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75 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.109 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.112 | 3 | 8 | 32 | 384 | ✗ | all | 2 | rational |
| 3.8.162 | 3 | 8 | 35 | 8 | ✗ | all | 2 | rational |
| 3.8.165 | 3 | 8 | 32 | 16 | ✗ | all | 0 | rational |
| 3.8.166 | 3 | 8 | 30 | 16 | ✗ | all but 2 | 0 | rational |
| 3.8.181 | 3 | 8 | 32 | 24 | ✗ | all | 1 | rational |
| 3.8.187 | 3 | 8 | 29 | 12 | ✗ | all | 2 | rational |
| 3.8.188 | 3 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 3.8.189 | 3 | 8 | 24 | 48 | ✗ | all | 1 | rational |
| 3.8.197 | 3 | 8 | 24 | 8 | ✗ | all | 4 | rational |
| 3.8.201 | 3 | 8 | 21 | 8 | ✗ | all | 0 | rational |
| 3.8.202 | 3 | 8 | 20 | 48 | ✗ | all | 3 | rational |
| 3.8.207 | 3 | 8 | 16 | 48 | ✗ | all | 1 | rational |
| 3.8.229 | 3 | 8 | 28 | 32 | ✗ | all | 4 | rational |
| 3.8.230 | 3 | 8 | 24 | 96 | ✗ | all | 2 | rational |
| 3.8.239 | 3 | 8 | 27 | 24 | ✗ | all | 2 | rational |
| 3.8.240 | 3 | 8 | 26 | 24 | ✗ | all | 2 | rational |
| 3.8.241 | 3 | 8 | 25 | 24 | ✗ | all | 1 | rational |
| 3.8.242 | 3 | 8 | 22 | 24 | ✗ | all | 1 | rational |
| 3.8.243 | 3 | 8 | 24 | 144 | ✗ | all | 1 | rational |
| 3.8.244 | 3 | 8 | 21 | 72 | ✗ | all | 1 | rational |
| 3.8.245 | 3 | 8 | 18 | 144 | ✗ | 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 |
| 3.8.258 | 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 |
| 3.8.265 | 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 |
| 3.8.272 | 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 |
| 3.8.278 | 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 |