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14 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.112 | 3 | 8 | 32 | 384 | ✗ | 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 |
| 3.8.187 | 3 | 8 | 29 | 12 | ✗ | all | 2 | rational |
| 3.8.188 | 3 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 3.8.229 | 3 | 8 | 28 | 32 | ✗ | all | 4 | 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 |
| 3.8.243 | 3 | 8 | 24 | 144 | ✗ | all | 1 | 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 |
| 3.8.279 | 3 | 8 | 16 | 720 | ✗ | all | 0 | rational |