Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 8.1546691584.12t213.a.a |
$8$ |
$ 2^{10} \cdot 1229^{2}$ |
$2$ |
9.3.118805247296.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.4079632384.12t213.a.a |
$8$ |
$ 2^{14} \cdot 499^{2}$ |
$2$ |
9.1.7952095936.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.6591978481.12t213.a.a |
$8$ |
$ 11^{6} \cdot 61^{2}$ |
$2$ |
9.1.3323228821.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.7953250761.12t213.a.a |
$8$ |
$ 3^{10} \cdot 367^{2}$ |
$2$ |
9.3.36035099127.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.9120059001.12t213.a.a |
$8$ |
$ 3^{12} \cdot 131^{2}$ |
$2$ |
9.1.32257648686537.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.9155562688.9t26.a.a |
$8$ |
$ 2^{6} \cdot 523^{3}$ |
$2$ |
9.3.9155562688.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.9306653841.12t213.a.a |
$8$ |
$ 3^{10} \cdot 397^{2}$ |
$2$ |
9.1.45614093517.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.11670913024.12t213.a.a |
$8$ |
$ 2^{18} \cdot 211^{2}$ |
$2$ |
9.1.2404846336.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.12408177664.12t178.a.a |
$8$ |
$ 2^{10} \cdot 59^{4}$ |
$2$ |
9.1.43192866448384.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.15479341056.12t213.a.a |
$8$ |
$ 2^{18} \cdot 3^{10}$ |
$2$ |
9.1.13060694016.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.16836267547.9t26.a.a |
$8$ |
$ 11^{3} \cdot 233^{3}$ |
$2$ |
9.3.16836267547.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.16912482304.12t213.a.a |
$8$ |
$ 2^{20} \cdot 127^{2}$ |
$2$ |
9.3.67121414144.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.17256481947.18t157.a.a |
$8$ |
$ 3^{7} \cdot 53^{4}$ |
$2$ |
9.3.17256481947.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.17256481947.9t26.a.a |
$8$ |
$ 3^{7} \cdot 53^{4}$ |
$2$ |
9.3.17256481947.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.17964142659.9t26.a.a |
$8$ |
$ 3^{9} \cdot 97^{3}$ |
$2$ |
9.3.17964142659.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.27869297481.12t213.a.a |
$8$ |
$ 3^{12} \cdot 229^{2}$ |
$2$ |
9.7.236372930487.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.35101146609.12t213.a.a |
$8$ |
$ 3^{12} \cdot 257^{2}$ |
$2$ |
9.7.334110914019.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.36889110963.18t157.a.a |
$8$ |
$ 3^{9} \cdot 37^{4}$ |
$2$ |
9.3.36889110963.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.36889110963.9t26.a.a |
$8$ |
$ 3^{9} \cdot 37^{4}$ |
$2$ |
9.3.36889110963.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.40575253489.12t213.a.a |
$8$ |
$ 17^{6} \cdot 41^{2}$ |
$2$ |
9.5.5756350841.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.42786095104.12t213.a.a |
$8$ |
$ 2^{22} \cdot 101^{2}$ |
$2$ |
9.1.16880451584.2 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.50054665441.12t176.a.a |
$8$ |
$ 11^{4} \cdot 43^{4}$ |
$2$ |
9.3.69534993539.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.59273381699.9t26.a.a |
$8$ |
$ 7^{3} \cdot 557^{3}$ |
$2$ |
9.3.59273381699.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.60523872256.12t176.a.a |
$8$ |
$ 2^{16} \cdot 31^{4}$ |
$2$ |
9.3.28400117792.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.67292260083.9t26.a.a |
$8$ |
$ 3^{9} \cdot 43^{4}$ |
$2$ |
9.3.67292260083.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.68184176641.12t176.a.a |
$8$ |
$ 7^{4} \cdot 73^{4}$ |
$2$ |
9.3.1059339584023.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.71579256849.12t213.a.a |
$8$ |
$ 3^{12} \cdot 367^{2}$ |
$2$ |
9.1.1334633301.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.72313663744.9t32.a.a |
$8$ |
$ 2^{8} \cdot 7^{10}$ |
$2$ |
9.1.72313663744.1 |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
${}^2G(2,3)$ |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
$1$ |
$0$ |
| 8.72361538001.12t213.a.a |
$8$ |
$ 3^{16} \cdot 41^{2}$ |
$2$ |
9.1.26701407522369.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.72361538001.12t213.b.a |
$8$ |
$ 3^{16} \cdot 41^{2}$ |
$2$ |
9.1.2966823058041.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.82556485632.9t26.a.a |
$8$ |
$ 2^{22} \cdot 3^{9}$ |
$2$ |
9.3.82556485632.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.83702510811.9t26.a.a |
$8$ |
$ 3^{7} \cdot 337^{3}$ |
$2$ |
9.3.83702510811.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.84573945856.12t213.a.a |
$8$ |
$ 2^{24} \cdot 71^{2}$ |
$2$ |
9.3.23456055296.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.99179645184.12t178.a.a |
$8$ |
$ 2^{8} \cdot 3^{18}$ |
$2$ |
9.1.8033551259904.6 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.104608905489.12t213.a.a |
$8$ |
$ 3^{10} \cdot 11^{6}$ |
$2$ |
9.1.31068844930233.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.139314069504.12t213.a.a |
$8$ |
$ 2^{18} \cdot 3^{12}$ |
$2$ |
9.1.58773123072.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.151588750336.12t177.a.a |
$8$ |
$ 2^{10} \cdot 23^{6}$ |
$2$ |
9.1.80190448927744.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.162590400625.12t176.a.a |
$8$ |
$ 5^{4} \cdot 127^{4}$ |
$2$ |
9.5.20979364573445.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.173946175488.9t15.a.a |
$8$ |
$ 2^{31} \cdot 3^{4}$ |
$2$ |
9.1.173946175488.1 |
$C_3^2:C_8$ |
$F_9$ |
$C_3^2:C_8$ |
$1$ |
$0$ |
| 8.176004726784.9t26.a.a |
$8$ |
$ 2^{16} \cdot 139^{3}$ |
$2$ |
9.3.176004726784.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.176319369216.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{16}$ |
$2$ |
9.1.167365651248.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.176319369216.12t213.b.a |
$8$ |
$ 2^{12} \cdot 3^{16}$ |
$2$ |
9.1.10711401679872.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.176319369216.12t213.c.a |
$8$ |
$ 2^{12} \cdot 3^{16}$ |
$2$ |
9.1.1190155742208.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.185409470464.12t213.a.a |
$8$ |
$ 2^{18} \cdot 29^{4}$ |
$2$ |
9.3.4872792645632.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.187570506627.18t68.a.a |
$8$ |
$ 3^{13} \cdot 7^{6}$ |
$2$ |
9.3.187570506627.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$F_9:C_2$ |
$1$ |
$-2$ |
| 8.187570506627.9t19.a.a |
$8$ |
$ 3^{13} \cdot 7^{6}$ |
$2$ |
9.3.187570506627.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.204128387072.9t19.a.a |
$8$ |
$ 2^{24} \cdot 23^{3}$ |
$2$ |
9.3.204128387072.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.210082347387.18t157.a.a |
$8$ |
$ 3^{15} \cdot 11^{4}$ |
$2$ |
9.3.210082347387.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.210082347387.9t26.a.a |
$8$ |
$ 3^{15} \cdot 11^{4}$ |
$2$ |
9.3.210082347387.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.224201671875.18t157.a.a |
$8$ |
$ 3^{15} \cdot 5^{6}$ |
$2$ |
9.3.224201671875.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
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