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325 matroids, showing 1–50
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.324 | 3 | 8 | 1 | 720 | ✗ | all | 1 | rational |
| 3.8.323 | 3 | 8 | 2 | 96 | ✗ | all | 2 | rational |
| 3.8.322 | 3 | 8 | 3 | 72 | ✗ | all | 1 | rational |
| 3.8.321 | 3 | 8 | 4 | 96 | ✗ | all | 2 | rational |
| 3.8.320 | 3 | 8 | 5 | 240 | ✗ | all | 0 | rational |
| 3.8.319 | 3 | 8 | 6 | 1440 | ✗ | all | 4 | rational |
| 3.8.318 | 3 | 8 | 3 | 144 | ✗ | all | 1 | rational |
| 3.8.317 | 3 | 8 | 4 | 48 | ✗ | all | 2 | rational |
| 3.8.316 | 3 | 8 | 5 | 24 | ✗ | all | 0 | rational |
| 3.8.315 | 3 | 8 | 6 | 24 | ✗ | all | 0 | rational |
| 3.8.314 | 3 | 8 | 7 | 24 | ✗ | all | 1 | rational |
| 3.8.313 | 3 | 8 | 8 | 48 | ✗ | all | 1 | rational |
| 3.8.312 | 3 | 8 | 9 | 48 | ✗ | all | 2 | rational |
| 3.8.311 | 3 | 8 | 10 | 240 | ✗ | all | 0 | rational |
| 3.8.310 | 3 | 8 | 11 | 240 | ✗ | all | 2 | rational |
| 3.8.309 | 3 | 8 | 6 | 144 | ✗ | all | 3 | rational |
| 3.8.308 | 3 | 8 | 8 | 16 | ✗ | all | 1 | rational |
| 3.8.307 | 3 | 8 | 9 | 24 | ✗ | all | 2 | rational |
| 3.8.306 | 3 | 8 | 9 | 72 | ✗ | all | 2 | rational |
| 3.8.305 | 3 | 8 | 11 | 12 | ✗ | all | 1 | rational |
| 3.8.304 | 3 | 8 | 12 | 36 | ✗ | all | 0 | rational |
| 3.8.303 | 3 | 8 | 12 | 144 | ✗ | all | 1 | rational |
| 3.8.302 | 3 | 8 | 14 | 48 | ✗ | all | 0 | rational |
| 3.8.301 | 3 | 8 | 15 | 144 | ✗ | all | 3 | rational |
| 3.8.300 | 3 | 8 | 10 | 240 | ✗ | all | 0 | rational |
| 3.8.299 | 3 | 8 | 12 | 48 | ✗ | all | 2 | rational |
| 3.8.298 | 3 | 8 | 13 | 16 | ✗ | all | 3 | rational |
| 3.8.297 | 3 | 8 | 14 | 48 | ✗ | all | 2 | rational |
| 3.8.296 | 3 | 8 | 15 | 72 | ✗ | all | 1 | rational |
| 3.8.295 | 3 | 8 | 16 | 48 | ✗ | all | 0 | rational |
| 3.8.294 | 3 | 8 | 17 | 24 | ✗ | all | 0 | rational |
| 3.8.293 | 3 | 8 | 18 | 144 | ✗ | all | 0 | rational |
| 3.8.292 | 3 | 8 | 15 | 720 | ✗ | all | 0 | rational |
| 3.8.291 | 3 | 8 | 18 | 48 | ✗ | all | 0 | rational |
| 3.8.290 | 3 | 8 | 19 | 48 | ✗ | all | 0 | rational |
| 3.8.289 | 3 | 8 | 20 | 240 | ✗ | all | 2 | rational |
| 3.8.288 | 3 | 8 | 21 | 5040 | ✓ | all | 3 | rational |
| 3.8.287 | 3 | 8 | 4 | 576 | ✗ | all | 2 | rational |
| 3.8.286 | 3 | 8 | 6 | 72 | ✗ | all | 1 | rational |
| 3.8.285 | 3 | 8 | 7 | 72 | ✗ | all | 0 | rational |
| 3.8.284 | 3 | 8 | 9 | 72 | ✗ | all | 1 | rational |
| 3.8.283 | 3 | 8 | 10 | 72 | ✗ | all | 0 | rational |
| 3.8.282 | 3 | 8 | 12 | 144 | ✗ | all | 2 | rational |
| 3.8.281 | 3 | 8 | 13 | 144 | ✗ | all | 3 | rational |
| 3.8.280 | 3 | 8 | 15 | 720 | ✗ | all | 3 | rational |
| 3.8.279 | 3 | 8 | 16 | 720 | ✗ | all | 0 | rational |
| 3.8.278 | 3 | 8 | 8 | 48 | ✗ | all | 1 | rational |
| 3.8.277 | 3 | 8 | 9 | 72 | ✗ | all | 2 | rational |
| 3.8.276 | 3 | 8 | 8 | 96 | ✗ | all | 1 | rational |
| 3.8.275 | 3 | 8 | 10 | 16 | ✗ | all | 2 | rational |