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5,700,971 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.5.1 | 3 | 5 | 9 | ? | ✓ | all | 1 | rational |
| 3.5.6 | 3 | 5 | 6 | ? | ✓ | all | 1 | rational |
| 3.6.4 | 3 | 6 | 17 | 6 | ✓ | all | 1 | rational |
| 3.6.10 | 3 | 6 | 15 | 12 | ✓ | all | 1 | rational |
| 3.6.15 | 3 | 6 | 12 | 16 | ✗ | all | 1 | rational |
| 3.6.17 | 3 | 6 | 8 | 48 | ✗ | all | 1 | rational |
| 3.6.19 | 3 | 6 | 8 | 8 | ✗ | all | 1 | rational |
| 3.6.22 | 3 | 6 | 7 | 12 | ✗ | all | 1 | rational |
| 3.6.26 | 3 | 6 | 9 | 12 | ✗ | all | 1 | rational |
| 3.6.27 | 3 | 6 | 8 | 8 | ✗ | all | 1 | rational |
| 3.7.9 | 3 | 7 | 30 | 12 | ✓ | all | 1 | rational |
| 3.7.11 | 3 | 7 | 30 | 8 | ✓ | all | 1 | rational |
| 3.7.15 | 3 | 7 | 29 | 24 | ✗ | all | 1 | rational |
| 3.7.16 | 3 | 7 | 28 | 16 | ✗ | all | 1 | rational |
| 3.7.28 | 3 | 7 | 26 | 4 | ✗ | all | 1 | rational |
| 3.7.29 | 3 | 7 | 24 | 12 | ✗ | all | 1 | rational |
| 3.7.30 | 3 | 7 | 26 | 16 | ✗ | all | 1 | rational |
| 3.7.31 | 3 | 7 | 25 | 4 | ✗ | all | 1 | rational |
| 3.7.33 | 3 | 7 | 25 | 48 | ✗ | all | 1 | rational |
| 3.7.34 | 3 | 7 | 24 | 48 | ✗ | all | 1 | rational |
| 3.7.35 | 3 | 7 | 23 | 8 | ✗ | all | 1 | rational |
| 3.7.36 | 3 | 7 | 21 | 8 | ✗ | all | 1 | rational |
| 3.7.39 | 3 | 7 | 18 | 72 | ✗ | all | 1 | rational |
| 3.7.44 | 3 | 7 | 21 | 36 | ✗ | all | 1 | rational |
| 3.7.45 | 3 | 7 | 18 | 144 | ✗ | all | 1 | rational |
| 3.7.52 | 3 | 7 | 23 | 24 | ✗ | all | 1 | rational |
| 3.7.60 | 3 | 7 | 16 | 48 | ✗ | all | 1 | rational |
| 3.7.72 | 3 | 7 | 12 | 16 | ✗ | all | 1 | rational |
| 3.7.75 | 3 | 7 | 8 | 48 | ✗ | all | 1 | rational |
| 3.7.84 | 3 | 7 | 4 | 144 | ✗ | all | 1 | rational |
| 3.7.96 | 3 | 7 | 9 | 48 | ✗ | all | 1 | rational |
| 3.7.97 | 3 | 7 | 8 | 48 | ✗ | all | 1 | rational |
| 3.7.102 | 3 | 7 | 3 | 36 | ✗ | all | 1 | rational |
| 3.7.103 | 3 | 7 | 5 | 240 | ✗ | all | 1 | rational |
| 3.7.107 | 3 | 7 | 1 | 144 | ✗ | all | 1 | rational |
| 3.8.21 | 3 | 8 | 49 | 6 | ✓ | all | 1 | rational |
| 3.8.28 | 3 | 8 | 49 | 4 | ✓ | all | 1 | rational |
| 3.8.30 | 3 | 8 | 49 | 8 | ✓ | all but 2 | 1 | rational |
| 3.8.32 | 3 | 8 | 50 | 1440 | ✗ | all | 1 | rational |
| 3.8.33 | 3 | 8 | 49 | 72 | ✗ | all | 1 | rational |
| 3.8.38 | 3 | 8 | 35 | 5040 | ✗ | all | 1 | rational |
| 3.8.65 | 3 | 8 | 45 | 12 | ✓ | all | 1 | rational |
| 3.8.66 | 3 | 8 | 46 | 96 | ✗ | all | 1 | rational |
| 3.8.68 | 3 | 8 | 48 | 96 | ✗ | all | 1 | rational |
| 3.8.76 | 3 | 8 | 45 | 4 | ✗ | all | 1 | rational |
| 3.8.79 | 3 | 8 | 44 | 12 | ✗ | all | 1 | rational |
| 3.8.85 | 3 | 8 | 44 | 2 | ✗ | all | 1 | rational |
| 3.8.96 | 3 | 8 | 42 | 16 | ✗ | all | 1 | rational |
| 3.8.97 | 3 | 8 | 40 | 48 | ✗ | all | 1 | empty |
| 3.8.99 | 3 | 8 | 44 | 192 | ✗ | all | 1 | rational |