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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 8.1060870041.12t213.a.a | $8$ | $ 3^{4} \cdot 7^{2} \cdot 11^{2} \cdot 47^{2}$ | 9.1.142195876977.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.1708003584.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 41^{2}$ | 9.1.490197028608.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.2613254400.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 71^{2}$ | 9.1.34359456000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.2854123776.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 53^{2}$ | 9.1.39217774848.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.4837480704.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2}$ | 9.1.86537154816.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.6784487424.12t213.a.a | $8$ | $ 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2}$ | 9.1.17966327808.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.9968025600.12t213.a.a | $8$ | $ 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 9.1.30371328000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.13254456384.12t213.a.a | $8$ | $ 2^{6} \cdot 3^{6} \cdot 13^{2} \cdot 41^{2}$ | 9.1.784958361408.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.14113440000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2}$ | 9.1.431244000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.17703899136.12t213.a.a | $8$ | $ 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2}$ | 9.1.2366667072.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.32529729600.12t213.a.a | $8$ | $ 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 167^{2}$ | 9.3.3018036024000.2 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.88873149456.12t213.a.a | $8$ | $ 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13^{4}$ | 9.1.408695571648.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.132204960000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 101^{2}$ | 9.5.296726688000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.196071840000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 41^{2}$ | 9.1.35728646400.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.213798963456.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 13^{4} \cdot 19^{2}$ | 9.1.8012189952.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.261178235136.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4}$ | 9.5.22468223232.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.299427840000.12t213.a.a | $8$ | $ 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 19^{2}$ | 9.1.37927526400.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.395892640000.12t213.a.a | $8$ | $ 2^{8} \cdot 5^{4} \cdot 11^{4} \cdot 13^{2}$ | 9.3.96668000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.421398319104.12t213.a.a | $8$ | $ 2^{12} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2}$ | 9.1.1030204224.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.524778541056.12t213.a.a | $8$ | $ 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2}$ | 9.1.5522223168.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.728933458176.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4}$ | 9.1.28571735808.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.777924000000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4}$ | 9.1.7623655200000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.777924000000.24t2893.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4}$ | 9.1.7623655200000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.810777786624.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 13^{4} \cdot 37^{2}$ | 9.7.59169187584.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.108...000.12t178.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ | 9.5.34758099360000.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |
| 8.108...000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ | 9.1.156411447120.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.108...000.24t2893.a.a | $8$ | $ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ | 9.1.156411447120.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.112...776.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2}$ | 9.1.46878144768.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.140...400.12t213.a.a | $8$ | $ 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6}$ | 9.1.18507528000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.141...000.12t178.a.a | $8$ | $ 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4}$ | 9.1.137225793600.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |
| 8.153...584.12t213.a.a | $8$ | $ 2^{6} \cdot 3^{10} \cdot 7^{4} \cdot 13^{2}$ | 9.1.3661517950272.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.162...000.12t213.a.a | $8$ | $ 2^{8} \cdot 5^{6} \cdot 7^{4} \cdot 13^{2}$ | 9.1.21099988000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.170...000.12t178.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{4}$ | 9.1.22959430560000.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |
| 8.170...000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{4}$ | 9.1.430489323000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.170...000.24t2893.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{4}$ | 9.1.430489323000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.198...000.12t213.a.a | $8$ | $ 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 29^{2}$ | 9.1.28447329600.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.199...000.12t213.a.a | $8$ | $ 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4}$ | 9.1.7203000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.199...000.24t2893.a.a | $8$ | $ 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4}$ | 9.1.7203000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.252...000.12t178.a.a | $8$ | $ 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$ | 9.1.4940128569600.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |
| 8.274...000.12t176.a.a | $8$ | $ 2^{6} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4}$ | 9.5.159061448000.1 | $S_3 \wr C_3 $ | $1$ | $0$ |
| 8.333...000.12t213.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4}$ | 9.3.4691658348000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.333...000.24t2893.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4}$ | 9.3.4691658348000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.369...016.12t178.a.a | $8$ | $ 2^{4} \cdot 3^{8} \cdot 7^{4} \cdot 11^{4}$ | 9.1.5977555569216.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |
| 8.388...000.9t19.a.a | $8$ | $ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 11^{3}$ | 9.3.3881196000000.1 | $(C_3^2:C_8):C_2$ | $1$ | $2$ |
| 8.393...000.12t213.a.a | $8$ | $ 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4}$ | 9.1.255197968200000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.393...000.24t2893.a.a | $8$ | $ 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4}$ | 9.1.255197968200000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.418...000.12t213.a.a | $8$ | $ 2^{4} \cdot 5^{4} \cdot 11^{4} \cdot 13^{4}$ | 9.3.314171000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.418...000.24t2893.a.a | $8$ | $ 2^{4} \cdot 5^{4} \cdot 11^{4} \cdot 13^{4}$ | 9.3.314171000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.498...000.12t213.a.a | $8$ | $ 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 31^{2}$ | 9.1.804357000000.2 | $S_3\wr S_3$ | $1$ | $0$ |
| 8.562...000.12t178.a.a | $8$ | $ 2^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{4}$ | 9.5.140612164000000.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $1$ | $0$ |