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Size rank n

Realizability realizable in char 0 realizable in characteristic char set class birational type

70 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.7.9	3	7	30	12	✓	all	1	rational
3.7.12	3	7	29	24	✓	all but 2	0	rational
3.7.22	3	7	28	6	✓	all	4	rational
3.7.23	3	7	27	72	✓	all	3	rational
3.7.26	3	7	27	24	✗	all	2	rational
3.7.28	3	7	26	4	✗	all	1	rational
3.7.29	3	7	24	12	✗	all	1	rational
3.7.31	3	7	25	4	✗	all	1	rational
3.7.32	3	7	24	8	✗	all	2	rational
3.7.34	3	7	24	48	✗	all	1	rational
3.7.35	3	7	23	8	✗	all	1	rational
3.7.36	3	7	21	8	✗	all	1	rational
3.7.37	3	7	20	48	✗	all	0	rational
3.7.39	3	7	18	72	✗	all	1	rational
3.7.41	3	7	17	6	✗	all	0	rational
3.7.42	3	7	16	24	✗	all	2	rational
3.7.44	3	7	21	36	✗	all	1	rational
3.7.45	3	7	18	144	✗	all	1	rational
3.7.47	3	7	15	12	✗	all	0	rational
3.7.53	3	7	22	8	✗	all	0	rational
3.7.54	3	7	21	24	✗	all	0	rational
3.7.55	3	7	18	24	✗	all	2	rational
3.7.56	3	7	21	16	✗	all	0	rational
3.7.57	3	7	20	16	✗	all	0	rational
3.7.58	3	7	19	8	✗	all	0	rational
3.7.59	3	7	16	16	✗	all	0	rational
3.7.61	3	7	15	12	✗	all	0	rational
3.7.62	3	7	12	48	✗	all	3	rational
3.7.63	3	7	19	24	✗	all	0	rational
3.7.64	3	7	18	12	✗	all	2	rational
3.7.65	3	7	16	48	✗	all	2	rational
3.7.66	3	7	17	24	✗	all	0	rational
3.7.67	3	7	15	24	✗	all	3	rational
3.7.68	3	7	14	24	✗	all	0	rational
3.7.69	3	7	12	48	✗	all	0	rational
3.7.70	3	7	14	8	✗	all	2	rational
3.7.71	3	7	13	4	✗	all	0	rational
3.7.72	3	7	12	16	✗	all	1	rational
3.7.73	3	7	12	16	✗	all	0	rational
3.7.74	3	7	10	8	✗	all	2	rational
3.7.75	3	7	8	48	✗	all	1	rational
3.7.76	3	7	9	24	✗	all	0	rational
3.7.77	3	7	8	16	✗	all	0	rational
3.7.78	3	7	13	144	✗	all	0	rational
3.7.79	3	7	12	144	✗	all	2	rational
3.7.80	3	7	10	36	✗	all	0	rational
3.7.81	3	7	9	36	✗	all	0	rational
3.7.82	3	7	7	24	✗	all	0	rational
3.7.83	3	7	6	24	✗	all	2	rational
3.7.84	3	7	4	144	✗	all	1	rational