:1,2520,11,A7#15.1
:2,360,11,A6 on 2-sets.1
:3,720,0,A6 on 2-sets.2
:4,20160,11,L4,2 on projective points.1
:5,653837184000,11,AlternatingGroup([1..15])
:6,1307674368000,0,SymmetricGroup([1..15])
