Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 8.113...984.21t14.a.a |
$8$ |
$ 2^{18} \cdot 47^{4} \cdot 971^{4}$ |
$3$ |
7.7.2132721427456.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$8$ |
| 8.122...088.10t18.a.a |
$8$ |
$ 2^{8} \cdot 17^{7} \cdot 43^{8}$ |
$3$ |
10.10.6105273987852349696.1 |
$C_5^2 : C_8$ |
$C_5^2:C_8$ |
$C_5^2 : C_8$ |
$1$ |
$8$ |
| 8.199...096.24t708.a.a |
$8$ |
$ 2^{16} \cdot 41^{6} \cdot 283^{4}$ |
$3$ |
8.2.840614144.1 |
$C_2 \wr S_4$ |
$C_2^3:S_4$ |
$C_2\wr S_4$ |
$1$ |
$0$ |
| 8.291...000.10t40.a.a |
$8$ |
$ 2^{18} \cdot 5^{4} \cdot 71^{4} \cdot 26449^{2}$ |
$4$ |
10.10.23300317255158046392320000.1 |
$A_5 \wr C_2$ |
$A_5 \wr C_2$ |
$A_5 \wr C_2$ |
$1$ |
$8$ |
| 8.374...000.10t20.a.a |
$8$ |
$ 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 23^{8}$ |
$4$ |
10.10.320870687440896000000.1 |
$C_5^2 : Q_8$ |
$C_5^2:Q_8$ |
$C_5^2 : Q_8$ |
$1$ |
$8$ |
| 8.374...000.10t20.b.a |
$8$ |
$ 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 23^{8}$ |
$4$ |
10.10.320870687440896000000.1 |
$C_5^2 : Q_8$ |
$C_5^2:Q_8$ |
$C_5^2 : Q_8$ |
$1$ |
$8$ |
| 8.130...009.21t14.a.a |
$8$ |
$ 3^{6} \cdot 366019^{4}$ |
$2$ |
7.3.10851562577241.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.427...889.24t1539.a.a 8.427...889.24t1539.a.b |
$8$ |
$ 7^{6} \cdot 138041^{4}$ |
$2$ |
9.9.16240385609.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$0$ |
$8$ |
| 8.430...000.24t333.a.a |
$8$ |
$ 2^{16} \cdot 5^{4} \cdot 32027^{4}$ |
$3$ |
8.4.6564663865600.1 |
$C_2^3:S_4$ |
$C_2^2:S_4$ |
$C_2^3:S_4$ |
$1$ |
$0$ |
| 8.442...656.21t14.a.a |
$8$ |
$ 2^{12} \cdot 347^{4} \cdot 929^{4}$ |
$3$ |
7.7.6650745841216.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$8$ |
| 8.479...601.21t14.a.a |
$8$ |
$ 2632099^{4}$ |
$1$ |
7.7.6927945145801.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$8$ |
| 8.502...056.21t14.a.a |
$8$ |
$ 2^{16} \cdot 166417^{4}$ |
$2$ |
7.7.7089822179584.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$8$ |
| 8.578...369.24t569.a.a 8.578...369.24t569.a.b |
$8$ |
$ 71^{6} \cdot 277^{6}$ |
$2$ |
9.9.754169853931401428161.1 |
$(C_3^2:Q_8):C_3$ |
$\PGU(3,2)$ |
$\PGU(3,2)$ |
$0$ |
$8$ |
| 8.937...744.24t708.a.a |
$8$ |
$ 2^{16} \cdot 37^{2} \cdot 31973^{4}$ |
$3$ |
8.0.9682967289088.1 |
$C_2 \wr S_4$ |
$C_2^3:S_4$ |
$C_2\wr S_4$ |
$1$ |
$0$ |
| 8.335...489.21t14.a.a |
$8$ |
$ 3^{10} \cdot 223^{4} \cdot 1231^{4}$ |
$3$ |
7.3.54935535246201.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.421...625.21t14.a.a |
$8$ |
$ 5^{4} \cdot 906331^{4}$ |
$2$ |
7.7.20535897039025.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$8$ |
| 8.293...125.20t155.a.a |
$8$ |
$ 5^{12} \cdot 7^{8} \cdot 11^{2} \cdot 29^{7}$ |
$4$ |
10.10.20766998928551025390625.1 |
$F_5 \wr C_2$ |
$F_5\wr C_2$ |
$F_5\wr C_2$ |
$1$ |
$8$ |
| 8.294...304.24t2893.a.a |
$8$ |
$ 2^{4} \cdot 37^{6} \cdot 16361^{4}$ |
$3$ |
