(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89)

(2 35 89 56)(3 69 88 22)(4 14 87 77)(5 48 86 43)(6 82 85 9)(7 27 84 64)(8 61 83 30)(10 40 81 51)(11 74 80 17)(12 19 79 72)(13 53 78 38)(15 32 76 59)(16 66 75 25)(18 45 73 46)(20 24 71 67)(21 58 70 33)(23 37 68 54)(26 50 65 41)(28 29 63 62)(31 42 60 49)(34 55 57 36)(39 47 52 44)

G:=sub<Sym(89)| (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89), (2,35,89,56)(3,69,88,22)(4,14,87,77)(5,48,86,43)(6,82,85,9)(7,27,84,64)(8,61,83,30)(10,40,81,51)(11,74,80,17)(12,19,79,72)(13,53,78,38)(15,32,76,59)(16,66,75,25)(18,45,73,46)(20,24,71,67)(21,58,70,33)(23,37,68,54)(26,50,65,41)(28,29,63,62)(31,42,60,49)(34,55,57,36)(39,47,52,44)>;

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

G=PermutationGroup([[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89)], [(2,35,89,56),(3,69,88,22),(4,14,87,77),(5,48,86,43),(6,82,85,9),(7,27,84,64),(8,61,83,30),(10,40,81,51),(11,74,80,17),(12,19,79,72),(13,53,78,38),(15,32,76,59),(16,66,75,25),(18,45,73,46),(20,24,71,67),(21,58,70,33),(23,37,68,54),(26,50,65,41),(28,29,63,62),(31,42,60,49),(34,55,57,36),(39,47,52,44)]])

G:=sub<GL(4,GF(1069))| [524,311,596,462,1,0,0,625,0,1,0,629,0,0,1,1053],[781,183,781,634,1028,481,838,261,1028,245,824,462,875,320,612,52] >;