Re: Steiner Systems



Another question:

The order of M22 is 443,520. I have found that the order is always a multiple of C(v,t) in the Steiner system,
for example, C(22,3)=1540, so 1540*288=443,520. If this
counts the elements in the automorphism group of S(3,6,22), what is it counting? Where does the factor 288 come in? Thanks
.