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940 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 |
| 4.8.9 | 4 | 8 | 67 | 8 | ✓ | all | 6 | rational |
| 4.8.10 | 4 | 8 | 67 | 96 | ✓ | all | 6 | rational |
| 4.8.11 | 4 | 8 | 67 | 8 | ✓ | all | 6 | 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 |
| 4.8.15 | 4 | 8 | 66 | 8 | ✓ | all | 5 | rational |
| 4.8.16 | 4 | 8 | 65 | 4 | ✓ | all | 4 | rational |
| 4.8.17 | 4 | 8 | 65 | 32 | ✓ | all | 4 | 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 |
| 4.8.29 | 4 | 8 | 66 | 4 | ✓ | all | 5 | rational |
| 4.8.30 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.31 | 4 | 8 | 66 | 2 | ✓ | all | 5 | rational |
| 4.8.32 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.33 | 4 | 8 | 65 | 1 | ✓ | all | 4 | rational |
| 4.8.34 | 4 | 8 | 65 | 1 | ✓ | all | 4 | rational |
| 4.8.35 | 4 | 8 | 66 | 6 | ✓ | all | 5 | rational |
| 4.8.36 | 4 | 8 | 65 | 12 | ✓ | all | 4 | rational |
| 4.8.37 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.38 | 4 | 8 | 65 | 12 | ✓ | all | 4 | rational |
| 4.8.39 | 4 | 8 | 66 | 24 | ✓ | all | 5 | rational |
| 4.8.40 | 4 | 8 | 65 | 24 | ✓ | all | 4 | rational |
| 4.8.41 | 4 | 8 | 66 | 4 | ✓ | all | 5 | rational |
| 4.8.42 | 4 | 8 | 65 | 2 | ✓ | all | 4 | rational |
| 4.8.43 | 4 | 8 | 64 | 4 | ✓ | all | 3 | rational |
| 4.8.44 | 4 | 8 | 65 | 2 | ✓ | all | 4 | 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 |
| 4.8.49 | 4 | 8 | 65 | 4 | ✓ | all | 4 | rational |