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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 4.100...072.10t12.a.a | $4$ | $ 2^{4} \cdot 29^{3} \cdot 137^{3}$ | 5.1.63568.2 | $S_5$ | $1$ | $0$ |
| 4.100...072.10t12.b.a | $4$ | $ 2^{4} \cdot 29^{3} \cdot 137^{3}$ | 5.1.63568.1 | $S_5$ | $1$ | $0$ |
| 4.100...989.12t34.b.a | $4$ | $ 3^{5} \cdot 7^{3} \cdot 59^{4}$ | 6.4.870413607.2 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.101...704.10t12.a.a | $4$ | $ 2^{4} \cdot 3989^{3}$ | 5.1.63824.1 | $S_5$ | $1$ | $0$ |
| 4.101...704.10t12.b.a | $4$ | $ 2^{4} \cdot 3989^{3}$ | 5.1.63824.2 | $S_5$ | $1$ | $0$ |
| 4.101...456.12t34.b.a | $4$ | $ 2^{4} \cdot 31^{4} \cdot 41^{3}$ | 6.4.264932324.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.102...600.12t34.a.a | $4$ | $ 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 29^{3}$ | 6.4.380538000.1 | $C_3^2:D_4$ | $1$ | $-2$ |
| 4.102...432.10t12.a.a | $4$ | $ 2^{4} \cdot 4003^{3}$ | 5.3.64048.1 | $S_5$ | $1$ | $-2$ |
| 4.103...864.10t12.a.a | $4$ | $ 2^{9} \cdot 3^{3} \cdot 421^{3}$ | 5.1.40416.1 | $S_5$ | $1$ | $0$ |
| 4.103...816.12t34.b.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 643^{3}$ | 6.0.7499952.5 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.105...125.12t34.a.a | $4$ | $ 5^{4} \cdot 29^{3} \cdot 41^{3}$ | 6.2.3715625.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.105...125.12t34.b.a | $4$ | $ 5^{4} \cdot 29^{3} \cdot 41^{3}$ | 6.2.3715625.2 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.105...448.10t12.a.a | $4$ | $ 2^{6} \cdot 2543^{3}$ | 5.1.40688.1 | $S_5$ | $1$ | $0$ |
| 4.105...000.12t34.b.a | $4$ | $ 2^{6} \cdot 5^{3} \cdot 509^{3}$ | 6.0.651520.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.105...344.8t39.a.a | $4$ | $ 2^{8} \cdot 3^{5} \cdot 257^{3}$ | 8.4.12326328576.1 | $C_2^3:S_4$ | $1$ | $-2$ |
| 4.105...344.8t44.a.a | $4$ | $ 2^{8} \cdot 3^{5} \cdot 257^{3}$ | 8.2.12326328576.1 | $C_2 \wr S_4$ | $1$ | $0$ |
| 4.105...344.8t44.b.a | $4$ | $ 2^{8} \cdot 3^{5} \cdot 257^{3}$ | 8.2.12326328576.1 | $C_2 \wr S_4$ | $1$ | $0$ |
| 4.106...008.12t34.b.a | $4$ | $ 2^{8} \cdot 1607^{3}$ | 6.4.3291136.1 | $C_3^2:D_4$ | $1$ | $-2$ |
| 4.106...416.10t12.a.a | $4$ | $ 2^{4} \cdot 4051^{3}$ | 5.3.64816.1 | $S_5$ | $1$ | $-2$ |
| 4.106...424.12t34.a.a | $4$ | $ 2^{8} \cdot 1609^{3}$ | 6.2.3295232.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...989.10t12.a.a | $4$ | $ 53^{3} \cdot 193^{3}$ | 5.1.10229.1 | $S_5$ | $1$ | $0$ |
| 4.107...344.12t34.a.a | $4$ | $ 2^{6} \cdot 7^{4} \cdot 191^{3}$ | 6.0.12840548.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...488.12t34.b.a | $4$ | $ 2^{4} \cdot 3^{8} \cdot 7^{3} \cdot 31^{3}$ | 6.0.68339376.3 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...032.12t34.a.a | $4$ | $ 2^{6} \cdot 17^{3} \cdot 43^{4}$ | 6.4.72673096.2 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...032.12t34.b.a | $4$ | $ 2^{6} \cdot 17^{3} \cdot 43^{4}$ | 6.4.145346192.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...032.12t34.f.a | $4$ | $ 2^{6} \cdot 17^{3} \cdot 43^{4}$ | 6.2.72673096.