Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
9.111145882112.16t1294.a.a |
$9$ |
$ 2^{9} \cdot 601^{3}$ |
$2$ |
8.4.1043729299208.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.132027738688.12t165.a.a |
$9$ |
$ 2^{6} \cdot 19^{3} \cdot 67^{3}$ |
$3$ |
8.4.10504456959364.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.152701438625.16t1294.a.a |
$9$ |
$ 5^{3} \cdot 1069^{3}$ |
$2$ |
8.4.6529513515605.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.363994344000.12t165.a.a |
$9$ |
$ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 17^{3}$ |
$5$ |
8.4.40608119002500.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.410011373853.16t1294.a.a |
$9$ |
$ 3^{4} \cdot 17^{3} \cdot 101^{3}$ |
$3$ |
8.4.683285301.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.426107828125.12t165.a.a |
$9$ |
$ 5^{6} \cdot 7^{3} \cdot 43^{3}$ |
$3$ |
8.4.205213530025.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.452454197733.18t272.a.a |
$9$ |
$ 3^{6} \cdot 853^{3}$ |
$2$ |
8.6.14294201135787.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.518705353233.18t272.a.a |
$9$ |
$ 3^{7} \cdot 619^{3}$ |
$2$ |
8.6.321078613651227.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.519718464000.16t1294.a.a |
$9$ |
$ 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 67^{3}$ |
$4$ |
8.4.65289632040.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.564379103744.16t1294.a.a |
$9$ |
$ 2^{9} \cdot 1033^{3}$ |
$2$ |
8.4.9109431471368.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.592704000000.12t165.a.a |
$9$ |
$ 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3}$ |
$4$ |
8.4.1244678400.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.640726867061.16t1294.a.a |
$9$ |
$ 37^{3} \cdot 233^{3}$ |
$2$ |
8.4.109049934277.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.681472000000.12t165.a.a |
$9$ |
$ 2^{15} \cdot 5^{6} \cdot 11^{3}$ |
$3$ |
8.4.599695360000.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.723183538176.12t165.a.a |
$9$ |
$ 2^{12} \cdot 3^{3} \cdot 11^{3} \cdot 17^{3}$ |
$4$ |
8.4.1584788925456.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.746636341248.12t165.a.a |
$9$ |
$ 2^{12} \cdot 3^{12} \cdot 7^{3}$ |
$3$ |
8.4.3186376704.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.755560187712.12t165.a.a |
$9$ |
$ 2^{6} \cdot 3^{6} \cdot 11^{3} \cdot 23^{3}$ |
$4$ |
8.4.589989899664.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.828465164288.10t32.a.a |
$9$ |
$ 2^{12} \cdot 587^{3}$ |
$2$ |
6.2.37568.1 |
$S_6$ |
$S_6$ |
$S_{6}$ |
$1$ |
$1$ |
9.830584000000.12t165.a.a |
$9$ |
$ 2^{9} \cdot 5^{6} \cdot 47^{3}$ |
$3$ |
8.4.499679334400.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.836962177024.12t165.a.a |
$9$ |
$ 2^{12} \cdot 19^{3} \cdot 31^{3}$ |
$3$ |
8.4.30810670141696.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.875918098432.12t165.a.a |
$9$ |
$ 2^{15} \cdot 13^{3} \cdot 23^{3}$ |
$3$ |
8.4.2095196091449344.2 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.887423028741.18t272.a.a |
$9$ |
$ 3^{4} \cdot 2221^{3}$ |
$2$ |
8.6.656988848944587.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.980922617856.12t165.a.a |
$9$ |
$ 2^{12} \cdot 3^{9} \cdot 23^{3}$ |
$3$ |
8.4.470025421056.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.109...168.12t165.a.a |
$9$ |
$ 2^{23} \cdot 19^{4}$ |
$2$ |
8.4.1514143744.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.112...072.18t272.a.a |
$9$ |
$ 2^{6} \cdot 7^{6} \cdot 53^{3}$ |
$3$ |
8.2.43302959728.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.112...528.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 19^{3} \cdot 137^{3}$ |
