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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$9$ $ 2^{12} \cdot 5^{7} \cdot 29^{3}$ 8.4.580000000.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{16} \cdot 509^{3}$ 8.0.33357824.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 3^{7} \cdot 5^{6} \cdot 67^{3}$ 8.0.91580625.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{20} \cdot 233^{3}$ 8.0.15269888.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{18} \cdot 3^{12} \cdot 5^{3}$ 8.0.955514880.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{12} \cdot 3^{7} \cdot 139^{3}$ 8.0.77822208.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{22} \cdot 193^{3}$ 8.0.50593792.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{12} \cdot 3^{7} \cdot 163^{3}$ 8.0.91259136.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{12} \cdot 7^{7} \cdot 23^{3}$ 8.0.1212255296.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{10} \cdot 3^{12} \cdot 5^{7}$ 8.2.911250000.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{12} \cdot 5^{8} \cdot 31^{3}$ 8.2.124000000.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{20} \cdot 3^{12} \cdot 5^{3}$ 8.0.238878720.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{16} \cdot 3^{19}$ 8.0.45349632.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{16} \cdot 3^{19}$ 8.2.11609505792.8 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{16} \cdot 3^{12} \cdot 13^{3}$ 8.0.621084672.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{6} \cdot 3^{9} \cdot 13^{7}$ 8.2.27107359344.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{12} \cdot 13^{6} \cdot 17^{3}$ 8.4.21006272768.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{28} \cdot 73^{3}$ 8.4.306184192.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{20} \cdot 3^{11} \cdot 5^{4}$ 8.2.3583180800.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{10} \cdot 5^{6} \cdot 199^{3}$ 8.2.31840000.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{14} \cdot 3^{12} \cdot 5^{6}$ 8.2.729000000.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{31} \cdot 3^{3} \cdot 7^{4}$ 8.0.315680096256.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{28} \cdot 3^{12}$ 8.2.3057647616.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{33} \cdot 3^{9}$ 8.0.57982058496.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 43^{3}$ 8.0.940410000.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{6} \cdot 17^{7} \cdot 19^{3}$ 8.2.31185739148.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{28} \cdot 89^{3}$ 8.4.373293056.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{30} \cdot 3^{11}$ 8.4.9172942848.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{30} \cdot 3^{11}$ 8.4.587068342272.2 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{19} \cdot 17^{7}$ 8.4.210093400576.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{12} \cdot 3^{11} \cdot 67^{3}$ 8.0.37511424.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{14} \cdot 3^{11} \cdot 5^{7}$ 8.0.10935000000.3 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{18} \cdot 953^{3}$ 8.0.15613952.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{9} \cdot 3^{7} \cdot 11^{8}$ 8.2.30995231256.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{8} \cdot 3^{11} \cdot 5^{6} \cdot 7^{3}$ 8.0.2449440000.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{20} \cdot 3^{11} \cdot 11^{3}$ 8.4.1576599552.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{18} \cdot 3^{6} \cdot 109^{3}$ 8.4.2314469376.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{20} \cdot 3^{6} \cdot 71^{3}$ 8.2.376897536.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 3^{12} \cdot 5^{8} \cdot 11^{3}$ 8.2.1127671875.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{29} \cdot 3^{12}$ 8.2.1528823808.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{18} \cdot 3^{19}$ 8.2.46438023168.3 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{18} \cdot 3^{12} \cdot 13^{3}$ 8.4.22359048192.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7}$ 8.2.21346234560.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{26} \cdot 167^{3}$ 8.2.175112192.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{8} \cdot 3^{9} \cdot 13^{7}$ 8.2.27107359344.2 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{22} \cdot 5^{6} \cdot 17^{3}$ 8.0.111411200.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{18} \cdot 3^{7} \cdot 83^{3}$ 8.4.2974040064.1 $S_4\wr C_2$ $1$ $1$
$9$ $ 2^{28} \cdot 3^{4} \cdot 5^{6}$ 8.2.23592960000.1 $S_4\wr C_2$ $1$ $-1$
$9$ $ 2^{16} \cdot 3^{11} \cdot 31^{3}$ 8.0.17356032.1 $S_4\wr C_2$ $1$ $-3$
$9$ $ 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 41^{3}$ 8.4.531360000.1 $S_4\wr C_2$ $1$ $1$
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