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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$2$ $ 2^{2} \cdot 13 $ 6.0.10816.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 19 $ 6.0.9747.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{3} \cdot 3^{2}$ 6.0.41472.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3 \cdot 7 $ 6.0.21168.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{2} \cdot 11 $ 6.0.107811.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 37 $ 6.0.36963.1 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 19 $ 6.0.336091.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 5 \cdot 7 $ 6.0.392000.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 37 $ 6.0.87616.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{3} \cdot 19 $ 6.0.184832.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3 \cdot 13 $ 6.0.73008.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{3} \cdot 3 \cdot 7 $ 6.0.677376.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3^{2} \cdot 5 $ 6.0.648000.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{3} \cdot 7 $ 6.0.107163.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 73 $ 6.0.143883.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{5}$ 6.0.177147.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 61 $ 6.0.238144.2 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 37 $ 6.0.469567.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 7 \cdot 13 $ 6.0.223587.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 7 \cdot 13 $ 6.0.223587.2 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{3} \cdot 5 \cdot 7 $ 6.0.3136000.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 5 \cdot 19 $ 6.0.1218375.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 73 $ 6.0.341056.1 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 43 $ 6.0.634207.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{2} \cdot 5 \cdot 7 $ 6.0.3472875.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3^{4}$ 6.0.314928.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3^{4}$ 6.0.419904.3 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 109 $ 6.0.320787.3 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 47 $ 6.0.5087327.1 $S_3\times C_3$ $0$ $0$
$2$ $ 11 \cdot 31 $ 6.0.1279091.2 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{3} \cdot 43 $ 6.0.946688.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{3} \cdot 13 $ 6.0.369603.2 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 7 \cdot 13 $ 6.0.6889792.1 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 53 $ 6.6.7294973.1 $S_3\times C_3$ $0$ $2$
$2$ $ 2^{2} \cdot 3 \cdot 31 $ 6.0.415152.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 5 \cdot 19 $ 6.6.722000.1 $S_3\times C_3$ $0$ $2$
$2$ $ 3 \cdot 127 $ 6.0.435483.1 $S_3\times C_3$ $0$ $0$
$2$ $ 5 \cdot 7 \cdot 11 $ 6.0.8152375.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 97 $ 6.0.602176.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3^{2} \cdot 11 $ 6.0.1724976.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 3^{2} \cdot 11 $ 6.0.1724976.2 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{4} \cdot 5 $ 6.0.2460375.2 $S_3\times C_3$ $0$ $0$
$2$ $ 11 \cdot 37 $ 6.0.1822139.1 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 59 $ 6.0.10063571.1 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 59 $ 6.0.10063571.2 $S_3\times C_3$ $0$ $0$
$2$ $ 7 \cdot 59 $ 6.0.10063571.3 $S_3\times C_3$ $0$ $0$
$2$ $ 3^{2} \cdot 47 $ 6.0.8409663.1 $S_3\times C_3$ $0$ $0$
$2$ $ 2^{2} \cdot 109 $ 6.0.760384.2 $S_3\times C_3$ $0$ $0$
$2$ $ 5 \cdot 7 \cdot 13 $ 6.0.7245875.1 $S_3\times C_3$ $0$ $0$
$2$ $ 3 \cdot 5 \cdot 31 $ 6.0.3243375.1 $S_3\times C_3$ $0$ $0$
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