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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$12$ $ 2^{16} \cdot 5^{6} \cdot 41^{5}$ 8.4.11027360000.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{16} \cdot 13^{5} \cdot 17^{6}$ 8.4.46974883072.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 3^{15} \cdot 151^{5}$ 8.0.7529733837.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{21} \cdot 97^{6}$ 8.4.45326991872.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{16} \cdot 3^{15} \cdot 19^{5}$ 8.0.3840162048.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 43^{5} \cdot 53^{6}$ 8.2.339290683.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{33} \cdot 53^{5}$ 8.0.19513606144.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 5^{10} \cdot 211^{5}$ 8.6.146780171875.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 3^{10} \cdot 5^{6} \cdot 89^{5}$ 8.4.321201500625.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{15} \cdot 13^{5}$ 8.2.19680620544.4 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 3^{18} \cdot 5^{6}$ 8.2.116640000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 3^{6} \cdot 7^{6} \cdot 17^{5}$ 8.2.15287762448.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 3^{27}$ 8.0.45349632.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{26} \cdot 167^{5}$ 8.2.305231495168.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 3^{6} \cdot 103^{5}$ 8.0.22658787072.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{30} \cdot 97^{5}$ 8.4.239251750912.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 13^{5} \cdot 17^{6}$ 8.4.1111831552.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 13^{5} \cdot 17^{6}$ 8.4.187899532288.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 5^{8} \cdot 17^{6}$ 8.2.13363360000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{41} \cdot 3^{14}$ 8.2.13759414272.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 11^{6} \cdot 23^{5}$ 8.0.45603084032.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{18} \cdot 193^{6}$ 8.2.88799232064.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{41} \cdot 23^{5}$ 8.4.25516048384.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 5^{10} \cdot 271^{5}$ 8.2.310976734375.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 13^{5} \cdot 29^{6}$ 8.2.24862341712.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{22} \cdot 7^{5} \cdot 11^{8}$ 8.6.82278203392.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 5^{5} \cdot 41^{6}$ 8.4.14467896320.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{23} \cdot 17^{10}$ 8.2.3089608832.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{10} \cdot 23^{6} \cdot 41^{5}$ 8.0.77147686244.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{16} \cdot 5^{10} \cdot 31^{5}$ 8.2.124000000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 5^{10} \cdot 31^{5}$ 8.2.119164000000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 5^{10} \cdot 31^{5}$ 8.2.119164000000.2 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{27} \cdot 73^{6}$ 8.4.58159597568.2 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{8} \cdot 3^{15} \cdot 7^{4} \cdot 19^{5}$ 8.0.11760496272.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{8} \cdot 3^{15} \cdot 43^{6}$ 8.2.119630684592.3 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 7^{5} \cdot 53^{6}$ 8.2.14139741952.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 5^{10} \cdot 19^{5}$ 8.4.27436000000.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{15} \cdot 11^{6}$ 8.4.32788343808.3 $S_4\wr C_2$ $1$ $0$
$12$ $ 3^{22} \cdot 7^{4} \cdot 13^{5}$ 8.0.6356801997.2 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{14} \cdot 5^{8} \cdot 41^{6}$ 8.2.28257610000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 5^{11} \cdot 229^{5}$ 8.4.938202265625.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{41} \cdot 3^{15}$ 8.4.4586471424.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{14} \cdot 353^{6}$ 8.2.248438446096.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{20} \cdot 3^{14} \cdot 23^{5}$ 8.2.618098688.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{12} \cdot 17^{5} \cdot 89^{5}$ 8.0.886659250432.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 5^{6} \cdot 19^{5} \cdot 61^{5}$ 8.2.2695399375.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 3^{22} \cdot 7^{5}$ 8.0.2916548208.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{10} \cdot 7^{5} \cdot 113^{6}$ 8.2.4565326108.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{16} \cdot 3^{4} \cdot 13^{6} \cdot 17^{5}$ 8.4.1118677248.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 5^{6} \cdot 11^{5} \cdot 109^{5}$ 8.2.8903324375.1 $S_4\wr C_2$ $1$ $2$
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