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6,657,451 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.6.1 | 3 | 6 | 19 | 36 | ✓ | all | 3 | rational |
| 3.7.4 | 3 | 7 | 32 | 8 | ✓ | all | 3 | rational |
| 3.7.5 | 3 | 7 | 32 | 48 | ✓ | all | 3 | rational |
| 3.7.6 | 3 | 7 | 32 | 6 | ✓ | all | 3 | rational |
| 3.7.19 | 3 | 7 | 30 | 144 | ✓ | all | 3 | rational |
| 3.7.23 | 3 | 7 | 27 | 72 | ✓ | all | 3 | rational |
| 3.7.49 | 3 | 7 | 25 | 240 | ✓ | all | 3 | rational |
| 3.7.62 | 3 | 7 | 12 | 48 | ✗ | all | 3 | rational |
| 3.7.67 | 3 | 7 | 15 | 24 | ✗ | all | 3 | rational |
| 3.7.104 | 3 | 7 | 4 | 48 | ✗ | all | 3 | rational |
| 3.7.106 | 3 | 7 | 2 | 24 | ✗ | all | 3 | rational |
| 3.8.12 | 3 | 8 | 51 | 4 | ✓ | all | 3 | rational |
| 3.8.13 | 3 | 8 | 51 | 2 | ✓ | all | 3 | rational |
| 3.8.16 | 3 | 8 | 51 | 2 | ✓ | all | 3 | rational |
| 3.8.17 | 3 | 8 | 51 | 2 | ✓ | all | 3 | rational |
| 3.8.19 | 3 | 8 | 51 | 12 | ✓ | all | 3 | rational |
| 3.8.24 | 3 | 8 | 51 | 8 | ✓ | all | 3 | rational |
| 3.8.25 | 3 | 8 | 51 | 8 | ✓ | all | 3 | rational |
| 3.8.43 | 3 | 8 | 50 | 12 | ✓ | all | 3 | rational |
| 3.8.54 | 3 | 8 | 48 | 6 | ✓ | all | 3 | rational |
| 3.8.55 | 3 | 8 | 49 | 6 | ✓ | all | 3 | rational |
| 3.8.57 | 3 | 8 | 48 | 2 | ✓ | all | 3 | rational |
| 3.8.60 | 3 | 8 | 46 | 8 | ✓ | all | 3 | rational |
| 3.8.62 | 3 | 8 | 48 | 72 | ✓ | all | 3 | rational |
| 3.8.67 | 3 | 8 | 45 | 24 | ✗ | all | 3 | rational |
| 3.8.70 | 3 | 8 | 44 | 96 | ✗ | all | 3 | rational |
| 3.8.71 | 3 | 8 | 47 | 8 | ✗ | all | 3 | rational |
| 3.8.84 | 3 | 8 | 45 | 4 | ✗ | all | 3 | rational |
| 3.8.86 | 3 | 8 | 43 | 12 | ✗ | all | 3 | rational |
| 3.8.88 | 3 | 8 | 42 | 24 | ✗ | all | 3 | rational |
| 3.8.90 | 3 | 8 | 43 | 4 | ✗ | all | 3 | rational |
| 3.8.110 | 3 | 8 | 38 | 96 | ✗ | all | 3 | rational |
| 3.8.122 | 3 | 8 | 31 | 24 | ✗ | all | 3 | rational |
| 3.8.127 | 3 | 8 | 39 | 72 | ✗ | all | 3 | rational |
| 3.8.128 | 3 | 8 | 38 | 48 | ✗ | all | 3 | rational |
| 3.8.131 | 3 | 8 | 29 | 24 | ✗ | all | 3 | rational |
| 3.8.138 | 3 | 8 | 43 | 12 | ✓ | all | 3 | rational |
| 3.8.145 | 3 | 8 | 42 | 8 | ✗ | all | 3 | rational |
| 3.8.155 | 3 | 8 | 40 | 48 | ✗ | all | 3 | rational |
| 3.8.159 | 3 | 8 | 38 | 8 | ✗ | all | 3 | rational |
| 3.8.160 | 3 | 8 | 37 | 4 | ✗ | all | 3 | rational |
| 3.8.182 | 3 | 8 | 34 | 72 | ✗ | all | 3 | rational |
| 3.8.184 | 3 | 8 | 32 | 24 | ✗ | all | 3 | rational |
| 3.8.195 | 3 | 8 | 26 | 16 | ✗ | all | 3 | rational |
| 3.8.202 | 3 | 8 | 20 | 48 | ✗ | all | 3 | rational |
| 3.8.204 | 3 | 8 | 18 | 144 | ✗ | all | 3 | rational |
| 3.8.220 | 3 | 8 | 34 | 96 | ✗ | all | 3 | rational |
| 3.8.235 | 3 | 8 | 29 | 24 | ✗ | all | 3 | rational |
| 3.8.237 | 3 | 8 | 24 | 72 | ✗ | all | 3 | rational |
| 3.8.253 | 3 | 8 | 16 | 16 | ✗ | all | 3 | rational |