Perhaps I'm a bit too fond of counting things, but I tried to count the number of piece sets, and came up with 1492992 (using standard pieces) and 34992000 (using extended pieces). This led me to notice that the Armiger, Duke, and Earl are not listed in any family. If I add two of these pieces to the Knight family, then I get 1658880 and 38880000, but that still leaves one piece unfamilied.
I also count only 864 starting arrays.