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3,621,120 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.6.0 | 3 | 6 | 20 | 720 | ✓ | all | 4 | rational |
| 3.7.2 | 3 | 7 | 33 | 72 | ✓ | all | 4 | rational |
| 3.7.3 | 3 | 7 | 33 | 16 | ✓ | all | 4 | rational |
| 3.7.18 | 3 | 7 | 31 | 144 | ✓ | all | 4 | rational |
| 3.7.21 | 3 | 7 | 29 | 4 | ✓ | all | 4 | rational |
| 3.7.22 | 3 | 7 | 28 | 6 | ✓ | all | 4 | rational |
| 3.8.6 | 3 | 8 | 52 | 8 | ✓ | all | 4 | rational |
| 3.8.9 | 3 | 8 | 52 | 4 | ✓ | all | 4 | rational |
| 3.8.10 | 3 | 8 | 52 | 4 | ✓ | all | 4 | rational |
| 3.8.11 | 3 | 8 | 52 | 4 | ✓ | all | 4 | rational |
| 3.8.15 | 3 | 8 | 52 | 6 | ✓ | all | 4 | rational |
| 3.8.23 | 3 | 8 | 52 | 48 | ✓ | all | 4 | rational |
| 3.8.41 | 3 | 8 | 48 | 1152 | ✓ | all | 4 | rational |
| 3.8.42 | 3 | 8 | 51 | 24 | ✓ | all | 4 | rational |
| 3.8.48 | 3 | 8 | 49 | 2 | ✓ | all | 4 | rational |
| 3.8.50 | 3 | 8 | 49 | 4 | ✓ | all | 4 | rational |
| 3.8.51 | 3 | 8 | 48 | 4 | ✓ | all | 4 | rational |
| 3.8.52 | 3 | 8 | 48 | 16 | ✓ | all | 4 | rational |
| 3.8.53 | 3 | 8 | 49 | 6 | ✓ | all | 4 | rational |
| 3.8.80 | 3 | 8 | 43 | 4 | ✗ | all | 4 | rational |
| 3.8.91 | 3 | 8 | 42 | 8 | ✗ | all | 4 | rational |
| 3.8.118 | 3 | 8 | 32 | 6 | ✗ | all | 4 | rational |
| 3.8.125 | 3 | 8 | 28 | 168 | ✗ | all | 4 | empty |
| 3.8.137 | 3 | 8 | 44 | 12 | ✓ | all | 4 | rational |
| 3.8.154 | 3 | 8 | 35 | 8 | ✗ | all | 4 | rational |
| 3.8.177 | 3 | 8 | 35 | 12 | ✗ | all | 4 | rational |
| 3.8.183 | 3 | 8 | 33 | 72 | ✗ | all | 4 | rational |
| 3.8.197 | 3 | 8 | 24 | 8 | ✗ | all | 4 | rational |
| 3.8.213 | 3 | 8 | 18 | 144 | ✗ | all | 4 | rational |
| 3.8.218 | 3 | 8 | 35 | 240 | ✓ | all | 4 | rational |
| 3.8.224 | 3 | 8 | 32 | 32 | ✗ | all | 4 | rational |
| 3.8.229 | 3 | 8 | 28 | 32 | ✗ | all | 4 | rational |
| 3.8.257 | 3 | 8 | 24 | 96 | ✗ | all | 4 | rational |
| 3.8.264 | 3 | 8 | 19 | 24 | ✗ | all | 4 | rational |
| 3.8.268 | 3 | 8 | 15 | 24 | ✗ | all | 4 | rational |
| 3.8.319 | 3 | 8 | 6 | 1440 | ✗ | all | 4 | rational |
| 3.9.11 | 3 | 9 | 78 | 72 | ✓ | all | 4 | rational |
| 3.9.19 | 3 | 9 | 78 | 12 | ✓ | all | 4 | rational |
| 3.9.29 | 3 | 9 | 78 | 1 | ✓ | all | 4 | rational |
| 3.9.30 | 3 | 9 | 78 | 4 | ✓ | all | 4 | rational |
| 3.9.32 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.33 | 3 | 9 | 78 | 1 | ✓ | all | 4 | rational |
| 3.9.34 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.35 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.38 | 3 | 9 | 78 | 6 | ✓ | all | 4 | rational |
| 3.9.39 | 3 | 9 | 78 | 12 | ✓ | all | 4 | rational |
| 3.9.41 | 3 | 9 | 76 | 12 | ✓ | all | 4 | empty |
| 3.9.49 | 3 | 9 | 78 | 4 | ✓ | all | 4 | rational |
| 3.9.50 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.51 | 3 | 9 | 78 | 1 | ✓ | all | 4 | rational |