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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^{8} \cdot 7^{10}$ 9.1.94119200000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{16} \cdot 5^{8}$ 9.1.314928000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{12} \cdot 3^{10} \cdot 67^{6}$ 9.1.2078873856.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{14} \cdot 3^{6} \cdot 37^{8}$ 9.1.17734300939008.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{36} \cdot 13^{8}$ 9.1.12166529024.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 3^{16} \cdot 109^{6}$ 9.3.2778416082963.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 5^{10} \cdot 7^{6}$ 9.3.307328000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{8} \cdot 5^{8} \cdot 97^{6}$ 9.5.17705856200000.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 3^{20} \cdot 11^{10}$ 9.1.31068844930233.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{12} \cdot 5^{6} \cdot 17^{10}$ 9.5.65654187680000.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 3^{10} \cdot 367^{6}$ 9.1.1334633301.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 229^{6}$ 9.3.176003742784.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{36} \cdot 3^{20}$ 9.1.13060694016.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{16} \cdot 7^{8}$ 9.1.2371261713408.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{24} \cdot 5^{10} \cdot 11^{6}$ 9.1.42592000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 5^{6} \cdot 7^{10}$ 9.1.120472576000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 7^{6} \cdot 37^{6}$ 9.5.658265316352.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 2^{16} \cdot 5^{6} \cdot 83^{6}$ 9.1.379666568000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{18} \cdot 331^{6}$ 9.1.6145849713152.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{4} \cdot 3^{26} \cdot 5^{10}$ 9.1.121068902812500.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 5^{10} \cdot 23^{10}$ 9.1.874503125.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{16} \cdot 5^{10}$ 9.1.1574640000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{34} \cdot 11^{10}$ 9.1.1319329792.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{34} \cdot 5^{6} \cdot 11^{6}$ 9.1.14992384000.2 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{8} \cdot 5^{8} \cdot 131^{6}$ 9.1.2355999368000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{12} \cdot 7^{6} \cdot 101^{6}$ 9.3.186476238592.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{22} \cdot 5^{6}$ 9.1.9183300480000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 3^{6} \cdot 47^{6}$ 9.5.1079307362304.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 2^{4} \cdot 3^{18} \cdot 5^{6} \cdot 7^{8}$ 9.1.1250470044180.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{24} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6}$ 9.1.7203000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{16} \cdot 3^{18} \cdot 17^{6}$ 9.1.74267580672.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 3^{6} \cdot 5^{10} \cdot 67^{6}$ 9.3.8501254171875.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 3^{18} \cdot 109^{6}$ 9.1.76470167421.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 7^{8} \cdot 11^{6}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{16} \cdot 3^{16} \cdot 7^{10}$ 9.1.4149707998464.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{12} \cdot 3^{6} \cdot 7^{8} \cdot 19^{6}$ 9.1.1655870615532.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{6} \cdot 101^{6}$ 9.5.2877061966848.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 2^{26} \cdot 3^{6} \cdot 19^{8}$ 9.1.20811592286208.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{8} \cdot 5^{8} \cdot 11^{6} \cdot 13^{6}$ 9.3.314171000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 7^{6} \cdot 17^{8}$ 9.3.59345206445056.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{24} \cdot 3^{20} \cdot 5^{6}$ 9.1.63772920000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{4} \cdot 7^{6} \cdot 283^{6}$ 9.1.31096636564.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{14} \cdot 11^{8}$ 9.1.3967389600768.2 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{16} \cdot 17^{6}$ 9.1.1683398495232.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{16} \cdot 17^{6}$ 9.1.99023440896.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 3^{10} \cdot 7^{10}$ 9.1.546463604736.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{26} \cdot 3^{16} \cdot 5^{8}$ 9.1.2519424000000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{32} \cdot 3^{24}$ 9.1.58773123072.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{12} \cdot 3^{16} \cdot 17^{8}$ 9.1.30406385320128.2 $S_3\wr S_3$ $1$ $0$
$12$ $ 3^{14} \cdot 5^{6} \cdot 19^{8}$ 9.1.171482236245.1 $S_3\wr S_3$ $1$ $0$
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