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2,017,782 matroids, showing 101–150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.121 | 3 | 8 | 30 | 12 | ✗ | all | 0 | rational |
| 3.8.126 | 3 | 8 | 40 | 720 | ✗ | all | 0 | rational |
| 3.8.135 | 3 | 8 | 45 | 720 | ✓ | all but 2 | 0 | rational |
| 3.8.146 | 3 | 8 | 41 | 4 | ✗ | all | 0 | 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 |
| 3.8.161 | 3 | 8 | 36 | 8 | ✗ | all | 0 | rational |
| 3.8.163 | 3 | 8 | 33 | 24 | ✗ | all but 2 | 0 | rational |
| 3.8.164 | 3 | 8 | 34 | 16 | ✗ | all | 0 | rational |
| 3.8.165 | 3 | 8 | 32 | 16 | ✗ | all | 0 | rational |
| 3.8.166 | 3 | 8 | 30 | 16 | ✗ | all but 2 | 0 | rational |
| 3.8.169 | 3 | 8 | 30 | 12 | ✗ | all | 0 | rational |
| 3.8.171 | 3 | 8 | 28 | 6 | ✗ | all | 0 | rational |
| 3.8.176 | 3 | 8 | 36 | 12 | ✗ | all | 0 | rational |
| 3.8.178 | 3 | 8 | 33 | 36 | ✗ | all | 0 | rational |
| 3.8.185 | 3 | 8 | 27 | 72 | ✗ | all | 0 | rational |
| 3.8.188 | 3 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 3.8.192 | 3 | 8 | 27 | 4 | ✗ | all | 0 | rational |
| 3.8.193 | 3 | 8 | 26 | 4 | ✗ | all | 0 | rational |
| 3.8.194 | 3 | 8 | 24 | 12 | ✗ | all | 0 | rational |
| 3.8.196 | 3 | 8 | 25 | 4 | ✗ | all | 0 | rational |
| 3.8.201 | 3 | 8 | 21 | 8 | ✗ | all | 0 | rational |
| 3.8.206 | 3 | 8 | 17 | 12 | ✗ | all | 0 | rational |
| 3.8.210 | 3 | 8 | 24 | 576 | ✗ | all | 0 | rational |
| 3.8.219 | 3 | 8 | 30 | 1440 | ✗ | all | 0 | rational |
| 3.8.223 | 3 | 8 | 28 | 96 | ✗ | all | 0 | rational |
| 3.8.226 | 3 | 8 | 30 | 16 | ✗ | all | 0 | rational |
| 3.8.227 | 3 | 8 | 26 | 32 | ✗ | all | 0 | rational |
| 3.8.232 | 3 | 8 | 24 | 48 | ✗ | all | 0 | rational |
| 3.8.233 | 3 | 8 | 20 | 240 | ✗ | all | 0 | rational |
| 3.8.234 | 3 | 8 | 30 | 72 | ✗ | all | 0 | rational |
| 3.8.245 | 3 | 8 | 18 | 144 | ✗ | all | 0 | rational |
| 3.8.246 | 3 | 8 | 23 | 24 | ✗ | all | 0 | rational |
| 3.8.247 | 3 | 8 | 22 | 8 | ✗ | all | 0 | rational |
| 3.8.248 | 3 | 8 | 21 | 24 | ✗ | all | 0 | rational |
| 3.8.250 | 3 | 8 | 21 | 16 | ✗ | all | 0 | rational |
| 3.8.252 | 3 | 8 | 19 | 8 | ✗ | all | 0 | rational |
| 3.8.260 | 3 | 8 | 22 | 96 | ✗ | all | 0 | rational |
| 3.8.262 | 3 | 8 | 18 | 96 | ✗ | all | 0 | rational |
| 3.8.263 | 3 | 8 | 16 | 192 | ✗ | all | 0 | rational |
| 3.8.265 | 3 | 8 | 18 | 12 | ✗ | all | 0 | rational |
| 3.8.266 | 3 | 8 | 16 | 48 | ✗ | all | 0 | rational |
| 3.8.279 | 3 | 8 | 16 | 720 | ✗ | all | 0 | rational |
| 3.8.283 | 3 | 8 | 10 | 72 | ✗ | all | 0 | rational |
| 3.8.285 | 3 | 8 | 7 | 72 | ✗ | all | 0 | rational |
| 3.8.290 | 3 | 8 | 19 | 48 | ✗ | all | 0 | rational |
| 3.8.291 | 3 | 8 | 18 | 48 | ✗ | all | 0 | rational |
| 3.8.292 | 3 | 8 | 15 | 720 | ✗ | all | 0 | rational |