Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 6.13778944.8t45.a.a |
$6$ |
$ 2^{14} \cdot 29^{2}$ |
$2$ |
8.0.55115776.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.43137792.8t45.a.a |
$6$ |
$ 2^{8} \cdot 3^{3} \cdot 79^{2}$ |
$3$ |
8.0.129413376.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.53526528.12t161.a.a |
$6$ |
$ 2^{14} \cdot 3^{3} \cdot 11^{2}$ |
$3$ |
8.4.642318336.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.53526528.8t45.a.a |
$6$ |
$ 2^{14} \cdot 3^{3} \cdot 11^{2}$ |
$3$ |
8.4.642318336.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.59270400.12t161.a.a |
$6$ |
$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3}$ |
$4$ |
8.4.1244678400.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.59270400.8t45.a.a |
$6$ |
$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3}$ |
$4$ |
8.4.1244678400.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.69337088.8t45.a.a |
$6$ |
$ 2^{17} \cdot 23^{2}$ |
$2$ |
8.4.554696704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.74649600.8t45.a.a |
$6$ |
$ 2^{12} \cdot 3^{6} \cdot 5^{2}$ |
$3$ |
8.0.298598400.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.83232000.8t45.a.a |
$6$ |
$ 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 17^{2}$ |
$4$ |
8.4.416160000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.103058000.8t45.a.a |
$6$ |
$ 2^{4} \cdot 5^{3} \cdot 227^{2}$ |
$3$ |
8.4.515290000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.113799168.12t161.a.a |
$6$ |
$ 2^{12} \cdot 3^{4} \cdot 7^{3}$ |
$3$ |
8.4.3186376704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.113799168.8t45.a.a |
$6$ |
$ 2^{12} \cdot 3^{4} \cdot 7^{3}$ |
$3$ |
8.4.3186376704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.143648000.8t45.a.a |
$6$ |
$ 2^{8} \cdot 5^{3} \cdot 67^{2}$ |
$3$ |
8.4.718240000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.144722000.8t45.a.a |
$6$ |
$ 2^{4} \cdot 5^{3} \cdot 269^{2}$ |
$3$ |
8.0.723610000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$-2$ |
| 6.152409600.8t45.a.a |
$6$ |
$ 2^{9} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2}$ |
$4$ |
8.4.3657830400.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.160563200.8t45.a.a |
$6$ |
$ 2^{17} \cdot 5^{2} \cdot 7^{2}$ |
$3$ |
8.4.1284505600.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.165888000.12t161.a.a |
$6$ |
$ 2^{14} \cdot 3^{4} \cdot 5^{3}$ |
$3$ |
8.0.3317760000.17 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
| 6.165888000.8t45.a.a |
$6$ |
$ 2^{14} \cdot 3^{4} \cdot 5^{3}$ |
$3$ |
8.0.3317760000.17 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.181398528.8t45.a.a |
$6$ |
$ 2^{10} \cdot 3^{11}$ |
$2$ |
8.0.544195584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.186704896.8t45.a.a |
$6$ |
$ 2^{10} \cdot 7^{2} \cdot 61^{2}$ |
$3$ |
8.0.746819584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.189267968.8t45.a.a |
$6$ |
$ 2^{19} \cdot 19^{2}$ |
$2$ |
8.4.1514143744.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.196830000.8t45.a.a |
$6$ |
$ 2^{4} \cdot 3^{9} \cdot 5^{4}$ |
$3$ |
8.0.590490000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.220463104.12t161.a.a |
$6$ |
$ 2^{18} \cdot 29^{2}$ |
$2$ |
8.0.55115776.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
| 6.231211008.8t45.a.a |
$6$ |
$ 2^{19} \cdot 3^{2} \cdot 7^{2}$ |
$3$ |
8.4.1849688064.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.248020992.8t45.a.a |
$6$ |
$ 2^{15} \cdot 3^{2} \cdot 29^{2}$ |
