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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$6$ $ 3^{10} \cdot 7^{3}$ 8.0.2977309629.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{2} \cdot 13^{3} \cdot 17^{3}$ 8.4.124043050612.1 $S_4\wr C_2$ $1$ $2$
$6$ $ 2^{19} \cdot 3^{2} \cdot 5^{2}$ 8.0.7549747200.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{20} \cdot 11^{2}$ 8.0.4060086272.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{8} \cdot 5^{3}$ 8.2.1049760000.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{15} \cdot 3^{8}$ 8.2.1719926784.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 17^{2}$ 8.2.2588848128.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 7^{4} \cdot 19^{2}$ 8.2.6212942848.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 3^{6} \cdot 7^{3} \cdot 31^{2}$ 8.0.720885501.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{12} \cdot 3^{10}$ 8.0.45349632.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 7^{3}$ 8.2.5377010688.5 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{16} \cdot 3^{4} \cdot 7^{2}$ 8.0.2080899072.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 19^{2}$ 8.0.808455168.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 19^{2}$ 8.2.3233820672.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 5^{5} \cdot 19^{2}$ 8.2.1444000000.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{6} \cdot 5^{2}$ 8.0.14332723200.3 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{6} \cdot 5^{2}$ 8.2.3583180800.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 5^{3} \cdot 97^{2}$ 8.2.1505440000.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{20} \cdot 17^{2}$ 8.2.606076928.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{12} \cdot 3^{4} \cdot 31^{2}$ 8.0.59781888.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 3^{3} \cdot 59^{4}$ 8.0.173726604657.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{18} \cdot 3^{3} \cdot 7^{2}$ 8.2.8323596288.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 5^{3} \cdot 41^{4}$ 8.4.362050628125.1 $S_4\wr C_2$ $1$ $2$
$6$ $ 2^{12} \cdot 3^{6} \cdot 5^{3}$ 8.2.116640000.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{10} \cdot 5^{2}$ 8.0.1133740800.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{19} \cdot 3^{6}$ 8.4.73383542784.2 $S_4\wr C_2$ $1$ $2$
$6$ $ 2^{19} \cdot 3^{6}$ 8.0.24461180928.2 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{19} \cdot 3^{6}$ 8.2.764411904.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{6} \cdot 13^{3}$ 8.2.831506217984.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{16} \cdot 3^{8}$ 8.0.3439853568.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{21} \cdot 3^{2} \cdot 5^{2}$ 8.0.471859200.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{21} \cdot 3^{2} \cdot 5^{2}$ 8.0.7549747200.2 $S_4\wr C_2$ $1$ $0$
$6$ $ 3^{10} \cdot 5^{2} \cdot 7^{3}$ 8.2.10633248675.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{7} \cdot 11^{4}$ 8.0.5635496592.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{18} \cdot 3^{7}$ 8.2.13759414272.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{18} \cdot 3^{7}$ 8.0.4586471424.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{17} \cdot 3^{3} \cdot 13^{2}$ 8.2.1794244608.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{3} \cdot 37^{2}$ 8.6.14534443008.1 $S_4\wr C_2$ $1$ $-4$
$6$ $ 2^{21} \cdot 17^{2}$ 8.0.606076928.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 3^{6} \cdot 5^{3} \cdot 19^{3}$ 8.0.296887528125.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 7^{2} \cdot 37^{3}$ 8.2.23509475584.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 13^{3} \cdot 17^{2}$ 8.0.2600685568.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{15} \cdot 5^{3} \cdot 13^{2}$ 8.0.2768896000.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{4} \cdot 23^{2}$ 8.2.8424456192.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 31^{2}$ 8.2.8608591872.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{10} \cdot 7^{2}$ 8.2.8888527872.5 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{3} \cdot 41^{2}$ 8.2.17846894592.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{20} \cdot 3^{6}$ 8.0.24461180928.3 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{20} \cdot 3^{6}$ 8.2.24461180928.1 $S_4\wr C_2$ $1$ $0$
$6$ $ 2^{20} \cdot 3^{6}$ 8.2.24461180928.2 $S_4\wr C_2$ $1$ $0$
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