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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 21.277...936.84.a.a | $21$ | $ 2^{48} \cdot 3^{44}$ | 7.1.60466176.2 | $S_7$ | $1$ | $-3$ |
| 21.350...944.84.a.a | $21$ | $ 2^{58} \cdot 3^{40}$ | 7.1.13436928.1 | $S_7$ | $1$ | $-3$ |
| 21.622...456.84.a.a | $21$ | $ 2^{62} \cdot 3^{38}$ | 7.1.161243136.1 | $S_7$ | $1$ | $-3$ |
| 21.224...816.84.a.a | $21$ | $ 2^{48} \cdot 3^{48}$ | 7.1.90699264.1 | $S_7$ | $1$ | $-3$ |
| 21.709...616.84.a.a | $21$ | $ 2^{56} \cdot 3^{44}$ | 7.1.60466176.1 | $S_7$ | $1$ | $-3$ |
| 21.255...176.84.a.a | $21$ | $ 2^{58} \cdot 3^{46}$ | 7.1.241864704.1 | $S_7$ | $1$ | $-3$ |
| 21.255...176.84.b.a | $21$ | $ 2^{58} \cdot 3^{46}$ | 7.1.241864704.2 | $S_7$ | $1$ | $-3$ |
| 21.574...896.84.a.a | $21$ | $ 2^{56} \cdot 3^{48}$ | 7.1.725594112.1 | $S_7$ | $1$ | $-3$ |
| 21.574...896.84.b.a | $21$ | $ 2^{56} \cdot 3^{48}$ | 7.1.90699264.2 | $S_7$ | $1$ | $-3$ |
| 21.919...336.84.a.a | $21$ | $ 2^{60} \cdot 3^{48}$ | 7.1.1451188224.1 | $S_7$ | $1$ | $-3$ |
| 21.132...249.84.a.a | $21$ | $ 23^{10} \cdot 709^{10}$ | 7.5.11561663.1 | $S_7$ | $1$ | $1$ |
| 21.303...449.84.a.a | $21$ | $ 13^{10} \cdot 17^{10} \cdot 127^{10}$ | 7.1.364871.1 | $S_7$ | $1$ | $-3$ |
| 21.179...576.84.a.a | $21$ | $ 2^{30} \cdot 8363^{10}$ | 7.1.535232.1 | $S_7$ | $1$ | $-3$ |
| 21.695...001.84.a.a | $21$ | $ 7^{10} \cdot 31^{10} \cdot 353^{10}$ | 7.1.536207.1 | $S_7$ | $1$ | $-3$ |
| 21.220...129.84.a.a | $21$ | $ 7^{10} \cdot 29^{16} \cdot 89^{10}$ | 7.1.523943.1 | $S_7$ | $1$ | $-3$ |
| 21.768...849.84.a.a | $21$ | $ 11^{10} \cdot 14033^{10}$ | 7.3.1697993.1 | $S_7$ | $1$ | $1$ |
| 21.130...761.84.a.a | $21$ | $ 11^{16} \cdot 3511^{10}$ | 7.1.424831.1 | $S_7$ | $1$ | $-3$ |
| 21.185...625.84.a.a | $21$ | $ 5^{16} \cdot 37^{10} \cdot 347^{10}$ | 7.1.320975.1 | $S_7$ | $1$ | $-3$ |
| 21.229...249.84.a.a | $21$ | $ 7^{10} \cdot 73^{10} \cdot 337^{10}$ | 7.3.1205449.1 | $S_7$ | $1$ | $1$ |
| 21.459...249.84.a.a | $21$ | $ 184607^{10}$ | 7.1.184607.1 | $S_7$ | $1$ | $-3$ |
| 21.729...649.84.a.a | $21$ | $ 193327^{10}$ | 7.1.193327.1 | $S_7$ | $1$ | $-3$ |
| 21.739...249.84.a.a | $21$ | $ 193607^{10}$ | 7.1.193607.1 | $S_7$ | $1$ | $-3$ |
| 21.842...649.84.a.a | $21$ | $ 29^{10} \cdot 6763^{10}$ | 7.1.196127.1 | $S_7$ | $1$ | $-3$ |
| 21.100...401.84.a.a | $21$ | $ 199559^{10}$ | 7.1.199559.1 | $S_7$ | $1$ | $-3$ |
