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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 8.0.1342413.1 | x8 - x7 + x6 + x4 - 2x3 + 3x2 - 3x + 1 | \( 3^{4}\cdot 16573 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.1797309.1 | x8 - 3x7 + 6x6 - 8x5 + 10x4 - 9x3 + 7x2 - 4x + 1 | \( 3^{4}\cdot 22189 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2118069.1 | x8 - x7 - x3 + 2x2 - x + 1 | \( 3^{4}\cdot 79\cdot 331 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2217213.1 | x8 - x7 - x6 - x5 + 3x4 - x + 1 | \( 3^{4}\cdot 31\cdot 883 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2314413.1 | x8 - x6 - x5 - x3 + 2x + 1 | \( 3^{4}\cdot 28573 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2712933.1 | x8 - 3x7 + 3x6 - x5 + x4 - 2x2 + x + 1 | \( 3^{4}\cdot 33493 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2824713.1 | x8 - 3x7 + 2x6 + 3x5 - 4x4 + x2 + 1 | \( 3^{4}\cdot 43\cdot 811 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.2844928.1 | x8 - 2x7 + 2x6 - 2x4 + 2x3 + x2 - 2x + 1 | \( 2^{8}\cdot 11113 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3057993.1 | x8 - 2x7 + 3x6 - 2x5 + x3 + 2x2 - 3x + 1 | \( 3^{4}\cdot 19\cdot 1987 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3167829.1 | x8 - 3x7 + 4x6 - 4x4 + 3x3 + 2x2 - 3x + 1 | \( 3^{4}\cdot 7\cdot 37\cdot 151 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3198933.1 | x8 - x7 - x6 + 4x4 - x3 - 3x2 + x + 1 | \( 3^{4}\cdot 73\cdot 541 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3243888.1 | x8 - x7 + 2x5 - 3x4 + 2x3 + 2x2 - 3x + 1 | \( 2^{4}\cdot 3^{4}\cdot 2503 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3339873.1 | x8 - x7 - x5 + 3x4 - x3 + 2x2 - 3x + 1 | \( 3^{4}\cdot 41233 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3379725.1 | x8 - x7 - x6 + x5 + 2x3 + x2 - 3x + 1 | \( 3^{4}\cdot 5^{2}\cdot 1669 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3567321.1 | x8 - 2x7 + 5x6 - 8x5 + 9x4 - 9x3 + 6x2 - 2x + 1 | \( 3^{4}\cdot 44041 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3684933.1 | x8 - x7 + x6 - 2x5 - x3 + x2 + x + 1 | \( 3^{4}\cdot 7\cdot 67\cdot 97 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3707289.1 | x8 - x7 - x6 + 2x5 - 3x3 + 2x + 1 | \( 3^{4}\cdot 37\cdot 1237 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3747141.1 | x8 - x7 - x6 + x5 - x4 - 2x3 + 2x2 + 3x + 1 | \( 3^{4}\cdot 46261 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3853089.1 | x8 - x7 - 2x6 + 4x5 - 4x3 + 4x2 - 2x + 1 | \( 3^{4}\cdot 47569 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.3925989.1 | x8 - 3x6 - x5 + 4x4 - 2x2 + x + 1 | \( 3^{4}\cdot 19\cdot 2551 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4132053.1 | x8 - 3x7 + 2x6 + 4x5 - 6x4 + x3 + 3x2 - 2x + 1 | \( 3^{4}\cdot 139\cdot 367 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4237568.1 | x8 - x6 - 2x3 + 2x + 1 | \( 2^{8}\cdot 16553 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4243509.1 | x8 - 3x7 + 4x6 - 3x5 + 3x3 - 2x2 + 1 | \( 3^{6}\cdot 5821 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4383801.1 | x8 - 3x6 - 2x5 + 4x4 + 3x3 - 2x2 - x + 1 | \( 3^{4}\cdot 54121 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4473088.1 | x8 - 2x5 + x4 - 2x3 + 2x + 1 | \( 2^{8}\cdot 101\cdot 173 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4532480.1 | x8 - x6 - 2x5 + 2x2 + 1 | \( 2^{8}\cdot 5\cdot 3541 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4540293.1 | x8 - 2x7 + 2x5 + x4 - 3x3 - x2 + 2x + 1 | \( 3^{4}\cdot 56053 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4631661.1 | x8 - 3x6 - x5 + 4x4 + 3x3 - 2x2 - 2x + 1 | \( 3^{4}\cdot 211\cdot 271 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4705533.1 | x8 - 3x7 + 5x6 - 8x5 + 8x4 - 5x3 + 5x2 - x + 1 | \( 3^{4}\cdot 7\cdot 43\cdot 193 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4807593.1 | x8 - x5 + x4 + x2 - 2x + 1 | \( 3^{4}\cdot 7\cdot 61\cdot 139 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4830625.1 | x8 - 2x7 + 3x6 - 4x5 + 6x4 - 5x3 + 4x2 - 3x + 1 | \( 5^{4}\cdot 59\cdot 131 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4842261.1 | x8 - x7 - x5 - x4 + x3 + x2 + 1 | \( 3^{5}\cdot 19927 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4900625.1 | x8 - x7 + 3x5 - x4 - x3 + 3x2 - x + 1 | \( 5^{4}\cdot 7841 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4967973.1 | x8 + x6 - x5 + x3 + 2x2 + 2x + 1 | \( 3^{4}\cdot 61333 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.4987089.1 | x8 - x7 - x6 + 2x5 - 2x4 + x3 + 2x2 - 2x + 1 | \( 3^{6}\cdot 6841 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5040873.1 | x8 - 2x7 - x6 + 4x5 - 3x3 + x + 1 | \( 3^{4}\cdot 62233 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5118208.1 | x8 - 3x6 - 2x5 + 3x4 + 4x3 - x2 - 2x + 1 | \( 2^{8}\cdot 19993 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5319837.1 | x8 - x7 - x5 - x3 + 2x2 + 1 | \( 3^{4}\cdot 65677 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5467824.1 | x8 - 3x7 + 6x6 - 8x5 + 7x4 - 6x3 + 4x2 - x + 1 | \( 2^{4}\cdot 3^{4}\cdot 4219 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5472441.1 | x8 - 3x7 + 5x6 - 5x5 + 3x4 + x3 - 3x2 + x + 1 | \( 3^{4}\cdot 13\cdot 5197 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5481189.1 | x8 - x7 + x6 - 2x4 + x3 + 3x2 - 3x + 1 | \( 3^{4}\cdot 7^{2}\cdot 1381 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5483133.1 | x8 - x6 - x5 - x4 - x3 + 2x2 + x + 1 | \( 3^{4}\cdot 139\cdot 487 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5662953.1 | x8 - 3x7 + 5x6 - 3x5 - x4 + 3x3 + x2 - 3x + 1 | \( 3^{4}\cdot 151\cdot 463 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5714469.1 | x8 - x7 + x6 - x5 - 2x3 + x2 + x + 1 | \( 3^{4}\cdot 70549 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.2.5756875.1 | x8 - x7 - 2x6 + 3x5 - 3x3 + 2x2 - 1 | \( -\,5^{4}\cdot 61\cdot 151 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5765013.1 | x8 - x7 - 2x5 + 2x4 - 2x3 + 3x2 - x + 1 | \( 3^{4}\cdot 103\cdot 691 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.2.5856875.1 | x8 - x7 - x6 + 2x5 - 3x3 + x2 + x - 1 | \( -\,5^{4}\cdot 9371 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5868288.1 | x8 - 2x6 - 2x5 + 2x3 + 5x2 + 4x + 1 | \( 2^{8}\cdot 3^{4}\cdot 283 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5923449.1 | x8 - x7 + 4x6 - 3x5 + 4x4 - 2x3 + 1 | \( 3^{4}\cdot 7\cdot 31\cdot 337 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
| 8.0.5981769.1 | x8 - x7 - x6 - x5 + 3x4 - 3x3 + 3x2 - x + 1 | \( 3^{4}\cdot 73849 \) | $S_4\wr C_2$ (as 8T47) | Trivial |
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