Marshall Hall's five inequivalent matrices (16H1 , 16H2 , 16H3 , 16H4 , 16H5 )
Three inequivalent matrices (20H01 , 20H02 , 20H03 ). The first is Paley I Construction, the second and third are Tonchev iii and 1v.
For GECP for some of Kimura's Hadamard matrices Gaussian Elimination with Complete Pivoting.
Sylvester Construction (32Syl ), Paley I Construction (32P02 ), Paley II Construction (P12, P13, P14, P15, P16, P17, P18, P19), Marshall Hall Difference Set Construction (32H03 ), W D Wallis Inequivalent (Code 32G05, 32G06, 32G07, 32G08, 32G09, 32G10, 32G11, 32G12, 32G13, 32G14, 32G15).
Also refer to "Neil Sloane's Library List"
An Extended Library of Hadamard Matrices
32Syl
32P02
32H03
32G05
32G06
32G07
32G08
32G09
32G10
32G11
32G12
32G13
32G14
32G15
P12
P13
P14
P15
P16
P17
P18
P19
Eleven matrices found by Vladimir Tonchev
179 Further Hadamard matrices of order 36
Bush-type Hadamard matrix of order 36 found by Zvonimir Janko
Regular Hadamard matrices of order 36 found by Jennifer Seberry
Some Constructions for order 36
36H140 ,
36H141 ,
36H142 ,
36H143 ,
36H144 ,
36H145 ,
36H146 ,
36H147 ,
36H148 ,
36H149 ,
36H150 ).
36H
36J
36R