$3$ |
8.0.26772927436.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.117...149.16t1294.a.a |
$9$ |
$ 7^{3} \cdot 11^{3} \cdot 137^{3}$ |
$3$ |
8.4.4815966617.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.128...133.16t1294.a.a |
$9$ |
$ 73^{3} \cdot 149^{3}$ |
$2$ |
8.4.35980561273.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.130...416.18t272.a.a |
$9$ |
$ 2^{8} \cdot 1721^{3}$ |
$2$ |
8.2.561440134993984.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.142...504.18t272.a.a |
$9$ |
$ 2^{16} \cdot 3^{6} \cdot 31^{3}$ |
$3$ |
8.2.408536137728.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.144...000.18t272.a.a |
$9$ |
$ 2^{12} \cdot 5^{3} \cdot 41^{4}$ |
$3$ |
8.4.11027360000.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.146...293.16t1294.a.a |
$9$ |
$ 41^{3} \cdot 277^{3}$ |
$2$ |
8.4.782735797.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.146...293.16t1294.b.a |
$9$ |
$ 41^{3} \cdot 277^{3}$ |
$2$ |
8.4.241380917081.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.148...713.12t128.a.a |
$9$ |
$ 7^{6} \cdot 233^{3}$ |
$2$ |
8.0.144417480529.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$1$ |
$1$ |
9.155...000.18t272.a.a |
$9$ |
$ 2^{8} \cdot 5^{6} \cdot 73^{3}$ |
$3$ |
8.2.1135929640000.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.161...352.18t272.a.a |
$9$ |
$ 2^{12} \cdot 733^{3}$ |
$2$ |
8.2.73901944197376.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.161...656.16t1294.a.a |
$9$ |
$ 2^{16} \cdot 3^{3} \cdot 97^{3}$ |
$3$ |
8.4.67990487808.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.164...112.16t1294.a.a |
$9$ |
$ 2^{15} \cdot 3^{6} \cdot 41^{3}$ |
$3$ |
8.4.7835222016.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.165...704.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 7^{4} \cdot 13^{3} \cdot 17^{3}$ |
$4$ |
8.4.18652389392.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.180...448.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 17^{3} \cdot 179^{3}$ |
$3$ |
8.4.4467874963712.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.187...448.12t165.a.a |
$9$ |
$ 2^{15} \cdot 3^{4} \cdot 29^{4}$ |
$3$ |
8.4.1984167936.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.188...208.18t272.a.a |
$9$ |
$ 2^{18} \cdot 193^{3}$ |
$2$ |
8.2.88799232064.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.191...296.16t1294.a.a |
$9$ |
$ 2^{21} \cdot 97^{3}$ |
$2$ |
8.4.45326991872.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.210...728.18t272.a.a |
$9$ |
$ 2^{8} \cdot 2017^{3}$ |
$2$ |
8.2.1059262424801344.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.214...136.10t32.a.a |
$9$ |
$ 2^{15} \cdot 13^{3} \cdot 31^{3}$ |
$3$ |
6.2.206336.1 |
$S_6$ |
$S_6$ |
$S_{6}$ |
$1$ |
$1$ |
9.225...000.16t1294.a.a |
$9$ |
$ 2^{18} \cdot 5^{3} \cdot 41^{3}$ |
$3$ |
8.4.14467896320.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.241...832.18t272.a.a |
$9$ |
$ 2^{16} \cdot 3^{6} \cdot 37^{3}$ |
$3$ |
8.4.51816803328.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.251...992.12t165.a.a |
$9$ |
$ 2^{12} \cdot 13^{3} \cdot 23^{4}$ |
$3$ |
8.4.3867844864.1 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.253...737.18t272.a.a |
$9$ |
$ 3^{7} \cdot 1051^{3}$ |
$2$ |
8.6.2668453548442587.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.265...584.10t32.a.a |
$9$ |
$ 2^{6} \cdot 3461^{3}$ |
$2$ |
6.2.55376.1 |
$S_6$ |
$S_6$ |
$S_{6}$ |
$1$ |
$1$ |
9.270...621.18t272.a.a |
$9$ |
$ 3^{6} \cdot 1549^{3}$ |
$2$ |
8.2.17271375476403.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |