Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
7.1817487424.8t36.a.a |
$7$ |
$ 2^{6} \cdot 73^{4}$ |
$2$ |
8.0.1817487424.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.18078415936.8t36.a.a |
$7$ |
$ 2^{6} \cdot 7^{10}$ |
$2$ |
8.0.18078415936.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.29079798784.8t36.a.a |
$7$ |
$ 2^{10} \cdot 73^{4}$ |
$2$ |
8.0.29079798784.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.37822859361.8t37.a.a |
$7$ |
$ 3^{8} \cdot 7^{8}$ |
$2$ |
7.3.4202539929.3 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.72313663744.8t36.a.a |
$7$ |
$ 2^{8} \cdot 7^{10}$ |
$2$ |
8.0.72313663744.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.72313663744.56.a.a |
$7$ |
$ 2^{8} \cdot 7^{10}$ |
$2$ |
9.1.72313663744.1 |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
${}^2G(2,3)$ |
56 |
$1$ |
$-1$ |
7.100367308864.8t36.a.a |
$7$ |
$ 2^{6} \cdot 199^{4}$ |
$2$ |
8.0.100367308864.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.116101021696.8t37.a.a |
$7$ |
$ 2^{16} \cdot 11^{6}$ |
$2$ |
7.3.1814078464.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.116319195136.8t36.a.a |
$7$ |
$ 2^{12} \cdot 73^{4}$ |
$2$ |
8.0.116319195136.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.116319195136.8t36.b.a |
$7$ |
$ 2^{12} \cdot 73^{4}$ |
$2$ |
8.0.116319195136.3 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.126548911552.24t283.a.a 7.126548911552.24t283.a.b |
$7$ |
$ 2^{6} \cdot 7^{11}$ |
$2$ |
8.0.18078415936.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
7.132676581952.24t283.a.a 7.132676581952.24t283.a.b |
$7$ |
$ 2^{6} \cdot 73^{5}$ |
$2$ |
8.0.1817487424.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
7.132705746944.8t48.a.a |
$7$ |
$ 2^{16} \cdot 1423^{2}$ |
$2$ |
8.8.132705746944.1 |
$C_2^3:\GL(3,2)$ |
$C_2^3:\GL(3,2)$ |
$C_2^3:\GL(3,2)$ |
$1$ |
$7$ |
7.377801998336.8t37.a.a |
$7$ |
$ 2^{16} \cdot 7^{8}$ |
$2$ |
7.3.1475789056.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.401469235456.8t36.a.a |
$7$ |
$ 2^{8} \cdot 199^{4}$ |
$2$ |
8.0.401469235456.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.401469235456.8t36.b.a |
$7$ |
$ 2^{8} \cdot 199^{4}$ |
$2$ |
8.0.401469235456.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.506195646208.24t283.a.a 7.506195646208.24t283.a.b |
$7$ |
$ 2^{8} \cdot 7^{11}$ |
$2$ |
8.0.72313663744.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
7.506195646208.168.a.a 7.506195646208.168.a.b |
$7$ |
$ 2^{8} \cdot 7^{11}$ |
$2$ |
9.1.72313663744.1 |
$\mathrm{P}\Gamma\mathrm{L}(2,8)$ |
${}^2G(2,3)$ |
168 |
$0$ |
$-1$ |
7.646274503744.8t37.a.a |
$7$ |
$ 2^{6} \cdot 317^{4}$ |
$2$ |
7.3.6431296.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.705277476864.56.a.a 7.705277476864.56.a.b 7.705277476864.56.a.c |
$7$ |
$ 2^{14} \cdot 3^{16}$ |
$2$ |
9.1.514147280633856.1 |
$\PSL(2,8)$ |
$\SL(2,8)$ |
56 |
$1$ |
$-1$ |
7.777431921841.8t36.a.a |
$7$ |
$ 3^{4} \cdot 313^{4}$ |
$2$ |
8.0.777431921841.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.777431921841.8t36.b.a |
$7$ |
$ 3^{4} \cdot 313^{4}$ |
$2$ |
8.0.777431921841.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.115...904.8t36.a.a |
$7$ |
$ 2^{12} \cdot 7^{10}$ |
$2$ |
8.0.1157018619904.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.115...904.8t36.b.a |
$7$ |
$ 2^{12} \cdot 7^{10}$ |
$2$ |
8.0.1157018619904.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.145...623.8t43.a.a |
$7$ |
$ 7^{7} \cdot 11^{6}$ |
