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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
3.229.4t5.a.a $3$ $ 229 $ 4.0.229.1 $S_4$ $1$ $-1$
3.257.4t5.a.a $3$ $ 257 $ 4.0.257.1 $S_4$ $1$ $-1$
3.283.4t5.b.a $3$ $ 283 $ 4.2.283.1 $S_4$ $1$ $1$
3.331.4t5.a.a $3$ $ 331 $ 4.2.331.1 $S_4$ $1$ $1$
3.491.4t5.b.a $3$ $ 491 $ 4.2.491.1 $S_4$ $1$ $1$
3.563.4t5.b.a $3$ $ 563 $ 4.2.563.1 $S_4$ $1$ $1$
3.592.4t5.a.a $3$ $ 2^{4} \cdot 37 $ 4.0.592.1 $S_4$ $1$ $-1$
3.643.4t5.a.a $3$ $ 643 $ 4.2.643.1 $S_4$ $1$ $1$
3.688.4t5.b.a $3$ $ 2^{4} \cdot 43 $ 4.2.688.1 $S_4$ $1$ $1$
3.697.4t5.a.a $3$ $ 17 \cdot 41 $ 4.0.697.1 $S_4$ $1$ $-1$
3.731.4t5.a.a $3$ $ 17 \cdot 43 $ 4.2.731.1 $S_4$ $1$ $1$
3.751.4t5.a.a $3$ $ 751 $ 4.2.751.1 $S_4$ $1$ $1$
3.761.4t5.a.a $3$ $ 761 $ 4.0.761.1 $S_4$ $1$ $-1$
3.788.4t5.a.a $3$ $ 2^{2} \cdot 197 $ 4.0.788.1 $S_4$ $1$ $-1$
3.848.4t5.b.a $3$ $ 2^{4} \cdot 53 $ 4.2.848.1 $S_4$ $1$ $1$
3.892.4t5.a.a $3$ $ 2^{2} \cdot 223 $ 4.0.892.1 $S_4$ $1$ $-1$
3.976.4t5.b.a $3$ $ 2^{4} \cdot 61 $ 4.2.976.1 $S_4$ $1$ $1$
3.985.4t5.a.a $3$ $ 5 \cdot 197 $ 4.0.985.1 $S_4$ $1$ $-1$
3.1016.4t5.a.a $3$ $ 2^{3} \cdot 127 $ 4.0.1016.1 $S_4$ $1$ $-1$
3.1076.4t5.a.a $3$ $ 2^{2} \cdot 269 $ 4.0.1076.1 $S_4$ $1$ $-1$
3.1099.4t5.a.a $3$ $ 7 \cdot 157 $ 4.2.1099.1 $S_4$ $1$ $1$
3.1107.4t5.a.a $3$ $ 3^{3} \cdot 41 $ 4.2.1107.1 $S_4$ $1$ $1$
3.1129.4t5.a.a $3$ $ 1129 $ 4.0.1129.1 $S_4$ $1$ $-1$
3.1192.4t5.a.a $3$ $ 2^{3} \cdot 149 $ 4.2.1192.1 $S_4$ $1$ $1$
3.1229.4t5.a.a $3$ $ 1229 $ 4.0.1229.1 $S_4$ $1$ $-1$
3.1255.4t5.a.a $3$ $ 5 \cdot 251 $ 4.2.1255.1 $S_4$ $1$ $1$
3.1257.4t5.a.a $3$ $ 3 \cdot 419 $ 4.0.1257.1 $S_4$ $1$ $-1$
3.1264.4t5.a.a $3$ $ 2^{4} \cdot 79 $ 4.0.1264.1 $S_4$ $1$ $-1$
3.1328.4t5.b.a $3$ $ 2^{4} \cdot 83 $ 4.2.1328.1 $S_4$ $1$ $1$
3.1371.4t5.a.a $3$ $ 3 \cdot 457 $ 4.2.1371.1 $S_4$ $1$ $1$
3.1384.4t5.a.a $3$ $ 2^{3} \cdot 173 $ 4.0.1384.1 $S_4$ $1$ $-1$
3.1396.4t5.a.a $3$ $ 2^{2} \cdot 349 $ 4.0.1396.1 $S_4$ $1$ $-1$
3.1399.4t5.a.a $3$ $ 1399 $ 4.2.1399.1 $S_4$ $1$ $1$
3.1423.4t5.a.a $3$ $ 1423 $ 4.2.1423.1 $S_4$ $1$ $1$
3.1424.4t5.a.a $3$ $ 2^{4} \cdot 89 $ 4.2.1424.1 $S_4$ $1$ $1$
3.1436.4t5.a.a $3$ $ 2^{2} \cdot 359 $ 4.0.1436.1 $S_4$ $1$ $-1$
3.1444.6t8.a.a $3$ $ 2^{2} \cdot 19^{2}$ 4.2.27436.1 $S_4$ $1$ $-1$
3.1456.4t5.b.a $3$ $ 2^{4} \cdot 7 \cdot 13 $ 4.2.1456.1 $S_4$ $1$ $1$
3.1472.4t5.b.a $3$ $ 2^{6} \cdot 23 $ 4.2.1472.1 $S_4$ $1$ $1$
3.1489.4t5.a.a $3$ $ 1489 $ 4.0.1489.1 $S_4$ $1$ $-1$
3.1492.4t5.a.a $3$ $ 2^{2} \cdot 373 $ 4.0.1492.1 $S_4$ $1$ $-1$
3.1509.4t5.a.a $3$ $ 3 \cdot 503 $ 4.0.1509.1 $S_4$ $1$ $-1$
3.1556.4t5.a.a $3$ $ 2^{2} \cdot 389 $ 4.0.1556.1 $S_4$ $1$ $-1$
3.1588.4t5.a.a $3$ $ 2^{2} \cdot 397 $ 4.2.1588.1 $S_4$ $1$ $1$
3.1593.4t5.a.a $3$ $ 3^{3} \cdot 59 $ 4.0.1593.1 $S_4$ $1$ $-1$
3.1616.4t5.a.a $3$ $ 2^{4} \cdot 101 $ 4.0.1616.1 $S_4$ $1$ $-1$
3.1732.4t5.a.a $3$ $ 2^{2} \cdot 433 $ 4.2.1732.1 $S_4$ $1$ $1$
3.1765.4t5.a.a $3$ $ 5 \cdot 353 $ 4.0.1765.1 $S_4$ $1$ $-1$
3.1791.4t5.b.a $3$ $ 3^{2} \cdot 199 $ 4.2.1791.1 $S_4$ $1$ $1$
3.1823.4t5.a.a $3$ $ 1823 $ 4.2.1823.1 $S_4$ $1$ $1$
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