Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 2.283.24t22.a.a 2.283.24t22.a.b |
$2$ |
$ 283 $ |
$1$ |
8.2.22665187.3 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.331.24t22.a.a 2.331.24t22.a.b |
$2$ |
$ 331 $ |
$1$ |
8.2.36264691.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.344.24t22.a.a 2.344.24t22.a.b |
$2$ |
$ 2^{3} \cdot 43 $ |
$2$ |
8.2.81415168.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.491.24t22.a.a 2.491.24t22.a.b |
$2$ |
$ 491 $ |
$1$ |
8.2.118370771.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.563.24t22.a.a 2.563.24t22.a.b |
$2$ |
$ 563 $ |
$1$ |
8.2.178453547.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.643.24t22.a.a 2.643.24t22.a.b |
$2$ |
$ 643 $ |
$1$ |
8.2.265847707.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.688.24t22.a.a 2.688.24t22.a.b |
$2$ |
$ 2^{4} \cdot 43 $ |
$2$ |
8.2.325660672.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.751.24t22.a.a 2.751.24t22.a.b |
$2$ |
$ 751 $ |
$1$ |
8.2.423564751.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.968.24t22.a.a 2.968.24t22.a.b |
$2$ |
$ 2^{3} \cdot 11^{2}$ |
$2$ |
8.2.19954863104.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.981.24t22.a.a 2.981.24t22.a.b |
$2$ |
$ 3^{2} \cdot 109 $ |
$2$ |
8.2.2832228423.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.981.24t22.c.a 2.981.24t22.c.b |
$2$ |
$ 3^{2} \cdot 109 $ |
$2$ |
8.2.2832228423.3 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1048.24t22.a.a 2.1048.24t22.a.b |
$2$ |
$ 2^{3} \cdot 131 $ |
$2$ |
8.2.2302045184.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1099.24t22.a.a 2.1099.24t22.a.b |
$2$ |
$ 7 \cdot 157 $ |
$2$ |
8.2.1327373299.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1099.24t22.c.a 2.1099.24t22.c.b |
$2$ |
$ 7 \cdot 157 $ |
$2$ |
8.2.1327373299.4 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1107.24t22.a.a 2.1107.24t22.a.b |
$2$ |
$ 3^{3} \cdot 41 $ |
$2$ |
8.2.150730227.4 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1107.24t22.c.a 2.1107.24t22.c.b |
$2$ |
$ 3^{3} \cdot 41 $ |
$2$ |
8.2.150730227.6 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1224.24t22.a.a 2.1224.24t22.a.b |
$2$ |
$ 2^{3} \cdot 3^{2} \cdot 17 $ |
$3$ |
8.2.11002604544.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1224.24t22.b.a 2.1224.24t22.b.b |
$2$ |
$ 2^{3} \cdot 3^{2} \cdot 17 $ |
$3$ |
8.2.11002604544.4 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1304.24t22.a.a 2.1304.24t22.a.b |
$2$ |
$ 2^{3} \cdot 163 $ |
$2$ |
8.2.4434684928.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1399.24t22.a.a 2.1399.24t22.a.b |
$2$ |
$ 1399 $ |
$1$ |
8.2.2738124199.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1423.24t22.a.a 2.1423.24t22.a.b |
$2$ |
$ 1423 $ |
$1$ |
8.2.2881473967.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1444.24t22.a.a 2.1444.24t22.a.b |
$2$ |
$ 2^{2} \cdot 19^{2}$ |
$2$ |
8.2.14301947824.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1557.24t22.a.a 2.1557.24t22.a.b |
$2$ |
$ 3^{2} \cdot 173 $ |
$2$ |
8.2.11323667079.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1557.24t22.b.a 2.1557.24t22.b.b |
$2$ |
$ 3^{2} \cdot 173 $ |
$2$ |
8.2.11323667079.3 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1800.24t22.a.a 2.1800.24t22.a.b |
$2$ |
$ 2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.2.34992000000.5 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1800.24t22.c.a 2.1800.24t22.c.b |
