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119 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.60 | 3 | 8 | 46 | 8 | ✓ | all | 3 | rational |
| 3.8.61 | 3 | 8 | 46 | 24 | ✓ | all | 2 | empty |
| 3.8.65 | 3 | 8 | 45 | 12 | ✓ | all | 1 | rational |
| 3.8.97 | 3 | 8 | 40 | 48 | ✗ | all | 1 | empty |
| 3.8.98 | 3 | 8 | 41 | 4 | ✗ | all | 0 | rational |
| 3.8.109 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.125 | 3 | 8 | 28 | 168 | ✗ | all | 4 | empty |
| 3.8.138 | 3 | 8 | 43 | 12 | ✓ | all | 3 | rational |
| 3.8.139 | 3 | 8 | 42 | 144 | ✓ | all | 2 | rational |
| 3.8.141 | 3 | 8 | 38 | 48 | ✗ | all | 2 | rational |
| 3.8.142 | 3 | 8 | 30 | 720 | ✗ | all | 1 | rational |
| 3.8.147 | 3 | 8 | 40 | 12 | ✗ | all | 0 | rational |
| 3.8.148 | 3 | 8 | 39 | 24 | ✗ | all | 0 | rational |
| 3.8.151 | 3 | 8 | 39 | 4 | ✗ | all | 0 | rational |
| 3.8.152 | 3 | 8 | 36 | 144 | ✗ | all | 0 | rational |
| 3.8.154 | 3 | 8 | 35 | 8 | ✗ | all | 4 | rational |
| 3.8.158 | 3 | 8 | 36 | 48 | ✗ | all | 2 | rational |
| 3.8.162 | 3 | 8 | 35 | 8 | ✗ | all | 2 | rational |
| 3.8.163 | 3 | 8 | 33 | 24 | ✗ | all but 2 | 0 | rational |
| 3.8.165 | 3 | 8 | 32 | 16 | ✗ | all | 0 | rational |
| 3.8.166 | 3 | 8 | 30 | 16 | ✗ | all but 2 | 0 | rational |
| 3.8.171 | 3 | 8 | 28 | 6 | ✗ | all | 0 | rational |
| 3.8.172 | 3 | 8 | 27 | 72 | ✗ | all | 2 | rational |
| 3.8.178 | 3 | 8 | 33 | 36 | ✗ | all | 0 | rational |
| 3.8.181 | 3 | 8 | 32 | 24 | ✗ | all | 1 | rational |
| 3.8.185 | 3 | 8 | 27 | 72 | ✗ | all | 0 | rational |
| 3.8.187 | 3 | 8 | 29 | 12 | ✗ | all | 2 | rational |
| 3.8.189 | 3 | 8 | 24 | 48 | ✗ | all | 1 | rational |
| 3.8.194 | 3 | 8 | 24 | 12 | ✗ | all | 0 | rational |
| 3.8.197 | 3 | 8 | 24 | 8 | ✗ | all | 4 | rational |
| 3.8.201 | 3 | 8 | 21 | 8 | ✗ | all | 0 | rational |
| 3.8.207 | 3 | 8 | 16 | 48 | ✗ | all | 1 | rational |
| 3.8.210 | 3 | 8 | 24 | 576 | ✗ | all | 0 | rational |
| 3.8.213 | 3 | 8 | 18 | 144 | ✗ | all | 4 | rational |
| 3.8.218 | 3 | 8 | 35 | 240 | ✓ | all | 4 | rational |
| 3.8.219 | 3 | 8 | 30 | 1440 | ✗ | all | 0 | rational |
| 3.8.221 | 3 | 8 | 33 | 24 | ✗ | all | 1 | rational |
| 3.8.222 | 3 | 8 | 32 | 96 | ✗ | all | 1 | rational |
| 3.8.223 | 3 | 8 | 28 | 96 | ✗ | all | 0 | rational |
| 3.8.225 | 3 | 8 | 31 | 16 | ✗ | all | 5 | rational |
| 3.8.226 | 3 | 8 | 30 | 16 | ✗ | all | 0 | rational |
| 3.8.227 | 3 | 8 | 26 | 32 | ✗ | all | 0 | rational |
| 3.8.229 | 3 | 8 | 28 | 32 | ✗ | all | 4 | rational |
| 3.8.230 | 3 | 8 | 24 | 96 | ✗ | all | 2 | rational |
| 3.8.232 | 3 | 8 | 24 | 48 | ✗ | all | 0 | rational |
| 3.8.233 | 3 | 8 | 20 | 240 | ✗ | all | 0 | rational |
| 3.8.235 | 3 | 8 | 29 | 24 | ✗ | all | 3 | rational |
| 3.8.236 | 3 | 8 | 27 | 72 | ✗ | all | 2 | rational |
| 3.8.237 | 3 | 8 | 24 | 72 | ✗ | all | 3 | rational |
| 3.8.239 | 3 | 8 | 27 | 24 | ✗ | all | 2 | rational |