$3$ |
8.4.1984167936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.250838208.8t45.a.a |
$6$ |
$ 2^{6} \cdot 3^{5} \cdot 127^{2}$ |
$3$ |
8.0.752514624.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.262479872.8t45.a.a |
$6$ |
$ 2^{13} \cdot 179^{2}$ |
$2$ |
8.4.2099838976.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.268393500.8t45.a.a |
$6$ |
$ 2^{2} \cdot 3^{5} \cdot 5^{3} \cdot 47^{2}$ |
$4$ |
8.0.4025902500.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.276889600.8t45.a.a |
$6$ |
$ 2^{16} \cdot 5^{2} \cdot 13^{2}$ |
$3$ |
8.0.1107558400.13 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.277348352.12t161.a.a |
$6$ |
$ 2^{19} \cdot 23^{2}$ |
$2$ |
8.4.8875147264.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.277348352.12t161.b.a |
$6$ |
$ 2^{19} \cdot 23^{2}$ |
$2$ |
8.4.8875147264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.277348352.12t161.c.a |
$6$ |
$ 2^{19} \cdot 23^{2}$ |
$2$ |
8.4.554696704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.297526528.8t45.a.a |
$6$ |
$ 2^{8} \cdot 13^{3} \cdot 23^{2}$ |
$3$ |
8.4.3867844864.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.298598400.8t45.a.a |
$6$ |
$ 2^{14} \cdot 3^{6} \cdot 5^{2}$ |
$3$ |
8.0.1194393600.5 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.309737763.8t45.a.a |
$6$ |
$ 3^{5} \cdot 1129^{2}$ |
$2$ |
8.0.929213289.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.317694976.8t45.a.a |
$6$ |
$ 2^{10} \cdot 557^{2}$ |
$2$ |
8.0.1270779904.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.322486272.12t161.a.a |
$6$ |
$ 2^{14} \cdot 3^{9}$ |
$2$ |
8.4.3869835264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.322486272.8t45.a.a |
$6$ |
$ 2^{14} \cdot 3^{9}$ |
$2$ |
8.4.3869835264.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.322486272.8t45.b.a |
$6$ |
$ 2^{14} \cdot 3^{9}$ |
$2$ |
8.4.3869835264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.353894400.12t161.a.a |
$6$ |
$ 2^{19} \cdot 3^{3} \cdot 5^{2}$ |
$3$ |
8.4.8493465600.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.353894400.8t45.a.a |
$6$ |
$ 2^{19} \cdot 3^{3} \cdot 5^{2}$ |
$3$ |
8.4.8493465600.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.368181248.8t45.a.a |
$6$ |
$ 2^{17} \cdot 53^{2}$ |
$2$ |
8.4.2945449984.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.382205952.8t45.a.a |
$6$ |
$ 2^{19} \cdot 3^{6}$ |
$2$ |
8.4.3057647616.4 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.423200000.8t45.a.a |
$6$ |
$ 2^{8} \cdot 5^{5} \cdot 23^{2}$ |
$3$ |
8.4.2116000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.456261632.8t45.a.a |
$6$ |
$ 2^{17} \cdot 59^{2}$ |
$2$ |
8.4.3650093056.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.520224768.12t161.a.a |
$6$ |
$ 2^{17} \cdot 3^{4} \cdot 7^{2}$ |
$3$ |
8.4.37456183296.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-2$ |
| 6.520224768.8t45.a.a |
$6$ |
$ 2^{17} \cdot 3^{4} \cdot 7^{2}$ |
$3$ |
8.0.4161798144.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
| 6.583200000.8t45.a.a |
$6$ |
$ 2^{8} \cdot 3^{6} \cdot 5^{5}$ |
$3$ |
8.4.2916000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.583200000.8t45.b.a |
$6$ |
$ 2^{8} \cdot 3^{6} \cdot 5^{5}$ |
$3$ |
8.4.2916000000.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$2$ |
| 6.596430000.8t45.a.a |
$6$ |
$ 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 47^{2}$ |
$4$ |
8.0.1789290000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$(A_4\wr C_2):C_2$ |
$1$ |
$0$ |