9.9.53038958912.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$8$ |
| 8.109...601.24t708.a.a |
$8$ |
$ 7^{6} \cdot 19^{4} \cdot 43^{6} \cdot 103^{4}$ |
$4$ |
8.8.1152784549.1 |
$C_2 \wr S_4$ |
$C_2^3:S_4$ |
$C_2\wr S_4$ |
$1$ |
$8$ |
| 8.214...536.21t14.a.a |
$8$ |
$ 2^{6} \cdot 3^{10} \cdot 19^{4} \cdot 14447^{4}$ |
$4$ |
7.3.878840491819536.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.681...481.12t177.a.a |
$8$ |
$ 3^{6} \cdot 53^{8} \cdot 107^{6}$ |
$3$ |
9.9.29824410535929.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$8$ |
| 8.681...481.12t177.b.a |
$8$ |
$ 3^{6} \cdot 53^{8} \cdot 107^{6}$ |
$3$ |
9.9.29824410535929.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$8$ |
| 8.681...481.12t178.a.a |
$8$ |
$ 3^{6} \cdot 53^{8} \cdot 107^{6}$ |
$3$ |
9.9.29824410535929.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$8$ |
| 8.858...304.21t14.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 29^{4} \cdot 4733^{4}$ |
$4$ |
7.3.878974967790144.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.204...000.21t14.a.a |
$8$ |
$ 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 45751^{4}$ |
$4$ |
7.3.6781818963240000.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.208...536.21t14.a.a |
$8$ |
$ 2^{6} \cdot 3^{16} \cdot 7^{10} \cdot 1279^{4}$ |
$4$ |
7.3.8909594507513894544.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.420...496.21t14.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 7^{10} \cdot 2801^{4}$ |
$4$ |
7.3.2110172894048149056.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.420...161.21t14.a.a |
$8$ |
$ 3^{10} \cdot 7^{10} \cdot 22409^{4}$ |
$3$ |
7.3.2110361239280147049.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.523...625.21t14.a.a |
$8$ |
$ 3^{10} \cdot 5^{6} \cdot 83^{4} \cdot 3307^{4}$ |
$4$ |
7.3.34326705196355625.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.759...849.21t14.a.a |
$8$ |
$ 3^{6} \cdot 19^{6} \cdot 121993^{4}$ |
$3$ |
7.3.157097489751536049.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.776...625.21t14.a.a |
$8$ |
$ 3^{10} \cdot 5^{6} \cdot 17^{6} \cdot 29^{4} \cdot 149^{4}$ |
$5$ |
7.3.710512566998855625.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.167...976.21t14.a.a |
$8$ |
$ 2^{12} \cdot 3^{16} \cdot 11^{6} \cdot 2707^{4}$ |
$4$ |
7.3.405452304649871424.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.197...121.21t14.a.a |
$8$ |
$ 3^{16} \cdot 137^{4} \cdot 6011^{4}$ |
$3$ |
7.3.40044892989064401.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
| 8.200...600.24t708.a.a |
$8$ |
$ 2^{20} \cdot 5^{2} \cdot 13^{2} \cdot 259517^{4}$ |
$4$ |
8.0.1147585105437655040.1 |
$C_2 \wr S_4$ |
$C_2^3:S_4$ |
$C_2\wr S_4$ |
$1$ |
$0$ |
| 8.430...125.40t874.a.a 8.430...125.40t874.a.b |
$8$ |
$ 5^{12} \cdot 7^{8} \cdot 11^{6} \cdot 29^{7}$ |
$4$ |
10.10.20766998928551025390625.1 |
$F_5 \wr C_2$ |
$F_5\wr C_2$ |
$F_5\wr C_2$ |
$0$ |
$8$ |
