G:=Group(
(2,15,24)(3,83,59)(4,71,77)(5,32,79)(6,40,16)(7,55,48)(8,51,100)(9,47,110)
(10,43,41)(11,38,61)(12,39,35)(13,23,70)(14,27,67)(17,84,33)(18,89,106)(19,81,
22)(20,21,88)(25,66,63)(26,90,64)(28,97,109)(29,58,52)(30,68,54)(34,92,42)
(36,49,99)(37,104,62)(44,98,82)(45,56,91)(46,87,75)(50,74,80)(53,72,94)(57,65,
105)(60,73,85)(69,78,101)(76,102,86)(93,95,112)(96,107,103),
(1,4,12,31,8,2,7,19)(3,5,14,37,24,10,26,35)(6,17,13,34)(9,23,54,83,48,66,44,
21)(11,29,64,99,36,73,59,92)(15,30,41,58)(16,40,77,47,28,38,74,51)(18,45,79,
108,25,57,62,95)(20,49,85,87,22,52,72,104)(27,61,93,43,71,103,106,55)(32,65,
69,60)(33,68,100,80,56,89,46,81)(39,76,67,90)(42,78,96,109,53,88,111,107)
(50,86,98,94,101,110,91,97)(63,82,84,75,105,112,70,102) );
