:1,19,1,Group([( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:2,38,5,Group([( 2,11)( 3,12)( 4,13)( 5,14)( 6,15)( 7,16)( 8,17)( 9,18)(10,19),( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:3,57,4,Group([( 2,8,14)( 3,9,15)( 4,10,16)( 5,11,17)( 6,12,18)( 7,13,19),( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:4,114,4,Group([( 2,5,8,11,14,17)( 3,6,9,12,15,18)( 4,7,10,13,16,19),( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:5,171,4,Group([( 2,4,6,8,10,12,14,16,18)( 3,5,7,9,11,13,15,17,19),( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:6,342,4,Group([( 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19),( 1,2,3,15,4,18,16,8,5,10,19,14,17,7,9,13,6,12,11)])
:7,60822550204416000,11,AlternatingGroup([1..19])
:8,121645100408832000,0,SymmetricGroup([1..19])