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...125.12t34.a.a | $4$ | $ 5^{3} \cdot 92761^{2}$ | 6.2.11595125.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.107...649.12t34.a.a | $4$ | $ 7^{2} \cdot 2801^{3}$ | 6.0.960743.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.108...832.12t34.a.a | $4$ | $ 2^{6} \cdot 17^{3} \cdot 151^{3}$ | 6.4.1314304.1 | $C_3^2:D_4$ | $1$ | $-2$ |
| 4.108...109.12t34.a.a | $4$ | $ 3^{6} \cdot 7^{3} \cdot 163^{3}$ | 6.0.2495367.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.108...000.12t34.a.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3}$ | 6.0.24570000.2 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.108...000.12t34.b.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3}$ | 6.0.24570000.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.108...933.10t12.a.a | $4$ | $ 43^{3} \cdot 239^{3}$ | 5.1.10277.1 | $S_5$ | $1$ | $0$ |
| 4.108...432.12t34.b.a | $4$ | $ 2^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23^{3}$ | 6.0.901270916.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.109...552.8t35.b.a | $4$ | $ 2^{13} \cdot 7^{3} \cdot 73^{3}$ | 8.2.2143289344.3 | $C_2 \wr C_2\wr C_2$ | $1$ | $0$ |
| 4.109...112.12t34.b.a | $4$ | $ 2^{6} \cdot 3^{3} \cdot 859^{3}$ | 6.0.1319424.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.109...437.12t34.a.a | $4$ | $ 3^{2} \cdot 4957^{3}$ | 6.0.133839.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.109...000.10t12.a.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.1.68600000000.1 | $S_5$ | $1$ | $0$ |
| 4.109...000.10t12.b.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.1.68600000000.2 | $S_5$ | $1$ | $0$ |
| 4.109...000.10t12.c.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.3.274400000000.1 | $S_5$ | $1$ | $-2$ |
| 4.109...000.10t12.d.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.3.274400000000.2 | $S_5$ | $1$ | $-2$ |
| 4.109...000.10t12.e.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.1.274400000000.1 | $S_5$ | $1$ | $0$ |
| 4.109...000.10t12.f.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.3.68600000000.1 | $S_5$ | $1$ | $-2$ |
| 4.109...000.10t12.g.a | $4$ | $ 2^{13} \cdot 5^{8} \cdot 7^{3}$ | 5.3.5600000000.1 | $S_5$ | $1$ | $-2$ |
| 4.110...289.10t12.a.a | $4$ | $ 3^{3} \cdot 11^{3} \cdot 313^{3}$ | 5.1.10329.1 | $S_5$ | $1$ | $0$ |
| 4.110...625.12t34.a.a | $4$ | $ 3^{3} \cdot 5^{4} \cdot 13^{3} \cdot 31^{3}$ | 6.0.20401875.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.110...848.12t34.a.a | $4$ | $ 2^{6} \cdot 7^{4} \cdot 193^{3}$ | 6.2.237257216.1 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.110...848.12t34.b.a | $4$ | $ 2^{6} \cdot 7^{4} \cdot 193^{3}$ | 6.2.237257216.2 | $C_3^2:D_4$ | $1$ | $0$ |
| 4.110...044.10t12.a.a | $4$ | $ 2^{2} \cdot 6521^{3}$ | 5.1.26084.1 | $S_5$ | $1$ | $0$ |
| 4.111...400.12t34.a.a | $4$ | $ 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 19^{4}$ | 6.2.615028480.2 | $C_3^2:D_4$ | $1$ | $0$ |