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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 5.42316.6t16.a.a | $5$ | $ 2^{2} \cdot 71 \cdot 149 $ | 6.0.42316.1 | $S_6$ | $1$ | $-1$ |
| 5.45508.6t16.a.a | $5$ | $ 2^{2} \cdot 31 \cdot 367 $ | 6.0.45508.1 | $S_6$ | $1$ | $-1$ |
| 5.45872.6t16.a.a | $5$ | $ 2^{4} \cdot 47 \cdot 61 $ | 6.0.45872.1 | $S_6$ | $1$ | $-1$ |
| 5.54691.6t16.a.a | $5$ | $ 7 \cdot 13 \cdot 601 $ | 6.0.54691.1 | $S_6$ | $1$ | $-1$ |
| 5.57152.6t16.a.a | $5$ | $ 2^{6} \cdot 19 \cdot 47 $ | 6.2.57152.1 | $S_6$ | $1$ | $1$ |
| 5.59555.6t16.a.a | $5$ | $ 5 \cdot 43 \cdot 277 $ | 6.0.59555.1 | $S_6$ | $1$ | $-1$ |
| 5.60175.6t16.a.a | $5$ | $ 5^{2} \cdot 29 \cdot 83 $ | 6.0.60175.1 | $S_6$ | $1$ | $-1$ |
| 5.63023.6t16.a.a | $5$ | $ 19 \cdot 31 \cdot 107 $ | 6.0.63023.1 | $S_6$ | $1$ | $-1$ |
| 5.65231.6t16.a.a | $5$ | $ 37 \cdot 41 \cdot 43 $ | 6.0.65231.1 | $S_6$ | $1$ | $-1$ |
| 5.65405.6t16.a.a | $5$ | $ 5 \cdot 103 \cdot 127 $ | 6.2.65405.1 | $S_6$ | $1$ | $1$ |
| 5.66928.6t16.a.a | $5$ | $ 2^{4} \cdot 47 \cdot 89 $ | 6.0.66928.1 | $S_6$ | $1$ | $-1$ |
| 5.67595.6t16.a.a | $5$ | $ 5 \cdot 11 \cdot 1229 $ | 6.0.67595.1 | $S_6$ | $1$ | $-1$ |
| 5.70629.6t16.a.a | $5$ | $ 3 \cdot 13 \cdot 1811 $ | 6.2.70629.1 | $S_6$ | $1$ | $1$ |
| 5.70967.6t16.a.a | $5$ | $ 13 \cdot 53 \cdot 103 $ | 6.0.70967.1 | $S_6$ | $1$ | $-1$ |
| 5.71021.6t16.a.a | $5$ | $ 29 \cdot 31 \cdot 79 $ | 6.2.71021.1 | $S_6$ | $1$ | $1$ |
| 5.72063.6t16.a.a | $5$ | $ 3^{3} \cdot 17 \cdot 157 $ | 6.0.72063.1 | $S_6$ | $1$ | $-1$ |
| 5.74517.6t16.a.a | $5$ | $ 3 \cdot 59 \cdot 421 $ | 6.2.74517.1 | $S_6$ | $1$ | $1$ |
| 5.80192.6t16.a.a | $5$ | $ 2^{6} \cdot 7 \cdot 179 $ | 6.0.80192.1 | $S_6$ | $1$ | $-1$ |
| 5.82325.6t16.a.a | $5$ | $ 5^{2} \cdot 37 \cdot 89 $ | 6.2.82325.1 | $S_6$ | $1$ | $1$ |
| 5.85952.6t16.a.a | $5$ | $ 2^{6} \cdot 17 \cdot 79 $ | 6.2.85952.1 | $S_6$ | $1$ | $1$ |
| 5.86301.6t16.a.a | $5$ | $ 3^{2} \cdot 43 \cdot 223 $ | 6.2.86301.1 | $S_6$ | $1$ | $1$ |
| 5.92389.6t16.a.a | $5$ | $ 11 \cdot 37 \cdot 227 $ | 6.2.92389.1 | $S_6$ | $1$ | $1$ |
| 5.92637.6t16.a.a | $5$ | $ 3^{3} \cdot 47 \cdot 73 $ | 6.2.92637.1 | $S_6$ | $1$ | $1$ |
| 5.93895.6t16.a.a | $5$ | $ 5 \cdot 89 \cdot 211 $ | 6.0.93895.1 | $S_6$ | $1$ | $-1$ |
| 5.95808.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 499 $ | 6.2.95808.1 | $S_6$ | $1$ | $1$ |
