824440448203.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.393...824.24t1334.a.a |
$16$ |
$ 2^{34} \cdot 3^{28}$ |
$2$ |
9.3.940369969152.3 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.604...088.17t5.a.a |
$16$ |
$ 2^{79}$ |
$1$ |
17.1.604462909807314587353088.1 |
$F_{17}$ |
$F_{17}$ |
$F_{17}$ |
$1$ |
$0$ |
| 16.802...000.24t1334.a.a |
$16$ |
$ 2^{34} \cdot 3^{14} \cdot 5^{10}$ |
$3$ |
9.3.2239488000000.3 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.111...616.24t1334.a.a |
$16$ |
$ 2^{26} \cdot 3^{34}$ |
$2$ |
9.3.4760622968832.3 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.206...456.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{14} \cdot 29^{10}$ |
$3$ |
9.3.83256230593728.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.303...929.24t1334.a.a |
$16$ |
$ 3^{18} \cdot 97^{8}$ |
$2$ |
9.3.17964142659.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.392...625.24t1334.a.a |
$16$ |
$ 3^{18} \cdot 5^{8} \cdot 11^{10}$ |
$3$ |
9.3.21793521976875.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.512...721.24t1334.a.a |
$16$ |
$ 3^{26} \cdot 17^{10}$ |
$2$ |
9.3.38483081420787.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.534...049.24t1334.a.a |
$16$ |
$ 3^{30} \cdot 11^{10}$ |
$2$ |
9.3.25419964033827.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.534...049.24t1334.b.a |
$16$ |
$ 3^{30} \cdot 11^{10}$ |
$2$ |
9.3.2824440448203.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.535...625.24t2912.a.a |
$16$ |
$ 5^{12} \cdot 23^{12}$ |
$2$ |
9.1.874503125.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.536...144.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{8} \cdot 19^{14}$ |
$3$ |
9.3.4633831094976.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.571...000.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{28} \cdot 5^{12}$ |
$3$ |
9.3.14348907000000.10 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.573...744.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 523^{8}$ |
$2$ |
9.3.9155562688.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.624...096.36t1252.b.a |
$16$ |
$ 2^{36} \cdot 3^{8} \cdot 7^{12}$ |
$3$ |
6.2.3687936.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.734...504.24t1334.a.a |
$16$ |
$ 2^{26} \cdot 3^{18} \cdot 7^{10}$ |
$3$ |
9.3.9485046853632.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.832...816.24t1334.a.a |
$16$ |
$ 2^{26} \cdot 3^{14} \cdot 11^{10}$ |
$3$ |
9.3.15869558403072.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.891...000.36t1252.b.a |
$16$ |
$ 2^{36} \cdot 3^{12} \cdot 5^{12}$ |
$3$ |
6.2.1036800.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.131...625.24t1334.a.a |
$16$ |
$ 3^{38} \cdot 5^{10}$ |
$2$ |
9.3.224201671875.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.136...104.24t1334.a.a |
$16$ |
$ 2^{22} \cdot 71^{10}$ |
$2$ |
9.3.131174690735104.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.138...984.24t2912.a.a |
$16$ |
$ 2^{42} \cdot 11^{12}$ |
$2$ |
9.1.1319329792.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.152...561.24t2912.a.a |
$16$ |
$ 3^{16} \cdot 29^{12}$ |
$2$ |
9.1.134573648589.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.155...769.24t1334.a.a |
$16$ |
$ 3^{14} \cdot 71^{10}$ |
$2$ |
9.3.280155320935227.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.167...000.36t1252.a.a |
$16$ |
$ 2^{42} \cdot 5^{18}$ |
$2$ |
6.2.6400000.4 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.182...896.24t1334.a.a |
$16$ |
$ 2^{26} \cdot 3^{8} \cdot 23^{10}$ |
$3$ |
