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248 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.8.0 | 4 | 8 | 70 | 40320 | ✓ | all | 9 | rational |
| 4.8.1 | 4 | 8 | 69 | 576 | ✓ | all | 8 | rational |
| 4.8.2 | 4 | 8 | 68 | 1152 | ✓ | all | 7 | rational |
| 4.8.3 | 4 | 8 | 68 | 72 | ✓ | all | 7 | rational |
| 4.8.4 | 4 | 8 | 68 | 32 | ✓ | all | 7 | rational |
| 4.8.5 | 4 | 8 | 67 | 8 | ✓ | all | 6 | rational |
| 4.8.6 | 4 | 8 | 66 | 32 | ✓ | all | 5 | rational |
| 4.8.7 | 4 | 8 | 67 | 32 | ✓ | all | 6 | rational |
| 4.8.8 | 4 | 8 | 66 | 128 | ✓ | all | 5 | rational |
| 4.8.12 | 4 | 8 | 66 | 8 | ✓ | all | 5 | rational |
| 4.8.13 | 4 | 8 | 66 | 2 | ✓ | all | 5 | rational |
| 4.8.14 | 4 | 8 | 66 | 4 | ✓ | all | 5 | rational |
| 4.8.18 | 4 | 8 | 67 | 6 | ✓ | all | 6 | rational |
| 4.8.19 | 4 | 8 | 66 | 6 | ✓ | all | 5 | rational |
| 4.8.20 | 4 | 8 | 66 | 1 | ✓ | all | 5 | rational |
| 4.8.21 | 4 | 8 | 65 | 1 | ✓ | all | 4 | rational |
| 4.8.22 | 4 | 8 | 64 | 6 | ✓ | all | 3 | rational |
| 4.8.23 | 4 | 8 | 65 | 4 | ✓ | all | 4 | rational |
| 4.8.24 | 4 | 8 | 66 | 4 | ✓ | all | 5 | rational |
| 4.8.25 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.26 | 4 | 8 | 64 | 8 | ✓ | all | 3 | rational |
| 4.8.27 | 4 | 8 | 65 | 8 | ✓ | all | 4 | rational |
| 4.8.28 | 4 | 8 | 64 | 48 | ✓ | all | 3 | rational |
| 4.8.31 | 4 | 8 | 66 | 2 | ✓ | all | 5 | rational |
| 4.8.33 | 4 | 8 | 65 | 1 | ✓ | all | 4 | rational |
| 4.8.39 | 4 | 8 | 66 | 24 | ✓ | all | 5 | rational |
| 4.8.40 | 4 | 8 | 65 | 24 | ✓ | all | 4 | rational |
| 4.8.43 | 4 | 8 | 64 | 4 | ✓ | all | 3 | rational |
| 4.8.45 | 4 | 8 | 64 | 4 | ✓ | all | 3 | rational |
| 4.8.46 | 4 | 8 | 65 | 1 | ✓ | all | 4 | rational |
| 4.8.47 | 4 | 8 | 64 | 2 | ✓ | all | 3 | rational |
| 4.8.48 | 4 | 8 | 64 | 6 | ✓ | all | 3 | rational |
| 4.8.51 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.52 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.53 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.54 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.68 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.69 | 4 | 8 | 64 | 2 | ✓ | all | 3 | rational |
| 4.8.70 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.71 | 4 | 8 | 63 | 1 | ✓ | all | 2 | rational |
| 4.8.72 | 4 | 8 | 62 | 8 | ✓ | all | 1 | rational |
| 4.8.73 | 4 | 8 | 64 | 8 | ✓ | all | 3 | rational |
| 4.8.74 | 4 | 8 | 63 | 4 | ✓ | all | 0 | empty |
| 4.8.75 | 4 | 8 | 62 | 32 | ✓ | ∅ | -1 | rational |
| 4.8.76 | 4 | 8 | 66 | 24 | ✓ | all | 2 | rational |
| 4.8.77 | 4 | 8 | 65 | 2 | ✓ | all | 5 | rational |
| 4.8.78 | 4 | 8 | 64 | 4 | ✓ | all | 4 | rational |
| 4.8.79 | 4 | 8 | 64 | 1 | ✓ | all | 3 | rational |
| 4.8.80 | 4 | 8 | 63 | 3 | ✓ | all | 3 | rational |
| 4.8.81 | 4 | 8 | 63 | 3 | ✓ | all | 2 | rational |