(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)

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

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

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), (2,55,6,58,26)(3,38,11,44,51)(4,21,16,30,5)(7,41,31,59,9)(8,24,36,45,34)(10,61,46,17,13)(12,27,56,60,63)(14,64,66,32,42)(15,47,71,18,67)(19,50,20,33,25)(22,70,35,62,29)(23,53,40,48,54)(28,39,65,49,37)(43,68,69,52,57) );

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)], [(2,55,6,58,26),(3,38,11,44,51),(4,21,16,30,5),(7,41,31,59,9),(8,24,36,45,34),(10,61,46,17,13),(12,27,56,60,63),(14,64,66,32,42),(15,47,71,18,67),(19,50,20,33,25),(22,70,35,62,29),(23,53,40,48,54),(28,39,65,49,37),(43,68,69,52,57)]])

G:=sub<GL(5,GF(2131))| [0,0,0,0,1,1,0,0,0,1930,0,1,0,0,703,0,0,1,0,119,0,0,0,1,1108],[1,749,1305,0,2,0,1697,436,0,923,0,1105,858,0,604,0,141,744,0,989,0,1882,1817,1,1706] >;