Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 8.101...601.12t213.a.a |
$8$ |
$ 3^{6} \cdot 7^{6} \cdot 109^{2}$ |
$3$ |
9.1.12341068212501.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.102...000.18t157.a.a |
$8$ |
$ 2^{10} \cdot 3^{13} \cdot 5^{4}$ |
$3$ |
9.3.1020366720000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.102...000.9t26.a.a |
$8$ |
$ 2^{10} \cdot 3^{13} \cdot 5^{4}$ |
$3$ |
9.3.1020366720000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.105...848.18t68.a.a |
$8$ |
$ 2^{12} \cdot 3^{7} \cdot 7^{6}$ |
$3$ |
9.3.1053894094848.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$F_9:C_2$ |
$1$ |
$-2$ |
| 8.105...848.9t19.a.a |
$8$ |
$ 2^{12} \cdot 3^{7} \cdot 7^{6}$ |
$3$ |
9.3.1053894094848.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.105...625.12t176.a.a |
$8$ |
$ 3^{10} \cdot 5^{4} \cdot 13^{4}$ |
$3$ |
9.7.475030407735.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.105...625.12t178.a.a |
$8$ |
$ 3^{10} \cdot 5^{4} \cdot 13^{4}$ |
$3$ |
9.1.1403336390625.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.108...000.12t178.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ |
$4$ |
9.5.34758099360000.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.108...000.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ |
$4$ |
9.1.156411447120.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.108...000.24t2893.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ |
$4$ |
9.1.156411447120.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.112...776.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2}$ |
$4$ |
9.1.46878144768.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.113...000.21t14.a.a |
$8$ |
$ 2^{10} \cdot 5^{4} \cdot 11^{6}$ |
$3$ |
7.3.2834497600.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.114...000.9t19.a.a |
$8$ |
$ 2^{22} \cdot 3^{7} \cdot 5^{3}$ |
$3$ |
9.3.1146617856000.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.118...736.12t178.a.a |
$8$ |
$ 2^{6} \cdot 3^{6} \cdot 71^{4}$ |
$3$ |
9.1.664071871846464.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.118...929.12t176.a.a |
$8$ |
$ 3^{10} \cdot 67^{4}$ |
$2$ |
9.7.1780492336232427.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.119...208.18t157.a.a |
$8$ |
$ 2^{10} \cdot 3^{19}$ |
$2$ |
9.3.1190155742208.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.119...208.9t26.a.a |
$8$ |
$ 2^{10} \cdot 3^{19}$ |
$2$ |
9.3.1190155742208.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.119...000.12t178.a.a |
$8$ |
$ 2^{4} \cdot 3^{14} \cdot 5^{6}$ |
$3$ |
9.5.15496819560000.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.123...984.12t213.a.a |
$8$ |
$ 2^{6} \cdot 31^{2} \cdot 67^{4}$ |
$3$ |
9.1.127743808.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.125...536.12t176.a.a |
$8$ |
$ 2^{18} \cdot 3^{14}$ |
$2$ |
9.5.198359290368.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
| 8.125...536.12t177.a.a |
$8$ |
$ 2^{18} \cdot 3^{14}$ |
$2$ |
9.1.176319369216.2 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.125...536.12t213.a.a |
$8$ |
$ 2^{18} \cdot 3^{14}$ |
$2$ |
9.1.297538935552.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.125...536.24t2893.a.a |
$8$ |
$ 2^{18} \cdot 3^{14}$ |
$2$ |
9.1.58773123072.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.125...000.18t157.a.a |
$8$ |
$ 2^{12} \cdot 3^{9} \cdot 5^{6}$ |
$3$ |
9.3.1259712000000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.125...000.9t26.a.a |
$8$ |
$ 2^{12} \cdot 3^{9} \cdot 5^{6}$ |
$3$ |
9.3.1259712000000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.131...328.9t19.a.a |
$8$ |
$ 2^{28} \cdot 17^{3}$ |
$2$ |
9.3.1318823395328.1 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.134...176.12t177.a.a |
$8$ |
$ 2^{8} \cdot 269^{4}$ |
$2$ |
9.5.1340445266176.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.134...176.12t178.a.a |
$8$ |
$ 2^{8} \cdot 269^{4}$ |
$2$ |
9.5.1340445266176.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.134...000.18t157.a.a |
$8$ |
$ 2^{31} \cdot 5^{4}$ |
$2$ |
9.3.1342177280000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.134...000.9t26.a.a |
$8$ |
$ 2^{31} \cdot 5^{4}$ |
$2$ |
9.3.1342177280000.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.134...491.9t26.a.a |
$8$ |
$ 11^{7} \cdot 41^{3}$ |
$2$ |
9.3.1343075312491.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
| 8.136...000.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.73466403840.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.136...000.12t213.b.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.3587226750000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.136...000.12t213.c.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.367332019200.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.136...000.12t213.d.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.314928000000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.136...000.12t213.e.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.9183300480000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.136...000.24t2893.a.a |
$8$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{4}$ |
$3$ |
9.1.314928000000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.139...747.9t19.a.a |
$8$ |
$ 3^{3} \cdot 61^{6}$ |
$2$ |
9.3.1391050107747.2 |
$(C_3^2:C_8):C_2$ |
$F_9:C_2$ |
$(C_3^2:C_8):C_2$ |
$1$ |
$2$ |
| 8.140...400.12t213.a.a |
$8$ |
$ 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6}$ |
$4$ |
9.1.18507528000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.141...000.12t178.a.a |
$8$ |
$ 2^{4} \cdot 5^{4} \cdot 109^{4}$ |
$3$ |
9.5.67084004433640000.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.141...000.12t178.a.a |
$8$ |
$ 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4}$ |
$4$ |
9.1.137225793600.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.142...881.12t177.a.a |
$8$ |
$ 3^{10} \cdot 17^{6}$ |
$2$ |
9.1.5085327174489.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.146...624.12t177.a.a |
$8$ |
$ 2^{6} \cdot 389^{4}$ |
$2$ |
9.5.5861899530496.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.147...144.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 53^{4}$ |
$3$ |
9.3.1378800577112832.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.147...144.24t2893.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 53^{4}$ |
$3$ |
9.3.1378800577112832.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.147...000.12t213.a.a |
$8$ |
$ 2^{6} \cdot 3^{10} \cdot 5^{8}$ |
$3$ |
9.7.318864600000000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.150...369.12t178.a.a |
$8$ |
$ 3^{10} \cdot 71^{4}$ |
$2$ |
9.1.93385106978409.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 8.150...696.12t213.a.a |
$8$ |
$ 2^{6} \cdot 43^{4} \cdot 83^{2}$ |
$3$ |
9.1.1573557824.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
| 8.152...752.18t157.a.a |
$8$ |
$ 2^{4} \cdot 3^{9} \cdot 13^{6}$ |
$3$ |
9.3.1520097304752.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
| 8.152...752.9t26.a.a |
$8$ |
$ 2^{4} \cdot 3^{9} \cdot 13^{6}$ |
$3$ |
9.3.1520097304752.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
