Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 12.731...449.18t218.a.a |
$12$ |
$ 1489^{5}$ |
$1$ |
9.5.4915625528641.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.567...443.18t218.a.a |
$12$ |
$ 2243^{5}$ |
$1$ |
9.1.25311454040401.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.162...607.18t218.a.a |
$12$ |
$ 2767^{5}$ |
$1$ |
9.1.58618761251521.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.889...449.18t218.a.a |
$12$ |
$ 3889^{5}$ |
$1$ |
9.5.228745085711041.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.102...001.18t218.a.a |
$12$ |
$ 4001^{5}$ |
$1$ |
9.5.256256096016001.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.431...893.18t218.a.a |
$12$ |
$ 5333^{5}$ |
$1$ |
9.5.808884167110321.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.623...701.18t218.a.a |
$12$ |
$ 5741^{5}$ |
$1$ |
9.5.1086301020364561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.141...043.18t218.a.a |
$12$ |
$ 6763^{5}$ |
$1$ |
9.1.2091980103472561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.249...093.18t218.a.a |
$12$ |
$ 7573^{5}$ |
$1$ |
9.5.3289060236408241.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.353...843.18t218.a.a |
$12$ |
$ 8123^{5}$ |
$1$ |
9.1.4353773312630641.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.770...451.18t218.a.a |
$12$ |
$ 9491^{5}$ |
$1$ |
9.1.8114240833804561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.161...243.18t218.a.a |
$12$ |
$ 11003^{5}$ |
$1$ |
9.1.14656978535188081.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$2$ |
| 12.294...049.18t218.a.a |
$12$ |
$ 12409^{5}$ |
$1$ |
9.5.23710850827524961.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.162...329.36t1123.a.a |
$12$ |
$ 1489^{7}$ |
$1$ |
9.5.4915625528641.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.285...707.36t1123.a.a |
$12$ |
$ 2243^{7}$ |
$1$ |
9.1.25311454040401.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.895...531.110.a.a 12.895...531.110.a.b |
$12$ |
$ 11^{23}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
110 |
$1$ |
$-2$ |
| 12.895...531.55.a.a 12.895...531.55.a.b |
$12$ |
$ 11^{23}$ |
$1$ |
12.2.7400249944258160101211.1 |
$\PGL(2,11)$ |
$\PGL(2,11)$ |
55 |
$1$ |
$2$ |
| 12.124...423.36t1123.a.a |
$12$ |
$ 2767^{7}$ |
$1$ |
9.1.58618761251521.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.134...129.36t1123.a.a |
$12$ |
$ 3889^{7}$ |
$1$ |
9.5.228745085711041.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.164...001.36t1123.a.a |
$12$ |
$ 4001^{7}$ |
$1$ |
9.5.256256096016001.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.122...877.36t1123.a.a |
$12$ |
$ 5333^{7}$ |
$1$ |
9.5.808884167110321.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.205...781.36t1123.a.a |
$12$ |
$ 5741^{7}$ |
$1$ |
9.5.1086301020364561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.647...267.36t1123.a.a |
$12$ |
$ 6763^{7}$ |
$1$ |
9.1.2091980103472561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.142...597.36t1123.a.a |
$12$ |
$ 7573^{7}$ |
$1$ |
9.5.3289060236408241.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.233...747.36t1123.a.a |
$12$ |
$ 8123^{7}$ |
$1$ |
9.1.4353773312630641.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.693...531.36t1123.a.a |
$12$ |
$ 9491^{7}$ |
$1$ |
9.1.8114240833804561.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.195...187.36t1123.a.a |
$12$ |
$ 11003^{7}$ |
$1$ |
9.1.14656978535188081.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$-2$ |
| 12.453...769.36t1123.a.a |
$12$ |
$ 12409^{7}$ |
$1$ |
9.5.23710850827524961.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
| 12.175...449.55.a.a 12.175...449.55.a.b |
$12$ |
$ 74843^{6}$ |
$1$ |
11.11.31376518243389673201.2 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$12$ |
| 12.449...809.55.a.a 12.449...809.55.a.b |
$12$ |
$ 5963263^{6}$ |
$1$ |
11.3.1264549559037497889344194561.1 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$0$ |
| 12.402...161.55.a.a 12.402...161.55.a.b |
$12$ |
$ 126127861^{6}$ |
$1$ |
11.3.253072014643291161956948944373041.2 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$0$ |
| 12.951...889.55.a.a 12.951...889.55.a.b |
$12$ |
$ 991677977^{6}$ |
$1$ |
11.3.967125143794954350729376094031375841.1 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$0$ |
| 12.153...649.55.a.a 12.153...649.55.a.b |
$12$ |
$ 3397839493^{6}$ |
$1$ |
11.3.133294257352305464596417664685677708401.1 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$0$ |
| 12.861...489.55.a.a 12.861...489.55.a.b |
$12$ |
$ 308478717277^{6}$ |
$1$ |
11.3.9055257931304281266486692410521177999349183441.2 |
$\PSL(2,11)$ |
$\PSL(2,11)$ |
55 |
$1$ |
$0$ |
