Counts of Hadamard matrices according to their
automorphism group size.  Courtsey of Professor Brendan McKay


G      2  7943811
G      4  2855780
G      6  3066
G      8  1644201
G     10  19
G     12  3315
G     16  789232
G     18  32
G     20  44
G     24  2433
G     32  316427
G     36  82
G     40  9
G     42  6
G     48  2320
G     56  14
G     60  9
G     64  83914
G     72  31
G     96  1141
G    112  18
G    120  20
G    128  40037
G    144  44
G    192  850
G    224  2
G    256  13949
G    288  6
G    320  9
G    336  5
G    384  619
G    448  10
G    512  4502
G    576  12
G    768  267
G    896  4
G   1024  1766
G   1152  15
G   1344  4
G   1536  155
G   2048  832
G   2304  4
G   2688  6
G   3072  134
G   3840  2
G   4096  315
G   4608  8
G   6144  85
G   7168  2
G   8064  2
G   8192  177
G   9216  2
G  10240  8
G  10752  4
G  12288  43
G  14336  6
G  16384  71
G  24576  41
G  29760  1
G  32768  22
G  36864  2
G  49152  8
G  65536  12
G  73728  2
G  98304  8
G 122880  3
G 131072  8
G 172032  1
G 196608  6
G 294912  2
G 393216  6
G 516096  4
G 589824  5
G 688128  4
G 786432  5
G 917504  1
G 1048576  1
G 16515072  2
G 18874368  1
G 20478689280  1
Z 13710027 matrices processed in 14897.16 seconds