:1,56,4,Group([(2,6,8,7,4,5,3),(1,5)(2,6)(3,7)(4,8)])
:2,168,4,Group([(2,8,3)(4,7,6),(2,6,8,7,4,5,3),(1,5)(2,6)(3,7)(4,8)])
:3,1344,12,2^3:SL(3,2)
:4,168,11,L2,7 on projective points.1
:5,336,0,L2,7 on projective points.2
:6,20160,11,AlternatingGroup([1..8])
:7,40320,0,SymmetricGroup([1..8])
