Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 9.179...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 5^{6} \cdot 23^{4}$ |
$3$ |
8.4.2116000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.340...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{6}$ |
$3$ |
8.4.2916000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.349...376.18t179.a.a |
$9$ |
$ 2^{28} \cdot 19^{4}$ |
$2$ |
8.4.1514143744.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.451...296.18t179.a.a |
$9$ |
$ 2^{20} \cdot 3^{16}$ |
$2$ |
8.4.3869835264.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.451...296.18t179.b.a |
$9$ |
$ 2^{20} \cdot 3^{16}$ |
$2$ |
8.4.3869835264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.803...904.18t179.a.a |
$9$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 11^{4}$ |
$4$ |
8.4.18449245584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.132...896.18t179.a.a |
$9$ |
$ 2^{24} \cdot 53^{4}$ |
$2$ |
8.4.2945449984.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.132...896.18t179.b.a |
$9$ |
$ 2^{24} \cdot 53^{4}$ |
$2$ |
8.4.11781799936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.142...096.18t179.a.a |
$9$ |
$ 2^{28} \cdot 3^{12}$ |
$2$ |
8.4.3057647616.4 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.172...000.18t179.a.a |
$9$ |
$ 2^{8} \cdot 3^{16} \cdot 5^{6}$ |
$3$ |
8.0.590490000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.188...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 5^{8} \cdot 7^{6}$ |
$3$ |
8.4.470596000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.203...976.18t179.a.a |
$9$ |
$ 2^{24} \cdot 59^{4}$ |
$2$ |
8.4.58401488896.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.224...456.18t179.a.a |
$9$ |
$ 2^{20} \cdot 11^{8}$ |
$2$ |
8.4.116101021696.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.294...000.18t179.a.a |
$9$ |
$ 2^{6} \cdot 5^{6} \cdot 131^{4}$ |
$3$ |
8.4.4290250000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.357...281.18t179.a.a |
$9$ |
$ 3^{12} \cdot 7^{4} \cdot 23^{4}$ |
$3$ |
8.0.8333316369.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.387...000.18t179.a.a |
$9$ |
$ 2^{6} \cdot 3^{18} \cdot 5^{6}$ |
$3$ |
8.4.14762250000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.432...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 17^{4}$ |
$4$ |
8.4.416160000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.529...584.18t179.a.a |
$9$ |
$ 2^{26} \cdot 53^{4}$ |
$2$ |
8.4.47127199744.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.549...704.18t179.a.a |
$9$ |
$ 2^{22} \cdot 107^{4}$ |
$2$ |
8.4.48020586496.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.559...016.18t179.a.a |
$9$ |
$ 2^{32} \cdot 19^{4}$ |
$2$ |
8.4.24226299904.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.559...016.18t179.b.a |
$9$ |
$ 2^{32} \cdot 19^{4}$ |
$2$ |
8.4.24226299904.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.623...896.18t179.a.a |
$9$ |
$ 2^{20} \cdot 29^{6}$ |
$2$ |
8.0.55115776.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.722...736.18t179.a.a |
$9$ |
$ 2^{24} \cdot 3^{16}$ |
$2$ |
8.4.110075314176.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.722...736.18t179.b.a |
$9$ |
$ 2^{24} \cdot 3^{16}$ |
$2$ |
8.4.27518828544.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.722...736.18t179.c.a |
$9$ |
$ 2^{24} \cdot 3^{16}$ |
$2$ |
8.4.990677827584.5 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.776...744.18t179.a.a |
$9$ |
$ 2^{12} \cdot 3^{6} \cdot 127^{4}$ |
$3$ |
8.0.752514624.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.813...904.18t179.a.a |
$9$ |
$ 2^{26} \cdot 59^{4}$ |
$2$ |
8.4.58401488896.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.820...456.18t179.a.a |
$9$ |
$ 2^{6} \cdot 3^{12} \cdot 17^{6}$ |
$3$ |
8.4.70385151204.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.850...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{8}$ |
$3$ |
8.4.46656000000.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.850...000.18t179.b.a |
$9$ |
$ 2^{12} \cdot 3^{12} \cdot 5^{8}$ |
$3$ |
8.4.2916000000.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.914...744.18t179.a.a |
$9$ |
$ 2^{18} \cdot 3^{20}$ |
$2$ |
8.4.8707129344.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.961...376.18t179.a.a |
$9$ |
$ 2^{24} \cdot 3^{4} \cdot 29^{4}$ |
$3$ |
8.4.1984167936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.967...000.18t179.a.a |
$9$ |
$ 2^{20} \cdot 3^{10} \cdot 5^{6}$ |
$3$ |
8.0.1194393600.5 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.118...249.18t179.a.a |
$9$ |
$ 3^{6} \cdot 1129^{4}$ |
$2$ |
8.0.929213289.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.123...000.18t179.a.a |
$9$ |
$ 2^{24} \cdot 5^{4} \cdot 7^{6}$ |
$3$ |
8.4.5138022400.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.123...000.18t179.b.a |
$9$ |
$ 2^{24} \cdot 5^{4} \cdot 7^{6}$ |
$3$ |
8.4.1284505600.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.128...000.18t179.a.a |
$9$ |
$ 2^{12} \cdot 5^{6} \cdot 67^{4}$ |
$3$ |
8.4.718240000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.129...824.18t179.a.a |
$9$ |
$ 2^{8} \cdot 3^{16} \cdot 7^{6}$ |
$3$ |
8.4.111152892816.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.135...144.18t179.a.a |
$9$ |
$ 2^{20} \cdot 3^{6} \cdot 11^{6}$ |
$3$ |
8.4.642318336.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.150...000.18t179.a.a |
$9$ |
$ 2^{6} \cdot 5^{6} \cdot 197^{4}$ |
$3$ |
8.0.9702250000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.161...625.18t179.a.a |
$9$ |
$ 3^{16} \cdot 5^{6} \cdot 7^{4}$ |
$3$ |
8.4.5023265625.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.186...264.18t179.a.a |
$9$ |
$ 2^{16} \cdot 3^{6} \cdot 79^{4}$ |
$3$ |
8.0.129413376.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.187...000.18t179.a.a |
$9$ |
$ 2^{22} \cdot 5^{6} \cdot 13^{4}$ |
$3$ |
8.0.1107558400.13 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.217...000.18t179.a.a |
$9$ |
$ 2^{18} \cdot 3^{12} \cdot 5^{6}$ |
$3$ |
8.0.298598400.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.217...176.18t179.a.a |
$9$ |
$ 2^{16} \cdot 7^{4} \cdot 61^{4}$ |
$3$ |
8.0.746819584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.228...536.18t179.a.a |
$9$ |
$ 2^{32} \cdot 3^{12}$ |
$2$ |
8.4.48922361856.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.228...536.18t179.b.a |
$9$ |
$ 2^{32} \cdot 3^{12}$ |
$2$ |
8.4.48922361856.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.248...024.18t179.a.a |
$9$ |
$ 2^{24} \cdot 23^{6}$ |
$2$ |
8.4.8875147264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
| 9.250...000.18t179.a.a |
$9$ |
$ 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6}$ |
$4$ |
8.0.77189508900.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-3$ |
| 9.255...464.18t179.a.a |
$9$ |
$ 2^{28} \cdot 3^{4} \cdot 7^{6}$ |
$3$ |
8.4.1849688064.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
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