5040

import itertools
s=set()
for a,b,c,d,e,f,g,h,i in itertools.permutations('abcdefghi'):
    #a b c
    #d e f
    #g h i
    x=[('+',a,e,i),('+',g,b,f),('+',d,h,c),('-',g,e,c),('-',d,b,i),('-',a,h,f)]
    s.add(''.join(sorted(''.join(sorted(l)) for l in x)))
print len(s)

10080