| 21.109...601.84.a.a | $21$ | $ 7^{16} \cdot 8951^{10}$ | 7.1.438599.1 | $S_7$ | $1$ | $-3$ |
| 21.111...201.84.a.a | $21$ | $ 17^{10} \cdot 11863^{10}$ | 7.1.201671.1 | $S_7$ | $1$ | $-3$ |
| 21.115...201.84.a.a | $21$ | $ 202471^{10}$ | 7.1.202471.1 | $S_7$ | $1$ | $-3$ |
| 21.147...801.84.a.a | $21$ | $ 7^{10} \cdot 29633^{10}$ | 7.3.1452017.1 | $S_7$ | $1$ | $1$ |
| 21.150...601.84.a.a | $21$ | $ 11^{10} \cdot 41^{10} \cdot 461^{10}$ | 7.1.207911.1 | $S_7$ | $1$ | $-3$ |
| 21.181...801.84.a.a | $21$ | $ 19^{10} \cdot 11149^{10}$ | 7.1.211831.1 | $S_7$ | $1$ | $-3$ |
| 21.207...249.84.a.a | $21$ | $ 214607^{10}$ | 7.1.214607.1 | $S_7$ | $1$ | $-3$ |
| 21.327...049.84.a.a | $21$ | $ 277^{10} \cdot 811^{10}$ | 7.1.224647.1 | $S_7$ | $1$ | $-3$ |
| 21.367...849.84.a.a | $21$ | $ 167^{10} \cdot 1361^{10}$ | 7.1.227287.1 | $S_7$ | $1$ | $-3$ |
| 21.577...001.84.a.a | $21$ | $ 23^{10} \cdot 10337^{10}$ | 7.1.237751.1 | $S_7$ | $1$ | $-3$ |
| 21.626...809.84.a.a | $21$ | $ 3^{32} \cdot 7127^{10}$ | 7.1.577287.1 | $S_7$ | $1$ | $-3$ |
| 21.634...649.84.a.a | $21$ | $ 7^{10} \cdot 17^{10} \cdot 2017^{10}$ | 7.5.4080391.1 | $S_7$ | $1$ | $1$ |
| 21.693...049.84.a.a | $21$ | $ 242147^{10}$ | 7.1.242147.1 | $S_7$ | $1$ | $-3$ |
| 21.700...409.84.a.a | $21$ | $ 3^{32} \cdot 7207^{10}$ | 7.1.583767.1 | $S_7$ | $1$ | $-3$ |
| 21.717...201.84.a.a | $21$ | $ 242971^{10}$ | 7.1.242971.1 | $S_7$ | $1$ | $-3$ |
| 21.967...449.84.a.a | $21$ | $ 13^{10} \cdot 19259^{10}$ | 7.1.250367.1 | $S_7$ | $1$ | $-3$ |
| 21.103...201.84.a.a | $21$ | $ 83^{10} \cdot 3037^{10}$ | 7.1.252071.1 | $S_7$ | $1$ | $-3$ |
| 21.151...201.84.a.a | $21$ | $ 307^{10} \cdot 853^{10}$ | 7.1.261871.1 | $S_7$ | $1$ | $-3$ |
| 21.166...401.84.a.a | $21$ | $ 3^{10} \cdot 37^{10} \cdot 2381^{10}$ | 7.3.792873.1 | $S_7$ | $1$ | $1$ |
| 21.186...049.84.a.a | $21$ | $ 101^{10} \cdot 2647^{10}$ | 7.1.267347.1 | $S_7$ | $1$ | $-3$ |
| 21.210...249.84.a.a | $21$ | $ 461^{10} \cdot 587^{10}$ | 7.1.270607.1 | $S_7$ | $1$ | $-3$ |
| 21.227...201.84.a.a | $21$ | $ 7^{10} \cdot 38953^{10}$ | 7.1.272671.1 | $S_7$ | $1$ | $-3$ |
| 21.332...649.84.a.a | $21$ | $ 61^{10} \cdot 4643^{10}$ | 7.1.283223.1 | $S_7$ | $1$ | $-3$ |
| 21.375...601.84.a.a | $21$ | $ 286711^{10}$ | 7.1.286711.1 | $S_7$ | $1$ | $-3$ |
| 21.418...801.84.a.a | $21$ | $ 109^{10} \cdot 2659^{10}$ | 7.1.289831.1 | $S_7$ | $1$ | $-3$ |
| 21.420...849.84.a.a | $21$ | $ 289987^{10}$ | 7.1.289987.1 | $S_7$ | $1$ | $-3$ |