9.3.16371585036288.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.192...736.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{14} \cdot 89^{8}$ |
$3$ |
9.3.98673100992.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.198...384.24t1334.a.a |
$16$ |
$ 2^{46} \cdot 3^{24}$ |
$2$ |
9.3.82556485632.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.212...304.24t2912.a.a |
$16$ |
$ 2^{34} \cdot 7^{8} \cdot 11^{8}$ |
$3$ |
9.1.5877014528.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.232...704.24t1334.a.a |
$16$ |
$ 2^{34} \cdot 3^{14} \cdot 7^{10}$ |
$3$ |
9.3.16862305517568.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.383...016.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{14} \cdot 97^{8}$ |
$3$ |
9.3.127745014464.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.388...944.24t1334.a.a |
$16$ |
$ 2^{48} \cdot 13^{10}$ |
$2$ |
9.3.20245104295936.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.418...416.24t2912.a.a |
$16$ |
$ 2^{24} \cdot 3^{8} \cdot 11^{14}$ |
$3$ |
9.1.164627620608.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.447...864.24t2912.a.a |
$16$ |
$ 2^{44} \cdot 3^{26}$ |
$2$ |
9.1.13060694016.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.450...000.24t1334.a.a |
$16$ |
$ 2^{62} \cdot 5^{10}$ |
$2$ |
9.3.33554432000000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.525...625.24t1334.a.a |
$16$ |
$ 3^{8} \cdot 5^{10} \cdot 31^{10}$ |
$3$ |
9.3.374415615421875.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.544...000.36t1252.a.a |
$16$ |
$ 2^{12} \cdot 3^{20} \cdot 5^{18}$ |
$3$ |
6.2.9112500.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.555...881.24t1334.a.a |
$16$ |
$ 3^{14} \cdot 7^{8} \cdot 17^{10}$ |
$3$ |
9.3.126746061030603.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.565...656.24t2912.a.a |
$16$ |
$ 2^{38} \cdot 3^{30}$ |
$2$ |
9.1.58773123072.1 |
$S_3\wr S_3$ |
$C_3^3.S_4.C_2$ |
$C_3^3.S_4.C_2$ |
$1$ |
$0$ |
| 16.640...000.36t1252.a.a |
$16$ |
$ 2^{30} \cdot 5^{24}$ |
$2$ |
6.2.12500000.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.641...936.36t1252.b.a |
$16$ |
$ 2^{24} \cdot 3^{8} \cdot 17^{12}$ |
$3$ |
6.4.16036032.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.652...281.24t1334.a.a |
$16$ |
$ 3^{18} \cdot 17^{14}$ |
$2$ |
9.3.475099770627.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.101...625.24t1334.a.a |
$16$ |
$ 3^{34} \cdot 5^{14}$ |
$2$ |
9.3.18160335421875.5 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.129...000.36t1252.a.a |
$16$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{24}$ |
$3$ |
6.2.25312500.1 |
$S_6$ |
$S_6$ |
$S_6$ |
$1$ |
$0$ |
| 16.133...504.17t6.a.a |
$16$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$1$ |
$0$ |
| 16.146...000.24t1334.a.a |
$16$ |
$ 2^{32} \cdot 3^{20} \cdot 5^{10}$ |
$3$ |
9.3.2239488000000.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.158...000.24t1334.a.a |
$16$ |
$ 2^{26} \cdot 3^{18} \cdot 5^{14}$ |
$3$ |
9.3.1259712000000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.166...936.24t1334.a.a |
$16$ |
$ 2^{10} \cdot 3^{18} \cdot 29^{10}$ |
$3$ |
9.3.749306075343552.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.166...936.24t1334.b.a |
$16$ |
$ 2^{10} \cdot 3^{18} \cdot 29^{10}$ |
$3$ |
9.3.749306075343552.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
| 16.182...281.24t1334.a.a |
$16$ |
$ 3^{28} \cdot 41^{8}$ |
$2$ |
9.3.988941019347.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$\AGL(2,3)$ |
$\AGL(2,3)$ |
$1$ |
$0$ |
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