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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 5.61131.6t16.a.a | $5$ | $ 3 \cdot 7 \cdot 41 \cdot 71 $ | 6.0.61131.1 | $S_6$ | $1$ | $-1$ |
| 5.95667.6t16.a.a | $5$ | $ 3 \cdot 11 \cdot 13 \cdot 223 $ | 6.0.95667.1 | $S_6$ | $1$ | $-1$ |
| 5.116204.6t16.a.a | $5$ | $ 2^{2} \cdot 11 \cdot 19 \cdot 139 $ | 6.2.116204.1 | $S_6$ | $1$ | $1$ |
| 5.125488.6t16.a.a | $5$ | $ 2^{4} \cdot 11 \cdot 23 \cdot 31 $ | 6.0.125488.1 | $S_6$ | $1$ | $-1$ |
| 5.143773.6t16.a.a | $5$ | $ 7 \cdot 19 \cdot 23 \cdot 47 $ | 6.2.143773.1 | $S_6$ | $1$ | $1$ |
| 5.160320.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 5 \cdot 167 $ | 6.0.160320.1 | $S_6$ | $1$ | $-1$ |
| 5.186560.6t16.a.a | $5$ | $ 2^{6} \cdot 5 \cdot 11 \cdot 53 $ | 6.0.186560.1 | $S_6$ | $1$ | $-1$ |
| 5.197616.6t16.a.a | $5$ | $ 2^{4} \cdot 3 \cdot 23 \cdot 179 $ | 6.0.197616.1 | $S_6$ | $1$ | $-1$ |
| 5.198696.6t16.a.a | $5$ | $ 2^{3} \cdot 3 \cdot 17 \cdot 487 $ | 6.0.198696.1 | $S_6$ | $1$ | $-1$ |
| 5.199004.6t16.a.a | $5$ | $ 2^{2} \cdot 13 \cdot 43 \cdot 89 $ | 6.2.199004.1 | $S_6$ | $1$ | $1$ |
| 5.206245.6t16.a.a | $5$ | $ 5 \cdot 13 \cdot 19 \cdot 167 $ | 6.2.206245.1 | $S_6$ | $1$ | $1$ |
| 5.227829.6t16.a.a | $5$ | $ 3 \cdot 7 \cdot 19 \cdot 571 $ | 6.2.227829.1 | $S_6$ | $1$ | $1$ |
| 5.235941.6t16.a.a | $5$ | $ 3 \cdot 31 \cdot 43 \cdot 59 $ | 6.2.235941.1 | $S_6$ | $1$ | $1$ |
| 5.240576.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 7 \cdot 179 $ | 6.2.240576.1 | $S_6$ | $1$ | $1$ |
| 5.255633.6t16.a.a | $5$ | $ 3 \cdot 7^{2} \cdot 37 \cdot 47 $ | 6.2.255633.1 | $S_6$ | $1$ | $1$ |
| 5.258128.6t16.a.a | $5$ | $ 2^{4} \cdot 13 \cdot 17 \cdot 73 $ | 6.2.258128.1 | $S_6$ | $1$ | $1$ |
| 5.269395.6t16.a.a | $5$ | $ 5 \cdot 7 \cdot 43 \cdot 179 $ | 6.4.269395.1 | $S_6$ | $1$ | $3$ |
| 5.278844.6t16.a.a | $5$ | $ 2^{2} \cdot 3 \cdot 19 \cdot 1223 $ | 6.2.278844.1 | $S_6$ | $1$ | $1$ |
| 5.284493.6t16.a.a | $5$ | $ 3 \cdot 11 \cdot 37 \cdot 233 $ | 6.2.284493.1 | $S_6$ | $1$ | $1$ |
| 5.287144.6t16.a.a | $5$ | $ 2^{3} \cdot 11 \cdot 13 \cdot 251 $ | 6.2.287144.1 | $S_6$ | $1$ | $1$ |
| 5.289652.6t16.a.a | $5$ | $ 2^{2} \cdot 11 \cdot 29 \cdot 227 $ | 6.2.289652.1 | $S_6$ | $1$ | $1$ |
| 5.293568.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 11 \cdot 139 $ | 6.2.293568.1 | $S_6$ | $1$ | $1$ |
| 5.302965.6t16.a.a | $5$ | $ 5 \cdot 13 \cdot 59 \cdot 79 $ | 6.2.302965.1 | $S_6$ | $1$ | $1$ |
| 5.319056.6t16.a.a | $5$ | $ 2^{4} \cdot 3 \cdot 17^{2} \cdot 23 $ | 6.2.319056.1 | $S_6$ | $1$ | $1$ |
| 5.323661.6t16.a.a | $5$ | $ 3 \cdot 13 \cdot 43 \cdot 193 $ | 6.2.323661.1 | $S_6$ | $1$ | $1$ |
