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1,370,644 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.7.1 | 3 | 7 | 34 | 144 | ✓ | all | 5 | rational |
| 3.8.4 | 3 | 8 | 53 | 48 | ✓ | all | 5 | rational |
| 3.8.5 | 3 | 8 | 53 | 8 | ✓ | all | 5 | rational |
| 3.8.7 | 3 | 8 | 53 | 48 | ✓ | all | 5 | rational |
| 3.8.8 | 3 | 8 | 53 | 12 | ✓ | all | 5 | rational |
| 3.8.40 | 3 | 8 | 51 | 144 | ✓ | all | 5 | rational |
| 3.8.47 | 3 | 8 | 49 | 4 | ✓ | all | 5 | rational |
| 3.8.49 | 3 | 8 | 48 | 8 | ✓ | all | 5 | rational |
| 3.8.83 | 3 | 8 | 44 | 96 | ✗ | all | 5 | rational |
| 3.8.205 | 3 | 8 | 18 | 16 | ✗ | all | 5 | rational |
| 3.8.225 | 3 | 8 | 31 | 16 | ✗ | all | 5 | rational |
| 3.9.10 | 3 | 9 | 79 | 12 | ✓ | all | 5 | rational |
| 3.9.18 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.21 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.22 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.23 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.25 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.26 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.27 | 3 | 9 | 79 | 8 | ✓ | all | 5 | rational |
| 3.9.28 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.31 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.45 | 3 | 9 | 79 | 12 | ✓ | all | 5 | rational |
| 3.9.46 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.47 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.48 | 3 | 9 | 78 | 2 | ✓ | all | 5 | rational |
| 3.9.56 | 3 | 9 | 78 | 2 | ✓ | all | 5 | rational |
| 3.9.83 | 3 | 9 | 78 | 24 | ✓ | all | 5 | rational |
| 3.9.108 | 3 | 9 | 74 | 8 | ✓ | all | 5 | empty |
| 3.9.116 | 3 | 9 | 77 | 2 | ✓ | all | 5 | rational |
| 3.9.117 | 3 | 9 | 77 | 6 | ✓ | all | 5 | rational |
| 3.9.123 | 3 | 9 | 78 | 2 | ✓ | all | 5 | rational |
| 3.9.186 | 3 | 9 | 75 | 72 | ✓ | all | 5 | rational |
| 3.9.187 | 3 | 9 | 78 | 16 | ✓ | all | 5 | rational |
| 3.9.188 | 3 | 9 | 77 | 4 | ✓ | all | 5 | rational |
| 3.9.204 | 3 | 9 | 76 | 2 | ✓ | all | 5 | rational |
| 3.9.205 | 3 | 9 | 76 | 1 | ✓ | all | 5 | rational |
| 3.9.207 | 3 | 9 | 76 | 2 | ✓ | all | 5 | rational |
| 3.9.210 | 3 | 9 | 75 | 2 | ✓ | all | 5 | rational |
| 3.9.213 | 3 | 9 | 74 | 8 | ✓ | all | 5 | rational |
| 3.9.214 | 3 | 9 | 77 | 4 | ✓ | all | 5 | rational |
| 3.9.215 | 3 | 9 | 76 | 4 | ✓ | all | 5 | rational |
| 3.9.216 | 3 | 9 | 76 | 2 | ✓ | all | 5 | rational |
| 3.9.217 | 3 | 9 | 75 | 4 | ✓ | all | 5 | rational |
| 3.9.222 | 3 | 9 | 75 | 4 | ✓ | all | 5 | rational |
| 3.9.233 | 3 | 9 | 75 | 2 | ✓ | all | 5 | rational |
| 3.9.249 | 3 | 9 | 74 | 1 | ✓ | all | 5 | rational |
| 3.9.276 | 3 | 9 | 74 | 1 | ✓ | all | 5 | rational |
| 3.9.329 | 3 | 9 | 72 | 1 | ✓ | all | 5 | rational |
| 3.9.330 | 3 | 9 | 72 | 1 | ✓ | all | 5 | rational |
| 3.9.331 | 3 | 9 | 72 | 4 | ✓ | all | 5 | rational |