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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17 $ 6.0.8392560.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 11 \cdot 13 $ 6.2.4372368.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 19 $ 6.0.11559600.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 37 $ 6.0.34498800.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 41 $ 6.0.8472240.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 11 \cdot 19 $ 6.0.44030448.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 23 $ 6.0.8252400.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $ 4.2.18480.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 13 \cdot 17 $ 6.0.6757296.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 47 $ 6.2.77933520.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 47 $ 6.2.18555600.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 19 \cdot 23 $ 9.3.4506486462000.1 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 $ 4.4.75348.1 $S_4$ $1$ $3$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 47 $ 4.2.98700.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 $ 4.2.108780.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 $ 4.2.122892.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 $ 4.2.168300.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 19^{2}$ 4.2.281580.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 $ 4.2.396396.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 47 $ 4.2.414540.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 41 $ 4.2.602700.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 $ 4.2.699660.1 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2}$ 4.2.946764.2 $S_4$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13^{2}$ 6.2.4372368.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{6} \cdot 7 \cdot 11 \cdot 13 \cdot 19 $ 6.2.300652352.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 13 $ 6.2.1042470000.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 $ 6.0.6757296.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.28711246236750000.3 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.28711246236750000.4 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.28711246236750000.6 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.1860298929720000.1 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.1860298929720000.2 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ 9.3.1860298929720000.3 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 23^{2}$ 6.0.8252400.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2}$ 6.0.8392560.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 41^{2}$ 6.0.8472240.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{6} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 19 $ 6.2.527117760.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{6} \cdot 3 \cdot 13 \cdot 19 \cdot 47 $ 6.0.550545216.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.1 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.2 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.3 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.4 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.5 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.6 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.7 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.8 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ 9.3.90724673403000000.9 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 19 $ 6.0.11559600.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 97 $ 6.2.2212996800.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{6} \cdot 5 \cdot 13 \cdot 19 \cdot 53 $ 6.2.1034712640.1 $S_4\times C_2$ $1$ $1$
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