Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
9.11836763639.16t1294.a.a |
$9$ |
$ 43^{3} \cdot 53^{3}$ |
$2$ |
8.2.339290683.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.31674474944.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 7^{3} \cdot 113^{3}$ |
$3$ |
8.2.4565326108.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.100350148023.16t1294.a.a |
$9$ |
$ 3^{3} \cdot 1549^{3}$ |
$2$ |
8.2.17271375476403.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.111145882112.16t1294.a.a |
$9$ |
$ 2^{9} \cdot 601^{3}$ |
$2$ |
8.4.1043729299208.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.117785509888.16t1294.a.a |
$9$ |
$ 2^{14} \cdot 193^{3}$ |
$2$ |
8.2.88799232064.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.120846864384.16t1294.a.a |
$9$ |
$ 2^{12} \cdot 3^{3} \cdot 103^{3}$ |
$3$ |
8.2.1383025225728.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.180170657792.16t1294.a.a |
$9$ |
$ 2^{12} \cdot 353^{3}$ |
$2$ |
8.2.248438446096.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.209161465856.16t1294.a.a |
$9$ |
$ 2^{12} \cdot 7^{3} \cdot 53^{3}$ |
$3$ |
8.2.14139741952.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.318916345856.16t1294.a.a |
$9$ |
$ 2^{14} \cdot 269^{3}$ |
$2$ |
8.2.335111316544.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.319873167719.16t1294.a.a |
$9$ |
$ 7^{3} \cdot 977^{3}$ |
$2$ |
8.2.6377879282887.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.322264470016.16t1294.a.a |
$9$ |
$ 2^{9} \cdot 857^{3}$ |
$2$ |
8.2.4315322668808.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.337032380416.16t1294.a.a |
$9$ |
$ 2^{17} \cdot 137^{3}$ |
$2$ |
8.2.45091246208.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.390297362112.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 29^{3}$ |
$4$ |
8.2.57748079088.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.409675763483.16t1294.a.a |
$9$ |
$ 7^{3} \cdot 1061^{3}$ |
$2$ |
8.2.8870734388887.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.410011373853.16t1294.a.a |
$9$ |
$ 3^{4} \cdot 17^{3} \cdot 101^{3}$ |
$3$ |
8.4.683285301.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.423417472000.16t1294.a.a |
$9$ |
$ 2^{10} \cdot 5^{3} \cdot 149^{3}$ |
$3$ |
8.2.39430752080.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.462786790375.16t1294.a.a |
$9$ |
$ 5^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{3}$ |
$4$ |
8.2.83490514835.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.515078148096.16t1294.a.a |
$9$ |
$ 2^{12} \cdot 3^{3} \cdot 167^{3}$ |
$3$ |
8.2.221626368.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$1$ |
9.522324376576.16t1294.a.a |
$9$ |
$ 2^{10} \cdot 17^{3} \cdot 47^{3}$ |
$3$ |
8.2.1004924672.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.526731062976.16t1294.a.a |
$9$ |
$ 2^{6} \cdot 3^{3} \cdot 673^{3}$ |
$3$ |
8.2.2461736148492.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.543338496000.16t1294.a.a |
$9$ |
$ 2^{15} \cdot 3^{3} \cdot 5^{3} \cdot 17^{3}$ |
$4$ |
8.2.82104483840.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.630745726976.16t1294.a.a |
$9$ |
$ 2^{21} \cdot 67^{3}$ |
$2$ |
8.2.660311932928.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.729212883968.16t1294.a.a |
$9$ |
$ 2^{10} \cdot 19^{3} \cdot 47^{3}$ |
$3$ |
8.2.94939073536.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.801628120832.16t1294.a.a |
$9$ |
$ 2^{8} \cdot 7^{3} \cdot 11^{3} \cdot 19^{3}$ |
$4$ |
8.2.170984391424.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.821007451136.16t1294.a.a |
$9$ |
$ 2^{10} \cdot 929^{3}$ |
$2$ |
8.6.11917436282896.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$3$ |
9.828465164288.10t32.a.a |
$9$ |
$ 2^{12} \cdot 587^{3}$ |
$2$ |
6.2.37568.1 |
$S_6$ |
$S_6$ |
$S_{6}$ |
$1$ |
$1$ |
9.828986949632.16t1294.a.a |
$9$ |
$ 2^{16} \cdot 233^{3}$ |
$2$ |
8.2.754507653376.2 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
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 |
$(A_4\wr C_2):C_2$ |
$\PGOPlus(4,3)$ |
$\PGOPlus(4,3)$ |
$1$ |
$1$ |
9.877897859072.16t1294.a.a |
$9$ |
$ 2^{14} \cdot 13^{3} \cdot 29^{3}$ |
$3$ |
8.2.1292841769024.2 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.883354319875.16t1294.a.a |
$9$ |
$ 5^{3} \cdot 19^{3} \cdot 101^{3}$ |
$3$ |
8.2.9885738095.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.885027826179.16t1294.a.a |
$9$ |
$ 3^{4} \cdot 7^{3} \cdot 317^{3}$ |
$3$ |
8.2.5725588181607.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.887423028741.18t272.a.a |
$9$ |
$ 3^{4} \cdot 2221^{3}$ |
$2$ |
8.6.656988848944587.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-3$ |
9.893612883968.16t1294.a.a |
$9$ |
$ 2^{15} \cdot 7^{3} \cdot 43^{3}$ |
$3$ |
8.2.1568381796352.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |
9.910134926371.16t1294.a.a |
$9$ |
$ 11^{3} \cdot 881^{3}$ |
$2$ |
8.2.6626684877131.1 |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$S_4\wr C_2$ |
$1$ |
$-1$ |