Hadamard Matrices of Order 1 to 10000

For every order up to 10000, the expression the Hadamard Matrix Explorer uses to build a Hadamard matrix of that order, with the matrix itself as a PNG image. 2417 of the 2502 orders that can exist are covered; the other 85 have no construction in the program yet.

Go to order Show matrix (1, 2 or a multiple of 4)

Orders	Formulas	Possible	Matrices	Unknown
1–1000	HTML	252	252
1001–2000	HTML	250	250
2001–3000	HTML	250	246	4
3001–4000	HTML	250	245	5
4001–5000	HTML	250	240	10
5001–6000	HTML	250	233	17
6001–7000	HTML	250	238	12
7001–8000	HTML	250	236	14
8001–9000	HTML	250	239	11
9001–10000	HTML	250	238	12
Total		2502	2417	85

Notation | Unknown orders

Data from the Hadamard Matrix Explorer, version 58, October 2026.