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49 matroids

label ▼rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
4.9.049126362880✓all12rational
3.12.290235283121981✓all12?
3.12.256197773122001✓all12?
3.12.233648653122001✓all12?
3.12.224707033122001✓all12?
3.12.224695943122021✓all12?
3.12.222192653122001✓all12?
3.12.167624333122001✓all12?
3.12.166343313122041✓all12?
3.12.166238453122031✓all12?
3.12.162287843122041✓all12?
3.12.162286963122021✓all12?
3.12.162286403122031✓all12?
3.12.162282003122031✓all12?
3.12.162281803122031✓all12?
3.12.162029613122021✓all12?
3.12.162029503122021✓all12?
3.12.154579793122031✓all12?
3.12.154576393122021✓all12?
3.12.154576243122021✓all12?
3.12.154551743122011✓all12?
3.12.151889293122011✓all12?
3.12.142049543122021✓all12?
3.12.142049483122021✓all12?
3.12.135533423122051✓all12?
3.12.90178353122051✓all12?
3.12.58922113122051✓all12?
3.12.37920513122071✓all12?
3.12.2288663122091✓all12?
3.12.160793122111✓all12?
3.12.21273122106✓all12?
3.12.12523122111✓all12?
3.12.12023122111✓all12?
3.12.11363122121✓all12?
3.12.6153122121✓all12?
3.12.5983122111✓all12?
3.12.2803122132✓all12?
3.12.2443122131✓all12?
3.12.1553122134✓all12?
3.12.1223122144✓all12?
3.12.1103122131✓all12?
3.12.913122148✓all12?
3.12.5531221416✓all12?
3.11.567893111564✓all12rational
3.11.5678831115512✓all12rational
3.11.56625311161120960✓all12rational
3.11.43111635760✓all12rational
3.11.23111638640✓all12rational
3.10.03101203628800✓all12rational