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218 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.14 | 3 | 8 | 50 | 12 | ✓ | all | 2 | rational |
| 3.8.22 | 3 | 8 | 48 | 48 | ✓ | all | 0 | point over Q(a)/(a^2 - a + 1) |
| 3.8.28 | 3 | 8 | 49 | 4 | ✓ | all | 1 | rational |
| 3.8.41 | 3 | 8 | 48 | 1152 | ✓ | all | 4 | rational |
| 3.8.49 | 3 | 8 | 48 | 8 | ✓ | all | 5 | rational |
| 3.8.52 | 3 | 8 | 48 | 16 | ✓ | all | 4 | rational |
| 3.8.54 | 3 | 8 | 48 | 6 | ✓ | all | 3 | rational |
| 3.8.58 | 3 | 8 | 47 | 2 | ✓ | all | 2 | rational |
| 3.8.61 | 3 | 8 | 46 | 24 | ✓ | all | 2 | empty |
| 3.8.64 | 3 | 8 | 46 | 4 | ✓ | all | 2 | rational |
| 3.8.65 | 3 | 8 | 45 | 12 | ✓ | all | 1 | rational |
| 3.8.70 | 3 | 8 | 44 | 96 | ✗ | all | 3 | rational |
| 3.8.74 | 3 | 8 | 46 | 16 | ✗ | all | 2 | rational |
| 3.8.76 | 3 | 8 | 45 | 4 | ✗ | all | 1 | rational |
| 3.8.78 | 3 | 8 | 44 | 16 | ✗ | all | 0 | rational |
| 3.8.80 | 3 | 8 | 43 | 4 | ✗ | all | 4 | rational |
| 3.8.83 | 3 | 8 | 44 | 96 | ✗ | all | 5 | rational |
| 3.8.85 | 3 | 8 | 44 | 2 | ✗ | all | 1 | rational |
| 3.8.87 | 3 | 8 | 44 | 8 | ✗ | all | 2 | rational |
| 3.8.88 | 3 | 8 | 42 | 24 | ✗ | all | 3 | rational |
| 3.8.90 | 3 | 8 | 43 | 4 | ✗ | all | 3 | rational |
| 3.8.91 | 3 | 8 | 42 | 8 | ✗ | all | 4 | rational |
| 3.8.93 | 3 | 8 | 42 | 8 | ✗ | all | 0 | rational |
| 3.8.94 | 3 | 8 | 43 | 4 | ✗ | all | 0 | rational |
| 3.8.97 | 3 | 8 | 40 | 48 | ✗ | all | 1 | empty |
| 3.8.98 | 3 | 8 | 41 | 4 | ✗ | all | 0 | rational |
| 3.8.99 | 3 | 8 | 44 | 192 | ✗ | all | 1 | rational |
| 3.8.101 | 3 | 8 | 40 | 192 | ✗ | all | 2 | rational |
| 3.8.103 | 3 | 8 | 41 | 8 | ✗ | all | 1 | rational |
| 3.8.104 | 3 | 8 | 40 | 32 | ✗ | all | 2 | rational |
| 3.8.105 | 3 | 8 | 40 | 32 | ✗ | all | 0 | rational |
| 3.8.106 | 3 | 8 | 40 | 8 | ✗ | all | 0 | rational |
| 3.8.107 | 3 | 8 | 39 | 8 | ✗ | all | 2 | rational |
| 3.8.108 | 3 | 8 | 38 | 8 | ✗ | all | 2 | rational |
| 3.8.109 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.110 | 3 | 8 | 38 | 96 | ✗ | all | 3 | rational |
| 3.8.111 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.112 | 3 | 8 | 32 | 384 | ✗ | all | 2 | rational |
| 3.8.117 | 3 | 8 | 32 | 48 | ✗ | all | 2 | rational |
| 3.8.119 | 3 | 8 | 31 | 4 | ✗ | all | 0 | rational |
| 3.8.121 | 3 | 8 | 30 | 12 | ✗ | all | 0 | rational |
| 3.8.123 | 3 | 8 | 30 | 8 | ✗ | all | 1 | rational |
| 3.8.125 | 3 | 8 | 28 | 168 | ✗ | all | 4 | empty |
| 3.8.126 | 3 | 8 | 40 | 720 | ✗ | all | 0 | rational |
| 3.8.128 | 3 | 8 | 38 | 48 | ✗ | all | 3 | rational |
| 3.8.129 | 3 | 8 | 36 | 144 | ✗ | all | 2 | rational |
| 3.8.130 | 3 | 8 | 30 | 240 | ✗ | all | 1 | rational |
| 3.8.132 | 3 | 8 | 28 | 16 | ✗ | all | 1 | rational |
| 3.8.133 | 3 | 8 | 20 | 1440 | ✗ | all | 1 | rational |
| 3.8.138 | 3 | 8 | 43 | 12 | ✓ | all | 3 | rational |