$2$ |
$ 2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$3$ |
8.2.1399680000.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1816.24t22.a.a 2.1816.24t22.a.b |
$2$ |
$ 2^{3} \cdot 227 $ |
$2$ |
8.2.11977812992.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1823.24t22.a.a 2.1823.24t22.a.b |
$2$ |
$ 1823 $ |
$1$ |
8.2.6058428767.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1879.24t22.a.a 2.1879.24t22.a.b |
$2$ |
$ 1879 $ |
$1$ |
8.2.6634074439.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1888.24t22.a.a 2.1888.24t22.a.b |
$2$ |
$ 2^{5} \cdot 59 $ |
$2$ |
8.2.13459718144.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1888.24t22.b.a 2.1888.24t22.b.b |
$2$ |
$ 2^{5} \cdot 59 $ |
$2$ |
8.2.13459718144.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1931.24t22.a.a 2.1931.24t22.a.b |
$2$ |
$ 1931 $ |
$1$ |
8.2.7200237491.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1936.24t22.a.a 2.1936.24t22.a.b |
$2$ |
$ 2^{4} \cdot 11^{2}$ |
$2$ |
8.2.79819452416.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.1944.24t22.a.a 2.1944.24t22.a.b |
$2$ |
$ 2^{3} \cdot 3^{5}$ |
$2$ |
8.2.181398528.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2092.24t22.a.a 2.2092.24t22.a.b |
$2$ |
$ 2^{2} \cdot 523 $ |
$2$ |
8.2.2288890672.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2096.24t22.a.a 2.2096.24t22.a.b |
$2$ |
$ 2^{4} \cdot 131 $ |
$2$ |
8.2.9208180736.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2151.24t22.a.a 2.2151.24t22.a.b |
$2$ |
$ 3^{2} \cdot 239 $ |
$2$ |
8.2.9952248951.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2151.24t22.b.a 2.2151.24t22.b.b |
$2$ |
$ 3^{2} \cdot 239 $ |
$2$ |
8.2.9952248951.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2183.24t22.a.a 2.2183.24t22.a.b |
$2$ |
$ 37 \cdot 59 $ |
$2$ |
8.2.10403062487.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2183.24t22.c.a 2.2183.24t22.c.b |
$2$ |
$ 37 \cdot 59 $ |
$2$ |
8.2.10403062487.3 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2243.24t22.a.a 2.2243.24t22.a.b |
$2$ |
$ 2243 $ |
$1$ |
8.2.11284642907.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2284.24t22.a.a 2.2284.24t22.a.b |
$2$ |
$ 2^{2} \cdot 571 $ |
$2$ |
8.2.2978710576.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2432.24t22.a.a 2.2432.24t22.a.b |
$2$ |
$ 2^{7} \cdot 19 $ |
$2$ |
8.2.28768731136.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2432.24t22.b.a 2.2432.24t22.b.b |
$2$ |
$ 2^{7} \cdot 19 $ |
$2$ |
8.2.28768731136.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2432.24t22.d.a 2.2432.24t22.d.b |
$2$ |
$ 2^{7} \cdot 19 $ |
$2$ |
8.2.28768731136.4 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2432.24t22.e.a 2.2432.24t22.e.b |
$2$ |
$ 2^{7} \cdot 19 $ |
$2$ |
8.2.28768731136.5 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2448.24t22.a.a 2.2448.24t22.a.b |
$2$ |
$ 2^{4} \cdot 3^{2} \cdot 17 $ |
$3$ |
8.2.44010418176.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2448.24t22.c.a 2.2448.24t22.c.b |
$2$ |
$ 2^{4} \cdot 3^{2} \cdot 17 $ |
$3$ |
8.2.44010418176.3 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2547.24t22.a.a 2.2547.24t22.a.b |
$2$ |
$ 3^{2} \cdot 283 $ |
$2$ |
8.2.1835880147.2 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
| 2.2563.24t22.a.a 2.2563.24t22.a.b |
$2$ |
$ 11 \cdot 233 $ |
$2$ |
8.2.16836267547.1 |
$\textrm{GL(2,3)}$ |
$S_4$ |
$\GL(2,3)$ |
$0$ |
$0$ |