| 5.331224.6t16.a.a | $5$ | $ 2^{3} \cdot 3 \cdot 37 \cdot 373 $ | 6.2.331224.1 | $S_6$ | $1$ | $1$ |
| 5.346108.6t16.a.a | $5$ | $ 2^{2} \cdot 7 \cdot 47 \cdot 263 $ | 6.2.346108.1 | $S_6$ | $1$ | $1$ |
| 5.347097.6t16.a.a | $5$ | $ 3 \cdot 37 \cdot 53 \cdot 59 $ | 6.2.347097.1 | $S_6$ | $1$ | $1$ |
| 5.348392.6t16.a.a | $5$ | $ 2^{3} \cdot 11 \cdot 37 \cdot 107 $ | 6.2.348392.1 | $S_6$ | $1$ | $1$ |
| 5.350260.6t16.a.a | $5$ | $ 2^{2} \cdot 5 \cdot 83 \cdot 211 $ | 6.2.350260.1 | $S_6$ | $1$ | $1$ |
| 5.353288.6t16.a.a | $5$ | $ 2^{3} \cdot 13 \cdot 43 \cdot 79 $ | 6.2.353288.1 | $S_6$ | $1$ | $1$ |
| 5.357200.6t16.a.a | $5$ | $ 2^{4} \cdot 5^{2} \cdot 19 \cdot 47 $ | 6.2.357200.1 | $S_6$ | $1$ | $1$ |
| 5.357460.6t16.a.a | $5$ | $ 2^{2} \cdot 5 \cdot 61 \cdot 293 $ | 6.2.357460.1 | $S_6$ | $1$ | $1$ |
| 5.508480.6t16.a.a | $5$ | $ 2^{6} \cdot 5 \cdot 7 \cdot 227 $ | 6.4.508480.1 | $S_6$ | $1$ | $3$ |
| 5.629952.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 17 \cdot 193 $ | 6.4.629952.1 | $S_6$ | $1$ | $3$ |
| 5.734483.6t16.a.a | $5$ | $ 19 \cdot 29 \cdot 31 \cdot 43 $ | 6.4.734483.1 | $S_6$ | $1$ | $3$ |
| 5.852876.6t16.a.a | $5$ | $ 2^{2} \cdot 3^{3} \cdot 53 \cdot 149 $ | 6.4.852876.1 | $S_6$ | $1$ | $3$ |
| 5.873664.6t16.a.a | $5$ | $ 2^{6} \cdot 11 \cdot 17 \cdot 73 $ | 6.4.873664.1 | $S_6$ | $1$ | $3$ |
| 5.910035.6t16.a.a | $5$ | $ 3^{5} \cdot 5 \cdot 7 \cdot 107 $ | 6.4.910035.1 | $S_6$ | $1$ | $3$ |
| 5.942256.6t16.a.a | $5$ | $ 2^{4} \cdot 7 \cdot 47 \cdot 179 $ | 6.4.942256.1 | $S_6$ | $1$ | $3$ |
| 5.3822093.6t16.a.a | $5$ | $ 3^{3} \cdot 11 \cdot 17 \cdot 757 $ | 6.6.3822093.1 | $S_6$ | $1$ | $5$ |
| 5.5475600.10t13.b.a | $5$ | $ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2}$ | 5.1.1095120.2 | $S_5$ | $1$ | $1$ |
| 5.5519253.10t39.a.a | $5$ | $ 3 \cdot 19 \cdot 37 \cdot 2617 $ | 10.10.823301450757.1 | $C_2 \wr S_5$ | $1$ | $5$ |
| 5.6051600.10t13.b.a | $5$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41^{2}$ | 5.3.2017200.1 | $S_5$ | $1$ | $1$ |
| 5.6241669.6t16.a.a | $5$ | $ 7^{2} \cdot 17 \cdot 59 \cdot 127 $ | 6.6.6241669.1 | $S_6$ | $1$ | $5$ |
| 5.6350400.10t13.b.a | $5$ | $ 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2}$ | 5.1.317520.1 | $S_5$ | $1$ | $1$ |
| 5.6799312.6t16.a.a | $5$ | $ 2^{4} \cdot 13 \cdot 97 \cdot 337 $ | 6.6.6799312.1 | $S_6$ | $1$ | $5$ |
| 5.7033104.10t13.a.a | $5$ | $ 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17^{2}$ | 5.1.31824.1 | $S_5$ | $1$ | $1$ |
| 5.7108233.6t16.a.a | $5$ | $ 3 \cdot 11 \cdot 47 \cdot 4583 $ | 6.6.7108233.1 | $S_6$ | $1$ | $5$ |
| 5.7683984.10t13.a.a | $5$ | $ 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 11^{2}$ | 5.1.99792.1 | $S_5$ | $1$ | $1$ |