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Size rank n

Invariants Bases Automorphisms Dimension of realization space Girth Expected dimension over ℤ

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

Properties Simple Connected Paving Uniform Regular Binary Ternary Quaternary Graphic Transversal Series parallel Self dual Orientable Supersolvable Three lines Free realization space Realization space: smooth over ℤ Realization space: is regular scheme

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381,879 matroids, showing 7,151–7,200

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.296020	3	11	112	144	✗	all	6	empty
3.11.296051	3	11	108	48	✗	all	6	rational
3.11.296065	3	11	106	24	✗	all	6	rational
3.11.296070	3	11	108	144	✗	all	6	rational
3.11.296076	3	11	105	48	✗	all	6	rational
3.11.296144	3	11	106	48	✗	all	6	rational
3.11.296240	3	11	110	1152	✗	all	6	rational
3.11.296318	3	11	101	72	✗	all	6	rational
3.11.296346	3	11	88	576	✗	all	6	rational
3.11.296393	3	11	93	48	✗	all	6	rational
3.11.296394	3	11	92	384	✗	all	6	rational
3.11.296410	3	11	91	4	✗	all	6	rational
3.11.296414	3	11	89	4	✗	all	6	rational
3.11.296416	3	11	88	16	✗	all	6	rational
3.11.296456	3	11	90	16	✗	all	6	rational
3.11.296506	3	11	87	8	✗	all	6	rational
3.11.296599	3	11	71	24	✗	all	6	rational
3.11.296601	3	11	71	24	✗	all	6	rational
3.11.296715	3	11	95	288	✗	all	6	rational
3.11.296734	3	11	92	96	✗	all	6	rational
3.11.296755	3	11	87	96	✗	all	6	rational
3.11.296764	3	11	89	96	✗	all	6	rational
3.11.296890	3	11	80	288	✗	all	6	rational
3.11.296942	3	11	72	48	✗	all	6	empty
3.11.296987	3	11	65	144	✗	all	6	rational
3.11.297037	3	11	65	4	✗	all	6	rational
3.11.297061	3	11	59	16	✗	all	6	rational
3.11.297259	3	11	60	384	✗	all	6	rational
3.11.297415	3	11	102	1440	✗	all	6	rational
3.11.297444	3	11	96	288	✗	all	6	rational
3.11.297728	3	11	48	288	✗	all	6	rational
3.11.297733	3	11	64	72	✗	all	6	rational
3.11.297740	3	11	53	72	✗	all	6	rational
3.11.297807	3	11	69	1440	✗	all	6	rational
3.11.297838	3	11	59	288	✗	all	6	rational
3.11.297860	3	11	54	288	✗	all	6	rational
3.11.297880	3	11	51	144	✗	all	6	rational
3.11.297884	3	11	49	24	✗	all	6	rational
3.11.297890	3	11	42	144	✗	all	6	rational
3.11.297899	3	11	36	432	✗	all	6	rational
3.11.297916	3	11	39	288	✗	all	6	rational
3.11.297935	3	11	63	8640	✗	all	6	rational
3.11.297945	3	11	54	8640	✗	all	6	rational
3.11.297948	3	11	52	5760	✗	all	6	rational
3.11.297966	3	11	46	576	✗	all	6	rational
3.11.297974	3	11	43	576	✗	all	6	rational
3.11.297992	3	11	32	144	✗	all	6	rational
3.11.297994	3	11	31	144	✗	all	6	rational
3.11.298048	3	11	66	576	✗	all	6	rational
3.11.298073	3	11	60	576	✗	all	6	rational