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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 43 $ 6.0.443760.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{3} \cdot 3 \cdot 11 \cdot 13 $ 6.0.3926208.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 43 $ 6.2.621264.1 $S_4\times C_2$ $1$ $1$
$3$ $ 3 \cdot 5 \cdot 13 \cdot 19 $ 6.0.915135.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 7 \cdot 11 \cdot 13 $ 6.0.176176.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 71 $ 6.0.6049200.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 17 $ 6.2.873936.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 53 $ 6.0.6606768.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{3} \cdot 5 \cdot 7 \cdot 17 $ 6.0.3236800.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 5 \cdot 11 \cdot 23 $ 6.0.2327600.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 7 \cdot 11 \cdot 17 $ 6.0.230384.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 19 \cdot 23 $ 6.2.398544.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 19 \cdot 23 $ 6.2.398544.2 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 89 $ 6.2.5703120.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 11 \cdot 41 $ 6.2.2440812.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{4} \cdot 3 \cdot 5 \cdot 23 $ 6.0.2539200.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{4} \cdot 3 \cdot 7 \cdot 17 $ 6.0.1165248.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 23 $ 6.0.11197872.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 7 \cdot 11 \cdot 19 $ 6.2.257488.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 17 \cdot 29 $ 6.2.1206864.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{3} \cdot 5 \cdot 11 $ 6.0.641520.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 5 \cdot 7 \cdot 43 $ 6.0.1035440.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{3} \cdot 3 \cdot 11 \cdot 23 $ 6.4.12289728.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 17 \cdot 31 $ 6.0.1290096.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 $ 6.0.3803184.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 19 \cdot 29 $ 6.0.502512.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5 \cdot 113 $ 6.2.9193680.1 $S_4\times C_2$ $1$ $1$
$3$ $ 3 \cdot 5^{2} \cdot 7 \cdot 13 $ 6.0.1194375.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 5^{2} \cdot 23 $ 6.4.15870000.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{3} \cdot 5 \cdot 13 $ 9.3.38438712000.1 $(C_3^2:C_3):C_2$ $0$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 19 \cdot 31 $ 6.2.537168.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{3} \cdot 3 \cdot 5 \cdot 59 $ 6.0.3341760.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 3 \cdot 5 \cdot 11 \cdot 43 $ 6.4.3355935.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 13 \cdot 47 $ 6.2.4135248.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5 \cdot 41 $ 6.0.3630960.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 5 \cdot 7 \cdot 53 $ 6.2.1038800.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 5 \cdot 7 \cdot 53 $ 6.0.1573040.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 5 \cdot 13 \cdot 29 $ 4.0.7540.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 17 \cdot 37 $ 6.2.1539792.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 17 \cdot 37 $ 6.0.18990768.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{3} \cdot 3^{3} \cdot 5 \cdot 7 $ 6.2.11430720.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 $ 6.2.2782416.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{3} \cdot 3 \cdot 11 \cdot 29 $ 6.0.5328576.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 5 \cdot 43 $ 6.2.1331280.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 7 \cdot 31 $ 6.0.20342448.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 3 \cdot 23 \cdot 29 $ 6.0.21354672.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 2^{2} \cdot 5 \cdot 13 \cdot 31 $ 6.2.4997200.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 5 \cdot 13 \cdot 31 $ 6.2.12992720.1 $S_4\times C_2$ $1$ $1$
$3$ $ 2^{2} \cdot 3 \cdot 7 \cdot 97 $ 6.0.9484272.1 $S_4\times C_2$ $1$ $-1$
$3$ $ 3 \cdot 11 \cdot 13 \cdot 19 $ 6.2.2013297.1 $S_4\times C_2$ $1$ $1$
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