(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 90 91 92 93 94 95)(96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114)(115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133)(134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152)(153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171)

(1 157 109 56 139 81 20 129 61)(2 164 101 57 146 92 21 117 72)(3 171 112 39 134 84 22 124 64)(4 159 104 40 141 95 23 131 75)(5 166 96 41 148 87 24 119 67)(6 154 107 42 136 79 25 126 59)(7 161 99 43 143 90 26 133 70)(8 168 110 44 150 82 27 121 62)(9 156 102 45 138 93 28 128 73)(10 163 113 46 145 85 29 116 65)(11 170 105 47 152 77 30 123 76)(12 158 97 48 140 88 31 130 68)(13 165 108 49 147 80 32 118 60)(14 153 100 50 135 91 33 125 71)(15 160 111 51 142 83 34 132 63)(16 167 103 52 149 94 35 120 74)(17 155 114 53 137 86 36 127 66)(18 162 106 54 144 78 37 115 58)(19 169 98 55 151 89 38 122 69)

G:=sub<Sym(171)| (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)(77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95)(96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114)(115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133)(134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152)(153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171), (1,157,109,56,139,81,20,129,61)(2,164,101,57,146,92,21,117,72)(3,171,112,39,134,84,22,124,64)(4,159,104,40,141,95,23,131,75)(5,166,96,41,148,87,24,119,67)(6,154,107,42,136,79,25,126,59)(7,161,99,43,143,90,26,133,70)(8,168,110,44,150,82,27,121,62)(9,156,102,45,138,93,28,128,73)(10,163,113,46,145,85,29,116,65)(11,170,105,47,152,77,30,123,76)(12,158,97,48,140,88,31,130,68)(13,165,108,49,147,80,32,118,60)(14,153,100,50,135,91,33,125,71)(15,160,111,51,142,83,34,132,63)(16,167,103,52,149,94,35,120,74)(17,155,114,53,137,86,36,127,66)(18,162,106,54,144,78,37,115,58)(19,169,98,55,151,89,38,122,69)>;

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)(77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95)(96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114)(115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133)(134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152)(153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171), (1,157,109,56,139,81,20,129,61)(2,164,101,57,146,92,21,117,72)(3,171,112,39,134,84,22,124,64)(4,159,104,40,141,95,23,131,75)(5,166,96,41,148,87,24,119,67)(6,154,107,42,136,79,25,126,59)(7,161,99,43,143,90,26,133,70)(8,168,110,44,150,82,27,121,62)(9,156,102,45,138,93,28,128,73)(10,163,113,46,145,85,29,116,65)(11,170,105,47,152,77,30,123,76)(12,158,97,48,140,88,31,130,68)(13,165,108,49,147,80,32,118,60)(14,153,100,50,135,91,33,125,71)(15,160,111,51,142,83,34,132,63)(16,167,103,52,149,94,35,120,74)(17,155,114,53,137,86,36,127,66)(18,162,106,54,144,78,37,115,58)(19,169,98,55,151,89,38,122,69) );

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),(77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95),(96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114),(115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133),(134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152),(153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171)], [(1,157,109,56,139,81,20,129,61),(2,164,101,57,146,92,21,117,72),(3,171,112,39,134,84,22,124,64),(4,159,104,40,141,95,23,131,75),(5,166,96,41,148,87,24,119,67),(6,154,107,42,136,79,25,126,59),(7,161,99,43,143,90,26,133,70),(8,168,110,44,150,82,27,121,62),(9,156,102,45,138,93,28,128,73),(10,163,113,46,145,85,29,116,65),(11,170,105,47,152,77,30,123,76),(12,158,97,48,140,88,31,130,68),(13,165,108,49,147,80,32,118,60),(14,153,100,50,135,91,33,125,71),(15,160,111,51,142,83,34,132,63),(16,167,103,52,149,94,35,120,74),(17,155,114,53,137,86,36,127,66),(18,162,106,54,144,78,37,115,58),(19,169,98,55,151,89,38,122,69)]])

G:=sub<GL(3,GF(7))| [2,2,0,5,2,4,2,0,6],[2,3,1,2,0,0,4,2,5] >;