$2$ |
8.2.1458956660623.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.160...824.8t36.a.a |
$7$ |
$ 2^{10} \cdot 199^{4}$ |
$2$ |
8.0.1605876941824.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.163...281.8t37.a.a |
$7$ |
$ 11^{6} \cdot 31^{4}$ |
$2$ |
7.3.1702470121.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.186...176.8t36.a.a |
$7$ |
$ 2^{16} \cdot 73^{4}$ |
$2$ |
8.0.1861107122176.20 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.186...176.8t36.b.a |
$7$ |
$ 2^{16} \cdot 73^{4}$ |
$2$ |
8.0.1861107122176.22 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.212...232.24t283.a.a 7.212...232.24t283.a.b |
$7$ |
$ 2^{10} \cdot 73^{5}$ |
$2$ |
8.0.29079798784.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$F_8:C_3$ |
$0$ |
$-1$ |
7.246...064.8t37.a.a |
$7$ |
$ 2^{6} \cdot 443^{4}$ |
$2$ |
7.3.12559936.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.252...641.8t36.a.a |
$7$ |
$ 13^{4} \cdot 97^{4}$ |
$2$ |
8.0.2528484794641.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.252...641.8t36.b.a |
$7$ |
$ 13^{4} \cdot 97^{4}$ |
$2$ |
8.0.2528484794641.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.252...641.8t36.c.a |
$7$ |
$ 13^{4} \cdot 97^{4}$ |
$2$ |
8.0.2528484794641.3 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.252...641.8t36.d.a |
$7$ |
$ 13^{4} \cdot 97^{4}$ |
$2$ |
8.0.2528484794641.4 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.279...264.8t37.a.a |
$7$ |
$ 2^{6} \cdot 457^{4}$ |
$2$ |
7.3.13366336.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.329...104.8t37.a.a |
$7$ |
$ 2^{6} \cdot 61^{6}$ |
$2$ |
7.3.886133824.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.403...321.8t37.a.a |
$7$ |
$ 13^{4} \cdot 109^{4}$ |
$2$ |
7.3.2007889.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.471...784.8t37.a.a |
$7$ |
$ 2^{6} \cdot 521^{4}$ |
$2$ |
7.3.17372224.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.532...321.8t36.a.a |
$7$ |
$ 7^{8} \cdot 31^{4}$ |
$2$ |
8.0.5323914784321.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.548...704.8t36.a.a |
$7$ |
$ 2^{6} \cdot 541^{4}$ |
$2$ |
8.0.5482378736704.3 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.548...704.8t36.b.a |
$7$ |
$ 2^{6} \cdot 541^{4}$ |
$2$ |
8.0.5482378736704.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.548...704.8t36.c.a |
$7$ |
$ 2^{6} \cdot 541^{4}$ |
$2$ |
8.0.5482378736704.2 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.553...769.8t37.a.a |
$7$ |
$ 7^{6} \cdot 19^{6}$ |
$2$ |
7.3.312900721.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.567...024.8t37.a.a |
$7$ |
$ 2^{8} \cdot 53^{6}$ |
$2$ |
7.3.504990784.2 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$-1$ |
7.620...048.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.6200896666048.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.634...776.56.a.a |
$7$ |
$ 2^{14} \cdot 3^{18}$ |
$2$ |
9.1.514147280633856.1 |
$\PSL(2,8)$ |
$\SL(2,8)$ |
56 |
$1$ |
$-1$ |
7.642...296.8t36.a.a |
$7$ |
$ 2^{12} \cdot 199^{4}$ |
$2$ |
8.8.6423507767296.1 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$7$ |
7.642...296.8t36.b.a |
$7$ |
$ 2^{12} \cdot 199^{4}$ |
$2$ |
8.0.6423507767296.4 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
7.744...704.8t36.a.a |
$7$ |
$ 2^{18} \cdot 73^{4}$ |
$2$ |
8.0.7444428488704.12 |
$C_2^3:(C_7: C_3)$ |
$F_8:C_3$ |
$C_2^3:(C_7: C_3)$ |
$1$ |
$-1$ |
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