Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 7.100...848.24t283.a.a 7.100...848.24t283.a.b |
$7$ |
$ 2^{6} \cdot 3^{11} \cdot 31^{6}$ |
$3$ |
8.0.3353997110999616.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.101...608.24t283.a.a 7.101...608.24t283.a.b |
$7$ |
$ 2^{12} \cdot 7^{5} \cdot 23^{6}$ |
$3$ |
8.0.1455858358226944.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.101...608.24t283.b.a 7.101...608.24t283.b.b |
$7$ |
$ 2^{12} \cdot 7^{5} \cdot 23^{6}$ |
$3$ |
8.0.1455858358226944.10 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.102...625.8t37.a.a |
$7$ |
$ 5^{4} \cdot 2011^{4}$ |
$2$ |
7.3.101103025.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.102...001.8t37.a.a |
$7$ |
$ 89^{4} \cdot 113^{4}$ |
$2$ |
7.3.101143249.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.104...721.8t37.a.a |
$7$ |
$ 67^{4} \cdot 151^{4}$ |
$2$ |
7.3.102353689.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.104...088.24t283.a.a 7.104...088.24t283.a.b |
$7$ |
$ 2^{16} \cdot 3^{4} \cdot 7^{11}$ |
$3$ |
8.8.1499496131395584.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$7$ |
| 7.104...088.24t283.b.a 7.104...088.24t283.b.b |
$7$ |
$ 2^{16} \cdot 3^{4} \cdot 7^{11}$ |
$3$ |
8.0.1499496131395584.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.105...376.8t37.a.a |
$7$ |
$ 2^{8} \cdot 2531^{4}$ |
$2$ |
7.3.102495376.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.105...592.24t283.a.a 7.105...592.24t283.a.b |
$7$ |
$ 2^{6} \cdot 7^{11} \cdot 17^{4}$ |
$3$ |
8.0.1509927377390656.3 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.105...592.24t283.b.a 7.105...592.24t283.b.b |
$7$ |
$ 2^{6} \cdot 7^{11} \cdot 17^{4}$ |
$3$ |
8.0.1509927377390656.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.105...592.24t283.c.a 7.105...592.24t283.c.b |
$7$ |
$ 2^{6} \cdot 7^{11} \cdot 17^{4}$ |
$3$ |
8.0.1509927377390656.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.105...625.16t713.a.a |
$7$ |
$ 5^{6} \cdot 7^{14}$ |
$2$ |
8.2.1513890787609375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.106...841.8t25.a.a |
$7$ |
$ 17^{4} \cdot 71^{6}$ |
$2$ |
8.0.10699063813365841.1 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$-1$ |
| 7.106...841.8t25.b.a |
$7$ |
$ 17^{4} \cdot 71^{6}$ |
$2$ |
8.0.10699063813365841.2 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$-1$ |
| 7.110...081.8t37.a.a |
$7$ |
$ 10253^{4}$ |
$1$ |
7.3.105124009.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.113...736.8t37.a.a |
$7$ |
$ 2^{8} \cdot 2579^{4}$ |
$2$ |
7.3.425679424.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.118...176.8t37.a.a |
$7$ |
$ 2^{12} \cdot 1303^{4}$ |
$2$ |
7.3.108659776.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.118...889.8t25.a.a |
$7$ |
$ 37^{4} \cdot 43^{6}$ |
$2$ |
8.0.11847252093276889.1 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$-1$ |
| 7.118...889.8t25.b.a |
$7$ |
$ 37^{4} \cdot 43^{6}$ |
$2$ |
8.0.11847252093276889.2 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$-1$ |
| 7.118...456.24t283.a.a 7.118...456.24t283.a.b |
$7$ |
$ 2^{8} \cdot 541^{5}$ |
$2$ |
8.0.21929514946816.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.a.a 7.123...128.24t283.a.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.12 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.b.a 7.123...128.24t283.b.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.c.a 7.123...128.24t283.c.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.14 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.d.a 7.123...128.24t283.d.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.15 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.e.a 7.123...128.24t283.e.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.3 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.f.a 7.123...128.24t283.f.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.5 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.g.a 7.123...128.24t283.g.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.6 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.123...128.24t283.h.a 7.123...128.24t283.h.b |
$7$ |
$ 2^{12} \cdot 313^{5}$ |
$2$ |
8.0.39313100640256.7 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.124...032.24t283.a.a 7.124...032.24t283.a.b |
$7$ |
$ 2^{6} \cdot 7^{9} \cdot 13^{6}$ |
$3$ |
8.0.1780837974400576.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.124...032.24t283.b.a 7.124...032.24t283.b.b |
$7$ |
$ 2^{6} \cdot 7^{9} \cdot 13^{6}$ |
$3$ |
8.0.1780837974400576.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.127...721.8t25.a.a |
$7$ |
$ 7^{12} \cdot 31^{4}$ |
$2$ |
8.8.12782719397154721.1 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$7$ |
| 7.127...721.8t25.b.a |
$7$ |
$ 7^{12} \cdot 31^{4}$ |
$2$ |
8.0.12782719397154721.1 |
$C_2^3:C_7$ |
$F_8$ |
$C_2^3:C_7$ |
$1$ |
$-1$ |
| 7.131...921.8t37.a.a |
$7$ |
$ 7^{4} \cdot 1531^{4}$ |
$2$ |
7.3.114854089.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.136...424.16t713.a.a |
$7$ |
$ 2^{4} \cdot 7^{8} \cdot 23^{6}$ |
$3$ |
8.2.1950622722155632.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.137...721.8t37.a.a |
$7$ |
$ 10831^{4}$ |
$1$ |
7.3.117310561.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.147...609.16t713.a.a |
$7$ |
$ 7^{8} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.147...609.16t713.b.a |
$7$ |
$ 7^{8} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.160...625.8t37.a.a |
$7$ |
$ 5^{6} \cdot 19^{4} \cdot 53^{4}$ |
$3$ |
7.3.633780625.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.167...936.8t48.a.a |
$7$ |
$ 2^{12} \cdot 1423^{4}$ |
$2$ |
8.8.132705746944.1 |
$C_2^3:\GL(3,2)$ |
$C_2^3:\GL(3,2)$ |
$C_2^3:\GL(3,2)$ |
$1$ |
$7$ |
| 7.172...929.8t37.a.a |
$7$ |
$ 3^{6} \cdot 2207^{4}$ |
$2$ |
7.3.394538769.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.173...584.16t713.a.a |
$7$ |
$ 2^{6} \cdot 7^{8} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.173...584.16t713.b.a |
$7$ |
$ 2^{6} \cdot 7^{8} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.182...047.8t43.a.a |
$7$ |
$ 7^{7} \cdot 53^{6}$ |
$2$ |
8.2.18253304457260047.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
| 7.182...376.8t37.a.a |
$7$ |
$ 2^{12} \cdot 1453^{4}$ |
$2$ |
7.3.135117376.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.193...201.8t37.a.a |
$7$ |
$ 11801^{4}$ |
$1$ |
7.3.139263601.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.202...561.16t713.a.a |
$7$ |
$ 3^{6} \cdot 7^{8} \cdot 13^{6}$ |
$3$ |
8.2.2897836793165223.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$-1$ |
| 7.205...151.24t283.a.a 7.205...151.24t283.a.b |
$7$ |
$ 1831^{5}$ |
$1$ |
8.0.11239665258721.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
| 7.225...001.8t37.a.a |
$7$ |
$ 12251^{4}$ |
$1$ |
7.3.150087001.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
| 7.227...375.8t43.a.a |
$7$ |
$ 5^{6} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.22796197822234375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