| 5.95852.6t16.a.a | $5$ | $ 2^{2} \cdot 31 \cdot 773 $ | 6.2.95852.1 | $S_6$ | $1$ | $1$ |
| 5.97197.6t16.a.a | $5$ | $ 3 \cdot 179 \cdot 181 $ | 6.2.97197.1 | $S_6$ | $1$ | $1$ |
| 5.97909.6t16.a.a | $5$ | $ 7 \cdot 71 \cdot 197 $ | 6.2.97909.1 | $S_6$ | $1$ | $1$ |
| 5.98552.6t16.a.a | $5$ | $ 2^{3} \cdot 97 \cdot 127 $ | 6.2.98552.1 | $S_6$ | $1$ | $1$ |
| 5.105408.6t16.a.a | $5$ | $ 2^{6} \cdot 3^{3} \cdot 61 $ | 6.2.105408.1 | $S_6$ | $1$ | $1$ |
| 5.106412.6t16.a.a | $5$ | $ 2^{2} \cdot 37 \cdot 719 $ | 6.2.106412.1 | $S_6$ | $1$ | $1$ |
| 5.109735.6t16.a.a | $5$ | $ 5 \cdot 17 \cdot 1291 $ | 6.0.109735.1 | $S_6$ | $1$ | $-1$ |
| 5.112748.6t16.a.a | $5$ | $ 2^{2} \cdot 71 \cdot 397 $ | 6.0.112748.1 | $S_6$ | $1$ | $-1$ |
| 5.114069.6t16.a.a | $5$ | $ 3 \cdot 47 \cdot 809 $ | 6.2.114069.1 | $S_6$ | $1$ | $1$ |
| 5.116053.6t16.a.a | $5$ | $ 7 \cdot 59 \cdot 281 $ | 6.2.116053.1 | $S_6$ | $1$ | $1$ |
| 5.116701.6t16.a.a | $5$ | $ 13 \cdot 47 \cdot 191 $ | 6.2.116701.1 | $S_6$ | $1$ | $1$ |
| 5.117813.6t16.a.a | $5$ | $ 3 \cdot 173 \cdot 227 $ | 6.2.117813.1 | $S_6$ | $1$ | $1$ |
| 5.118476.6t16.a.a | $5$ | $ 2^{2} \cdot 3^{3} \cdot 1097 $ | 6.0.118476.1 | $S_6$ | $1$ | $-1$ |
| 5.118987.6t16.a.a | $5$ | $ 11 \cdot 29 \cdot 373 $ | 6.4.118987.1 | $S_6$ | $1$ | $3$ |
| 5.122560.6t16.a.a | $5$ | $ 2^{6} \cdot 5 \cdot 383 $ | 6.2.122560.1 | $S_6$ | $1$ | $1$ |
| 5.123072.6t16.a.a | $5$ | $ 2^{6} \cdot 3 \cdot 641 $ | 6.0.123072.1 | $S_6$ | $1$ | $-1$ |
| 5.123344.6t16.a.a | $5$ | $ 2^{4} \cdot 13 \cdot 593 $ | 6.2.123344.1 | $S_6$ | $1$ | $1$ |
| 5.124136.6t16.a.a | $5$ | $ 2^{3} \cdot 59 \cdot 263 $ | 6.0.124136.1 | $S_6$ | $1$ | $-1$ |
| 5.124333.6t16.a.a | $5$ | $ 11 \cdot 89 \cdot 127 $ | 6.2.124333.1 | $S_6$ | $1$ | $1$ |
| 5.125031.6t16.a.a | $5$ | $ 3 \cdot 71 \cdot 587 $ | 6.0.125031.1 | $S_6$ | $1$ | $-1$ |
| 5.125341.6t16.a.a | $5$ | $ 17 \cdot 73 \cdot 101 $ | 6.2.125341.1 | $S_6$ | $1$ | $1$ |
| 5.125744.6t16.a.a | $5$ | $ 2^{4} \cdot 29 \cdot 271 $ | 6.0.125744.1 | $S_6$ | $1$ | $-1$ |
| 5.126453.6t16.a.a | $5$ | $ 3 \cdot 61 \cdot 691 $ | 6.2.126453.1 | $S_6$ | $1$ | $1$ |
| 5.127359.6t16.a.a | $5$ | $ 3^{3} \cdot 53 \cdot 89 $ | 6.0.127359.1 | $S_6$ | $1$ | $-1$ |
| 5.129328.6t16.a.a | $5$ | $ 2^{4} \cdot 59 \cdot 137 $ | 6.0.129328.1 | $S_6$ | $1$ | $-1$ |