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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$12$ $ 3^{6} \cdot 5^{6} \cdot 11^{8} \cdot 17^{7}$ 9.5.166457864566125.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 3^{6} \cdot 5^{6} \cdot 11^{8} \cdot 17^{7}$ 9.5.166457864566125.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{6} \cdot 5^{10}$ 8.0.7549747200.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{6} \cdot 5^{10}$ 8.0.7549747200.2 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{6} \cdot 5^{10}$ 8.0.30198988800.3 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{6} \cdot 5^{10}$ 8.0.30198988800.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{10} \cdot 997^{7}$ 9.5.252941796372736.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$12$ $ 2^{33} \cdot 3^{10} \cdot 7^{11}$ 8.6.1605933858816.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{33} \cdot 3^{10} \cdot 7^{11}$ 8.6.1605933858816.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{18} \cdot 3^{9} \cdot 7^{9} \cdot 13^{6}$ 8.4.78530909184.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{8} \cdot 3^{6} \cdot 13^{5} \cdot 29^{9}$ 8.4.6489071186832.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{8} \cdot 5^{11} \cdot 97^{7}$ 9.5.17705856200000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{24} \cdot 3^{21} \cdot 7^{8}$ 9.1.13505076477144.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{24} \cdot 3^{21} \cdot 7^{8}$ 9.1.13505076477144.1 $S_3\wr S_3$ $1$ $2$
$12$ $ 2^{8} \cdot 3^{18} \cdot 7^{8} \cdot 11^{6}$ 9.1.1630242427968.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{28} \cdot 5^{6} \cdot 79^{6}$ 9.5.19942441472000.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 3^{11} \cdot 13^{6} \cdot 103^{6}$ 8.6.7030255212671067.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 3^{11} \cdot 13^{6} \cdot 103^{6}$ 8.6.7030255212671067.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{24} \cdot 3^{22} \cdot 5^{9}$ 8.2.47239200000.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 13^{5} \cdot 1187^{6}$ 8.0.25807517358493.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{18} \cdot 37^{6}$ 9.5.1020931070976.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 2^{36} \cdot 3^{17} \cdot 7^{6}$ 8.2.16994009088.3 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{36} \cdot 3^{17} \cdot 7^{6}$ 8.2.16994009088.4 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{41} \cdot 3^{9} \cdot 17^{6}$ 8.2.147276693504.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{6} \cdot 3^{6} \cdot 13^{8} \cdot 31^{7}$ 9.1.6915325248.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{33} \cdot 7^{7} \cdot 23^{6}$ 8.2.23782621184.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{37} \cdot 3^{27}$ 8.2.92876046336.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 5^{10} \cdot 271^{7}$ 8.2.310976734375.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{8} \cdot 3^{20} \cdot 53^{7}$ 9.5.21738197386419264.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$12$ $ 2^{8} \cdot 3^{20} \cdot 53^{7}$ 9.7.7246065795473088.1 $S_3\wr S_3$ $1$ $-4$
$12$ $ 2^{8} \cdot 3^{20} \cdot 53^{7}$ 9.7.7246065795473088.1 $S_3\wr S_3$ $1$ $4$
$12$ $ 2^{10} \cdot 3^{17} \cdot 41^{8}$ 9.1.646246437872967936.2 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $-2$
$12$ $ 2^{10} \cdot 3^{17} \cdot 41^{8}$ 9.1.5578004736.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{37} \cdot 3^{6} \cdot 13^{9}$ 8.2.15767821615104.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{37} \cdot 3^{6} \cdot 13^{9}$ 8.2.15767821615104.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{14} \cdot 677^{7}$ 9.5.53776760893696.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$12$ $ 2^{27} \cdot 5^{10} \cdot 13^{8}$ 9.1.41600000000.1 $S_3\wr S_3$ $1$ $-2$
$12$ $ 2^{26} \cdot 3^{11} \cdot 5^{6} \cdot 7^{8}$ 8.2.8603217100800.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{26} \cdot 3^{11} \cdot 5^{6} \cdot 7^{8}$ 8.2.8603217100800.1 $S_4\wr C_2$ $1$ $-2$
$12$ $ 2^{14} \cdot 3^{17} \cdot 47^{7}$ 9.5.523148315904.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$12$ $ 2^{14} \cdot 3^{17} \cdot 47^{7}$ 9.5.73763912542464.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$12$ $ 2^{18} \cdot 3^{15} \cdot 11^{11}$ 8.4.2155125215232.2 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{10} \cdot 5^{7} \cdot 41^{10}$ 8.4.2375052120500.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{30} \cdot 3^{10} \cdot 19^{8}$ 9.1.1951086776832.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{18} \cdot 3^{18} \cdot 13^{9}$ 8.0.8302761792.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{20} \cdot 3^{6} \cdot 5^{6} \cdot 67^{6}$ 9.1.208926822528000.1 $S_3\wr S_3$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{9} \cdot 5^{8}$ 8.4.20384317440000.1 $S_4\wr C_2$ $1$ $0$
$12$ $ 2^{47} \cdot 3^{9} \cdot 5^{8}$ 8.2.5096079360000.1 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{47} \cdot 3^{9} \cdot 5^{8}$ 8.2.5096079360000.2 $S_4\wr C_2$ $1$ $2$
$12$ $ 2^{22} \cdot 3^{15} \cdot 5^{5} \cdot 7^{8}$ 8.2.430160855040.1 $S_4\wr C_2$ $1$ $2$
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