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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$12$ $ 2^{10} \cdot 3^{17} \cdot 41^{4}$ 9.1.5578004736.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{26} \cdot 3^{21}$ 9.1.58773123072.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 3^{19} \cdot 29^{4}$ 9.3.11836253952.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{29}$ 9.1.167365651248.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 11^{9} \cdot 29^{4}$ 9.3.144672757504.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{21} \cdot 5^{4}$ 9.1.73466403840.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 7^{9}$ 9.1.1260525000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{20} \cdot 3^{4} \cdot 11^{10}$ 9.1.164627620608.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{8} \cdot 3^{21} \cdot 31^{4}$ 9.1.28468231488.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{21} \cdot 11^{4}$ 9.1.40406522112.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{12} \cdot 3^{31}$ 9.1.251048476872.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{28} \cdot 3^{21}$ 9.1.117546246144.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{19} \cdot 23^{4}$ 9.1.9387373824.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{12} \cdot 3^{23} \cdot 5^{6}$ 9.1.2869781400.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7}$ 9.1.7203000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 3^{23} \cdot 17^{4}$ 9.1.187339329792.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{25} \cdot 5^{4}$ 9.1.55099802880.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{25} \cdot 5^{4}$ 9.1.495898225920.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{33} \cdot 3^{19}$ 9.1.13060694016.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 59^{4}$ 9.1.6372000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{8} \cdot 3^{29} \cdot 5^{4}$ 9.1.209207064060.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 11^{8} \cdot 43^{4}$ 9.1.4875335872.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{24} \cdot 3^{19} \cdot 5^{4}$ 9.1.65303470080.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{17} \cdot 5^{8}$ 9.1.314928000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{24} \cdot 3^{25}$ 9.1.297538935552.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{32} \cdot 3^{20}$ 9.1.117546246144.3 $S_3\wr S_3$ $1$ $-2$
$12$ $ 5^{10} \cdot 23^{9}$ 9.1.874503125.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{29}$ 9.1.10711401679872.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{26} \cdot 3^{24}$ 9.1.1190155742208.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{8} \cdot 3^{17} \cdot 157^{4}$ 9.1.5339919168.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{28} \cdot 3^{17} \cdot 5^{4}$ 9.1.21767823360.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{6} \cdot 23^{7} \cdot 101^{4}$ 9.1.1808892224.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{19} \cdot 5^{7}$ 9.1.63772920000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 23^{4} \cdot 37^{7}$ 9.3.11035059968.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{6} \cdot 23^{7} \cdot 107^{4}$ 9.1.83319616.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 3^{19} \cdot 11^{10}$ 9.1.31068844930233.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{16} \cdot 3^{25} \cdot 5^{4}$ 9.1.123974556480.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{22} \cdot 3^{20} \cdot 7^{4}$ 9.1.308558896128.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{6} \cdot 31^{7} \cdot 67^{4}$ 9.1.127743808.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{6} \cdot 3^{6} \cdot 13^{4} \cdot 31^{7}$ 9.1.6915325248.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{27} \cdot 5^{10} \cdot 13^{4}$ 9.1.41600000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{9} \cdot 17^{9}$ 9.1.8508782723328.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{24} \cdot 7^{6} \cdot 11^{7}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 7^{6} \cdot 19^{9}$ 9.3.11443226368.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 17^{8}$ 9.1.156411447120.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{23} \cdot 5^{8} \cdot 59^{4}$ 9.1.7552000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{35} \cdot 3^{19}$ 9.1.104485552128.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{8} \cdot 3^{29} \cdot 7^{4}$ 9.1.4686238234944.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{21} \cdot 5^{6}$ 9.1.367332019200.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{10} \cdot 3^{29} \cdot 5^{4}$ 9.3.13389252099840.1 $S_3\wr S_3$ $1$ $-2$
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