:1,75,4,Group([( 2,20,7)( 3,22,13)( 4,8,19)( 5,14,25)( 6,10,23)( 9,11,12)(15,16,18)(17,21,24),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:2,150,4,Group([( 2,19)( 3,25)( 4,7)( 5,13)( 8,20)( 9,12)(10,23)(14,22)(15,18)(17,24),( 2,20,7)( 3,22,13)( 4,8,19)( 5,14,25)( 6,10,23)( 9,11,12)(15,16,18)(17,21,24),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:3,150,4,Group([( 2,19,20,4,7,8)( 3,25,22,5,13,14)( 6,15,10,16,23,18)( 9,24,11,17,12,21),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:4,200,4,Group([( 2,16,4,6)( 3,21,5,11)( 7,17,19,9)( 8,22,20,14)(10,12,18,24)(13,23,25,15),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:5,200,4,Group([( 2,6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:6,200,4,Group([( 2,15,3,17,4,23,5,9)( 6,14,11,20,16,22,21,8)( 7,18,13,24,19,10,25,12),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:7,300,4,Group([( 2,19)( 3,25)( 4,7)( 5,13)( 8,20)( 9,12)(10,23)(14,22)(15,18)(17,24),( 2,19,20,4,7,8)( 3,25,22,5,13,14)( 6,15,10,16,23,18)( 9,24,11,17,12,21),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:8,300,4,Group([( 2,3,4,5)( 6,24,16,12)( 7,22,19,14)( 8,25,20,13)( 9,23,17,15)(10,21,18,11),( 2,19,20,4,7,8)( 3,25,22,5,13,14)( 6,15,10,16,23,18)( 9,24,11,17,12,21),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:9,300,4,Group([( 2,14,19,3,20,25,4,22,7,5,8,13)( 6,24,15,11,10,17,16,12,23,21,18,9),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:10,400,4,Group([( 2,11,3,16,4,21,5,6)( 7,12,13,18,19,24,25,10)( 8,17,14,23,20,9,22,15),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 2,3,4,5)( 6,11,16,21)( 7,13,19,25)( 8,14,20,22)( 9,15,17,23)(10,12,18,24),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:11,400,4,Group([( 2,6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 2,3,4,5)( 6,11,16,21)( 7,13,19,25)( 8,14,20,22)( 9,15,17,23)(10,12,18,24),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:12,600,4,Group([( 2,11,3,16,4,21,5,6)( 7,12,13,18,19,24,25,10)( 8,17,14,23,20,9,22,15),( 2,14,19,3,20,25,4,22,7,5,8,13)( 6,24,15,11,10,17,16,12,23,21,18,9),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:13,600,4,Group([( 2,19)( 3,25)( 4,7)( 5,13)( 8,20)( 9,12)(10,23)(14,22)(15,18)(17,24),( 2,14,19,3,20,25,4,22,7,5,8,13)( 6,24,15,11,10,17,16,12,23,21,18,9),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:14,600,4,Group([( 2,24,14,15,19,11,3,10,20,17,25,16,4,12,22,23,7,21,5,18,8,9,13,6),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:15,600,4,Group([( 2,22,15)( 3,8,17)( 4,14,23)( 5,20,9)( 6,24,7)(10,13,11)(12,19,16)(18,25,21),( 2,11,4,21)( 3,16,5,6)( 7,13,19,25)( 8,18,20,10)( 9,23,17,15)(12,14,24,22),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:16,800,4,Group([( 2,6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24),( 6,11,16,21)( 7,12,17,22)( 8,13,18,23)( 9,14,19,24)(10,15,20,25),( 2,3,4,5)( 7,8,9,10)(12,13,14,15)(17,18,19,20)(22,23,24,25),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:17,1200,4,Group([( 2,19)( 3,25)( 4,7)( 5,13)( 8,20)( 9,12)(10,23)(14,22)(15,18)(17,24),( 2,24,14,15,19,11,3,10,20,17,25,16,4,12,22,23,7,21,5,18,8,9,13,6),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:18,1200,4,Group([( 2,3,4,5)( 6,11,16,21)( 7,13,19,25)( 8,14,20,22)( 9,15,17,23)(10,12,18,24),( 2,22,15)( 3,8,17)( 4,14,23)( 5,20,9)( 6,24,7)(10,13,11)(12,19,16)(18,25,21),( 2,11,4,21)( 3,16,5,6)( 7,13,19,25)( 8,18,20,10)( 9,23,17,15)(12,14,24,22),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:19,2400,4,Group([( 2,19,3,25,4,7,5,13)( 6,9,11,15,16,17,21,23)( 8,18,14,24,20,10,22,12),( 2,22,15)( 3,8,17)( 4,14,23)( 5,20,9)( 6,24,7)(10,13,11)(12,19,16)(18,25,21),( 2,11,4,21)( 3,16,5,6)( 7,13,19,25)( 8,18,20,10)( 9,23,17,15)(12,14,24,22),( 2,5,4,3)( 6,11,16,21)( 7,15,19,23)( 8,12,20,24)( 9,13,17,25)(10,14,18,22),( 1,6,11,21,16)( 2,7,12,22,17)( 3,8,13,23,18)( 4,9,14,24,19)( 5,10,15,25,20)])
:20,25,1,5^2:GL(2,5)_1
:21,50,4,5^2:GL(2,5)_2
:22,100,4,5^2:GL(2,5)_3
:23,7200,0,L2,4 on projective points^2.1
:24,14400,0,L2,4 on projective points^2.2
:25,14400,0,L2,4 on projective points^2.3
:26,28800,0,L2,4 on projective points^2.4
