Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
12.543...544.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 23^{6}$ |
$4$ |
8.4.589989899664.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.696...056.24t1503.a.a |
$12$ |
$ 2^{28} \cdot 11^{10}$ |
$2$ |
8.4.116101021696.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.842...704.24t1503.a.a |
$12$ |
$ 2^{28} \cdot 3^{22}$ |
$2$ |
8.4.3869835264.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.129...664.24t1503.a.a |
$12$ |
$ 2^{38} \cdot 19^{6}$ |
$2$ |
8.4.1514143744.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.180...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 17^{6}$ |
$4$ |
8.4.416160000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.464...376.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 3^{14} \cdot 23^{6}$ |
$3$ |
8.4.470025421056.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.464...000.24t1503.a.a |
$12$ |
$ 2^{26} \cdot 5^{8} \cdot 11^{6}$ |
$3$ |
8.4.599695360000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.468...736.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 13^{6} \cdot 23^{6}$ |
$3$ |
8.4.3867844864.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.502...000.24t1503.a.a |
$12$ |
$ 2^{12} \cdot 3^{22} \cdot 5^{8}$ |
$3$ |
8.0.590490000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.548...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 3^{6} \cdot 5^{10} \cdot 7^{6}$ |
$4$ |
8.4.1244678400.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.926...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 5^{6} \cdot 67^{6}$ |
$3$ |
8.4.718240000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.933...936.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{6} \cdot 7^{10} \cdot 11^{6}$ |
$4$ |
8.4.18449245584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.947...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 5^{10} \cdot 23^{6}$ |
$3$ |
8.4.2116000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.951...184.24t1503.a.a |
$12$ |
$ 2^{32} \cdot 53^{6}$ |
$2$ |
8.4.2945449984.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.106...616.24t1503.a.a |
$12$ |
$ 2^{38} \cdot 3^{18}$ |
$2$ |
8.4.3057647616.4 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.134...264.24t1503.a.a |
$12$ |
$ 2^{32} \cdot 3^{22}$ |
$2$ |
8.4.3869835264.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.180...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 5^{10} \cdot 7^{10}$ |
$3$ |
8.4.470596000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.185...984.24t1503.a.a |
$12$ |
$ 2^{20} \cdot 3^{6} \cdot 79^{6}$ |
$3$ |
8.0.129413376.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.220...000.24t1503.a.a |
$12$ |
$ 2^{12} \cdot 5^{8} \cdot 13^{10}$ |
$3$ |
8.4.48268090000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.247...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 3^{18} \cdot 5^{10}$ |
$3$ |
8.4.2916000000.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.247...000.24t1503.b.a |
$12$ |
$ 2^{16} \cdot 3^{18} \cdot 5^{10}$ |
$3$ |
8.4.2916000000.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.383...576.24t1503.a.a |
$12$ |
$ 2^{24} \cdot 3^{28}$ |
$2$ |
8.4.8707129344.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.465...416.24t1503.a.a |
$12$ |
$ 2^{30} \cdot 3^{6} \cdot 29^{6}$ |
$3$ |
8.4.1984167936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.510...624.24t1503.a.a |
$12$ |
$ 2^{14} \cdot 3^{6} \cdot 11^{6} \cdot 17^{6}$ |
$4$ |
8.4.1584788925456.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.539...056.24t1503.a.a |
$12$ |
$ 2^{34} \cdot 3^{22}$ |
$2$ |
8.4.61917364224.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.547...000.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 5^{6} \cdot 227^{6}$ |
$3$ |
8.4.515290000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.724...944.24t1503.a.a |
$12$ |
$ 2^{34} \cdot 59^{6}$ |
$2$ |
8.4.3650093056.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.785...000.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 47^{6}$ |
$4$ |
8.0.1789290000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.118...656.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{22} \cdot 23^{6}$ |
$3$ |
8.0.4498116624.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.151...000.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 5^{6} \cdot 269^{6}$ |
$3$ |
8.0.723610000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$-4$ |
12.153...304.24t1503.a.a |
$12$ |
$ 2^{26} \cdot 3^{28}$ |
$2$ |
8.0.544195584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.157...136.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{10} \cdot 7^{6} \cdot 31^{6}$ |
$4$ |
8.4.26913058704.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.186...664.24t1503.a.a |
$12$ |
$ 2^{32} \cdot 3^{6} \cdot 29^{6}$ |
$3$ |
8.4.71430045696.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.195...000.24t1503.a.a |
$12$ |
$ 2^{38} \cdot 3^{6} \cdot 5^{10}$ |
$3$ |
8.4.8493465600.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.215...224.24t1503.a.a |
$12$ |
$ 2^{36} \cdot 3^{22}$ |
$2$ |
8.4.61917364224.3 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.220...744.24t1503.a.a |
$12$ |
$ 2^{26} \cdot 179^{6}$ |
$2$ |
8.4.2099838976.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.243...136.24t1503.a.a |
$12$ |
$ 2^{32} \cdot 7^{6} \cdot 13^{6}$ |
$3$ |
8.4.26592477184.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.273...096.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 19^{6} \cdot 31^{6}$ |
$3$ |
8.4.30810670141696.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.331...984.24t1503.a.a |
$12$ |
$ 2^{46} \cdot 19^{6}$ |
$2$ |
8.4.24226299904.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.331...984.24t1503.b.a |
$12$ |
$ 2^{46} \cdot 19^{6}$ |
$2$ |
8.4.24226299904.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.408...241.24t1503.a.a |
$12$ |
$ 3^{14} \cdot 7^{8} \cdot 23^{6}$ |
$3$ |
8.0.8333316369.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.435...336.24t1503.a.a |
$12$ |
$ 2^{10} \cdot 19^{6} \cdot 67^{6}$ |
$3$ |
8.4.10504456959364.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.507...824.24t1503.a.a |
$12$ |
$ 2^{28} \cdot 3^{6} \cdot 11^{10}$ |
$3$ |
8.4.642318336.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.635...000.24t1503.a.a |
$12$ |
$ 2^{8} \cdot 3^{26} \cdot 5^{10}$ |
$3$ |
8.4.14762250000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.635...464.24t1503.a.a |
$12$ |
$ 2^{20} \cdot 7^{6} \cdot 61^{6}$ |
$3$ |
8.0.746819584.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.688...784.24t1503.a.a |
$12$ |
$ 2^{24} \cdot 3^{20} \cdot 7^{6}$ |
$3$ |
8.4.3186376704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.689...000.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 5^{10} \cdot 47^{6}$ |
$3$ |
8.4.8836000000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.726...625.24t1503.a.a |
$12$ |
$ 5^{10} \cdot 7^{6} \cdot 43^{6}$ |
$3$ |
8.4.205213530025.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.975...544.24t1503.a.a |
$12$ |
$ 2^{34} \cdot 7^{6} \cdot 13^{6}$ |
$3$ |
8.4.8683257856.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |
12.992...016.24t1503.a.a |
$12$ |
$ 2^{16} \cdot 3^{22} \cdot 13^{6}$ |
$3$ |
8.0.2554695936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$0$ |