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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$8$ $ 5^{2} \cdot 7^{4} \cdot 131^{2}$ 9.1.1967079625.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 7^{4} \cdot 19^{2} \cdot 53^{2}$ 9.1.7148031401.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{4} \cdot 523^{2}$ 9.1.988800770304.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{4} \cdot 587^{2}$ 9.1.155337218304.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{20} \cdot 5^{2} \cdot 17^{2}$ 9.1.20123648000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{4} \cdot 631^{2}$ 9.7.5209704158976.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{20} \cdot 3^{2} \cdot 31^{2}$ 9.1.26357170176.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{6} \cdot 61^{2}$ 9.1.37653424128.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{6} \cdot 251^{2}$ 9.1.1311614290944.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{10} \cdot 7^{2}$ 9.1.186659085312.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 3^{10} \cdot 11^{2} \cdot 43^{2}$ 9.1.77145562593.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{6} \cdot 271^{2}$ 9.3.412698468096.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{10} \cdot 3^{4} \cdot 433^{2}$ 9.1.561135078144.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{6} \cdot 409^{2}$ 9.1.1418714175744.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{10} \cdot 5^{4} \cdot 223^{2}$ 9.5.354866144000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 5^{6} \cdot 97^{2}$ 9.5.146027680000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 3^{10} \cdot 109^{2}$ 9.1.60420873024.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{12} \cdot 19^{2}$ 9.1.1574706449808.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 7^{4} \cdot 283^{2}$ 9.1.31096636564.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 13^{3} \cdot 79^{3}$ 9.3.69325227712.1 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
$8$ $ 2^{6} \cdot 3^{4} \cdot 61^{4}$ 9.3.9891911877312.1 $S_3 \wr C_3 $ $1$ $0$
$8$ $ 3^{4} \cdot 5^{6} \cdot 239^{2}$ 9.1.639933703125.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{16} \cdot 5^{4} \cdot 43^{2}$ 9.1.81415168000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 3^{6} \cdot 11^{6}$ 7.3.9183772224.1 $\GL(3,2)$ $1$ $0$
$8$ $ 3^{12} \cdot 5^{4} \cdot 17^{2}$ 9.5.132180337670625.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 3^{7} \cdot 89^{3}$ 9.3.98673100992.1 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
$8$ $ 2^{8} \cdot 3^{4} \cdot 47^{4}$ 9.1.8278437372672.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 7^{6} \cdot 11^{4}$ 9.1.2177801196032.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 3^{10} \cdot 173^{2}$ 9.1.241571564352.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 3^{7} \cdot 5^{4} \cdot 17^{4}$ 9.3.114162766875.1 $((C_3^2:Q_8):C_3):C_2$ $1$ $-2$
$8$ $ 3^{7} \cdot 5^{4} \cdot 17^{4}$ 9.3.114162766875.1 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
$8$ $ 2^{8} \cdot 3^{10} \cdot 89^{2}$ 9.1.131564134656.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 13^{4} \cdot 257^{2}$ 9.5.2386763572544.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{22} \cdot 3^{4} \cdot 19^{2}$ 9.1.3034202112.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{4} \cdot 3^{12} \cdot 11^{4}$ 9.1.1626877698164928.2 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{6} \cdot 3^{7} \cdot 97^{3}$ 9.3.127745014464.2 $((C_3^2:Q_8):C_3):C_2$ $1$ $2$
$8$ $ 2^{8} \cdot 3^{6} \cdot 29^{4}$ 9.1.12334256384256.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{10} \cdot 97^{2}$ 9.1.170326685952.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{2} \cdot 89^{4}$ 9.1.53673979423788.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{10} \cdot 5^{4}$ 9.1.531441000000.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{10} \cdot 5^{4}$ 9.1.3587226750000.2 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{10} \cdot 5^{4}$ 9.1.2869781400.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{4} \cdot 29^{3} \cdot 73^{3}$ 9.1.151803769808.1 $((C_3^2:Q_8):C_3):C_2$ $1$ $0$
$8$ $ 2^{10} \cdot 3^{4} \cdot 37^{4}$ 9.1.17734300939008.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{6} \cdot 31^{4}$ 9.1.18403276329216.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{12} \cdot 37^{2}$ 9.7.255232767744.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{8} \cdot 3^{10} \cdot 113^{2}$ 9.1.269279209728.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 5^{8} \cdot 11^{2}$ 9.1.42592000000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{18} \cdot 5^{6} \cdot 7^{2}$ 9.1.4390400000.1 $S_3\wr S_3$ $1$ $0$
$8$ $ 2^{12} \cdot 3^{10} \cdot 29^{2}$ 9.1.1137893184.1 $S_3\wr S_3$ $1$ $0$
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