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32,400,859 matroids, showing 501–550
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.194 | 3 | 8 | 24 | 12 | ✗ | all | 0 | rational |
| 3.8.195 | 3 | 8 | 26 | 16 | ✗ | all | 3 | rational |
| 3.8.196 | 3 | 8 | 25 | 4 | ✗ | all | 0 | rational |
| 3.8.197 | 3 | 8 | 24 | 8 | ✗ | all | 4 | rational |
| 3.8.198 | 3 | 8 | 25 | 48 | ✗ | all | 2 | rational |
| 3.8.199 | 3 | 8 | 24 | 48 | ✗ | all | 2 | rational |
| 3.8.200 | 3 | 8 | 23 | 8 | ✗ | all | 1 | rational |
| 3.8.201 | 3 | 8 | 21 | 8 | ✗ | all | 0 | rational |
| 3.8.202 | 3 | 8 | 20 | 48 | ✗ | all | 3 | rational |
| 3.8.203 | 3 | 8 | 19 | 72 | ✗ | all | 1 | rational |
| 3.8.204 | 3 | 8 | 18 | 144 | ✗ | all | 3 | rational |
| 3.8.205 | 3 | 8 | 18 | 16 | ✗ | all | 5 | rational |
| 3.8.206 | 3 | 8 | 17 | 12 | ✗ | all | 0 | rational |
| 3.8.207 | 3 | 8 | 16 | 48 | ✗ | all | 1 | rational |
| 3.8.208 | 3 | 8 | 28 | 576 | ✗ | all | 1 | rational |
| 3.8.209 | 3 | 8 | 27 | 144 | ✗ | all | 1 | rational |
| 3.8.210 | 3 | 8 | 24 | 576 | ✗ | all | 0 | rational |
| 3.8.211 | 3 | 8 | 22 | 144 | ✗ | all | 2 | rational |
| 3.8.212 | 3 | 8 | 21 | 36 | ✗ | all | 1 | rational |
| 3.8.213 | 3 | 8 | 18 | 144 | ✗ | all | 4 | rational |
| 3.8.214 | 3 | 8 | 16 | 96 | ✗ | all | 1 | rational |
| 3.8.215 | 3 | 8 | 15 | 24 | ✗ | all | 1 | rational |
| 3.8.216 | 3 | 8 | 10 | 720 | ✗ | all | 1 | rational |
| 3.8.217 | 3 | 8 | 36 | 1440 | ✓ | all | 1 | rational |
| 3.8.218 | 3 | 8 | 35 | 240 | ✓ | all | 4 | rational |
| 3.8.219 | 3 | 8 | 30 | 1440 | ✗ | all | 0 | rational |
| 3.8.220 | 3 | 8 | 34 | 96 | ✗ | all | 3 | 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 |
| 3.8.224 | 3 | 8 | 32 | 32 | ✗ | all | 4 | 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 |
| 3.8.228 | 3 | 8 | 30 | 96 | ✗ | all | 1 | rational |
| 3.8.229 | 3 | 8 | 28 | 32 | ✗ | all | 4 | rational |
| 3.8.230 | 3 | 8 | 24 | 96 | ✗ | all | 2 | rational |
| 3.8.231 | 3 | 8 | 25 | 240 | ✗ | all | 1 | 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 |
| 3.8.235 | 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 |
| 3.8.238 | 3 | 8 | 28 | 24 | ✗ | all | 2 | rational |
| 3.8.239 | 3 | 8 | 27 | 24 | ✗ | all | 2 | rational |
| 3.8.240 | 3 | 8 | 26 | 24 | ✗ | all | 2 | rational |
| 3.8.241 | 3 | 8 | 25 | 24 | ✗ | all | 1 | rational |
| 3.8.242 | 3 | 8 | 22 | 24 | ✗ | all | 1 | rational |
| 3.8.243 | 3 | 8 | 24 | 144 | ✗ | all | 1 | rational |