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32,400,859 matroids, showing 551–600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.244 | 3 | 8 | 21 | 72 | ✗ | all | 1 | rational |
| 3.8.245 | 3 | 8 | 18 | 144 | ✗ | all | 0 | rational |
| 3.8.246 | 3 | 8 | 23 | 24 | ✗ | all | 0 | rational |
| 3.8.247 | 3 | 8 | 22 | 8 | ✗ | all | 0 | rational |
| 3.8.248 | 3 | 8 | 21 | 24 | ✗ | all | 0 | rational |
| 3.8.249 | 3 | 8 | 18 | 24 | ✗ | all | 2 | rational |
| 3.8.250 | 3 | 8 | 21 | 16 | ✗ | all | 0 | rational |
| 3.8.251 | 3 | 8 | 20 | 16 | ✗ | all | 1 | rational |
| 3.8.252 | 3 | 8 | 19 | 8 | ✗ | all | 0 | rational |
| 3.8.253 | 3 | 8 | 16 | 16 | ✗ | all | 3 | rational |
| 3.8.254 | 3 | 8 | 16 | 96 | ✗ | all | 3 | rational |
| 3.8.255 | 3 | 8 | 15 | 24 | ✗ | all | 3 | rational |
| 3.8.256 | 3 | 8 | 12 | 96 | ✗ | all | 3 | rational |
| 3.8.257 | 3 | 8 | 24 | 96 | ✗ | all | 4 | rational |
| 3.8.258 | 3 | 8 | 23 | 48 | ✗ | all | 2 | rational |
| 3.8.259 | 3 | 8 | 20 | 192 | ✗ | all | 2 | rational |
| 3.8.260 | 3 | 8 | 22 | 96 | ✗ | all | 0 | rational |
| 3.8.261 | 3 | 8 | 20 | 96 | ✗ | all | 1 | rational |
| 3.8.262 | 3 | 8 | 18 | 96 | ✗ | all | 0 | rational |
| 3.8.263 | 3 | 8 | 16 | 192 | ✗ | all | 0 | rational |
| 3.8.264 | 3 | 8 | 19 | 24 | ✗ | all | 4 | rational |
| 3.8.265 | 3 | 8 | 18 | 12 | ✗ | all | 0 | rational |
| 3.8.266 | 3 | 8 | 16 | 48 | ✗ | all | 0 | rational |
| 3.8.267 | 3 | 8 | 17 | 24 | ✗ | all | 2 | rational |
| 3.8.268 | 3 | 8 | 15 | 24 | ✗ | all | 4 | rational |
| 3.8.269 | 3 | 8 | 14 | 24 | ✗ | all | 2 | rational |
| 3.8.270 | 3 | 8 | 12 | 48 | ✗ | all | 1 | rational |
| 3.8.271 | 3 | 8 | 14 | 16 | ✗ | all | 1 | rational |
| 3.8.272 | 3 | 8 | 13 | 8 | ✗ | all | 1 | rational |
| 3.8.273 | 3 | 8 | 12 | 32 | ✗ | all | 3 | rational |
| 3.8.274 | 3 | 8 | 12 | 32 | ✗ | all | 1 | rational |
| 3.8.275 | 3 | 8 | 10 | 16 | ✗ | all | 2 | rational |
| 3.8.276 | 3 | 8 | 8 | 96 | ✗ | all | 1 | rational |
| 3.8.277 | 3 | 8 | 9 | 72 | ✗ | all | 2 | rational |
| 3.8.278 | 3 | 8 | 8 | 48 | ✗ | all | 1 | rational |
| 3.8.279 | 3 | 8 | 16 | 720 | ✗ | all | 0 | rational |
| 3.8.280 | 3 | 8 | 15 | 720 | ✗ | all | 3 | rational |
| 3.8.281 | 3 | 8 | 13 | 144 | ✗ | all | 3 | rational |
| 3.8.282 | 3 | 8 | 12 | 144 | ✗ | all | 2 | rational |
| 3.8.283 | 3 | 8 | 10 | 72 | ✗ | all | 0 | rational |
| 3.8.284 | 3 | 8 | 9 | 72 | ✗ | all | 1 | rational |
| 3.8.285 | 3 | 8 | 7 | 72 | ✗ | all | 0 | rational |
| 3.8.286 | 3 | 8 | 6 | 72 | ✗ | all | 1 | rational |
| 3.8.287 | 3 | 8 | 4 | 576 | ✗ | all | 2 | rational |
| 3.8.288 | 3 | 8 | 21 | 5040 | ✓ | all | 3 | rational |
| 3.8.289 | 3 | 8 | 20 | 240 | ✗ | all | 2 | rational |
| 3.8.290 | 3 | 8 | 19 | 48 | ✗ | all | 0 | rational |
| 3.8.291 | 3 | 8 | 18 | 48 | ✗ | all | 0 | rational |
| 3.8.292 | 3 | 8 | 15 | 720 | ✗ | all | 0 | rational |
| 3.8.293 | 3 | 8 | 18 | 144 | ✗ | all | 0 | rational |