1PRIMGRP[2]:= 2[ [ 1, 2, 3, "1", [ [ 1, 1 ] ], 2, "Sym(2)", [ "Z", 2, 1 ], "Sym", 1 ] ]; 3PRIMGRP[3]:= 4[ [ 1, 3, 3, "1", [ [ 1, 2 ] ], 1, "Alt(3)", [ "Z", 3, 1 ], "Alt", 1 ], 5 [ 2, 6, 2, "1", [ [ 2, 1 ] ], 3, "Sym(3)", [ "Z", 3, 1 ], "Sym", 2 ] ]; 6PRIMGRP[4]:= 7[ [ 1, 12, 2, "1", [ [ 3, 1 ] ], 2, "Alt(4)", [ "Z", 2, 2 ], "Alt", 1 ], 8 [ 2, 24, 2, "1", [ [ 3, 1 ] ], 4, "Sym(4)", [ "Z", 2, 2 ], "Sym", 2 ] ]; 9PRIMGRP[5]:= 10[ [ 1, 5, 3, "1", [ [ 1, 4 ] ], 1, "C(5)", [ "Z", 5, 1 ], [ ], 1 ], 11 [ 2, 10, 2, "1", [ [ 2, 2 ] ], 1, "D(2*5)", [ "Z", 5, 1 ], 12 [ [ [ Z(5)^2 ] ] ], 2 ], 13 [ 3, 20, 2, "1", [ [ 4, 1 ] ], 2, "AGL(1, 5)", [ "Z", 5, 1 ], 14 [ [ [ Z(5) ] ] ], 3 ], 15 [ 4, 60, 1, "2", [ [ 4, 1 ] ], 3, "Alt(5)", [ "A", 5, 1 ], "Alt", 4 ], 16 [ 5, 120, 0, "2", [ [ 4, 1 ] ], 5, "Sym(5)", [ "A", 5, 1 ], "Sym", 5 ] ]; 17PRIMGRP[6]:= 18[[ 1, 60, 1, "2", [ [ 5, 1 ] ], 2, "PSL(2, 5)", [ "L", [ 2, 5 ], 1 ], "psl", 1 19 ], 20[ 2, 120, 0, "2", [ [ 5, 1 ] ], 3, "PGL(2, 5)", [ "L", [ 2, 5 ], 1 ], "pgl", 21 2 ], 22[3, Factorial(6)/2,1,"2",[[5,1]],4, "Alt(6)", ["A",6, 1], "Alt", 3], 23[4, Factorial(6),0,"2",[[5, 1]],6, "Sym(6)", ["A",6, 1], "Sym", 4]]; 24PRIMGRP[7]:= 25[[ 1, 7, 3, "1", [ [ 1, 6 ] ], 1, "C(7)", [ "Z", 7, 1 ], [ ], 1 ], 26[ 2, 14, 2, "1", [ [ 2, 3 ] ], 1, "D(2*7)", [ "Z", 7, 1 ], [ [ [ Z(7)^3 ] ] ], 27 2 ], 28[ 3, 21, 2, "1", [ [ 3, 2 ] ], 1, "7:3", [ "Z", 7, 1 ], [ [ [ Z(7)^2 ] ] ], 3 29 ], 30[ 4, 42, 2, "1", [ [ 6, 1 ] ], 2, "AGL(1, 7)", [ "Z", 7, 1 ], 31 [ [ [ Z(7) ] ] ], 4 ], 32[ 5, 168, 1, "2", [ [ 6, 1 ] ], 2, "L(3, 2)", [ "L", [ 2, 7 ], 1 ], 33 [ (1,4)(6,7), (1,3,2)(4,7,5) ], 5 ], 34[6, Factorial(7)/2,1,"2",[[6,1]],5, "Alt(7)", ["A",7, 1], "Alt", 6], 35[7, Factorial(7),0,"2",[[6, 1]],7, "Sym(7)", ["A",7, 1], "Sym", 7]]; 36PRIMGRP[8]:= 37[[ 1, 56, 2, "1", [ [ 7, 1 ] ], 2, "AGL(1, 8)", [ "Z", 2, 3 ], 38 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0 ], 39 [ Z(2)^0, Z(2)^0, 0*Z(2) ] ] ], 1 ], 40[ 2, 168, 2, "1", [ [ 7, 1 ] ], 2, "AGammaL(1, 8)", [ "Z", 2, 3 ], 41 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0 ], 42 [ Z(2)^0, Z(2)^0, 0*Z(2) ] ], 43 [ [ Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0 ], 44 [ 0*Z(2), Z(2)^0, Z(2)^0 ] ] ], 2 ], 45[ 3, 1344, 0, "1", [ [ 7, 1 ] ], 3, "ASL(3, 2)", [ "Z", 2, 3 ], 46 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0 ], 47 [ Z(2)^0, Z(2)^0, 0*Z(2) ] ], 48 [ [ Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0 ], 49 [ 0*Z(2), Z(2)^0, 0*Z(2) ] ] ], 5 ], 50[ 4, 168, 1, "2", [ [ 7, 1 ] ], 2, "PSL(2, 7)", [ "L", [ 2, 7 ], 1 ], 51 [ (1,2,3,4,5,6,7), (2,3,5)(4,7,6), (1,8)(2,7)(3,4)(5,6) ], 3 ], 52[ 5, 336, 0, "2", [ [ 7, 1 ] ], 3, "PGL(2, 7)", [ "L", [ 2, 7 ], 1 ], 53 [ (1,2,3,4,5,6,7), (2,4,3,7,5,6), (1,8)(2,7)(3,4)(5,6) ], 4 ], 54[6, Factorial(8)/2,1,"2",[[7,1]],6, "Alt(8)", ["A",8, 1], "Alt", 6], 55[7, Factorial(8),0,"2",[[7, 1]],8, "Sym(8)", ["A",8, 1], "Sym", 7]]; 56PRIMGRP[9]:= 57[[ 1, 36, 2, "1", [ [ 4, 2 ] ], 1, "3^2:4", [ "Z", 3, 2 ], 58 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3) ] ] ], 1 ], 59[ 2, 72, 2, "1", [ [ 4, 2 ] ], 1, "3^2:D(2*4)", [ "Z", 3, 2 ], 60 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3) ] ], 61 [ [ Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3) ] ] ], 2 ], 62[ 3, 72, 2, "1", [ [ 8, 1 ] ], 2, "3^2:Q(8)=M(9)", [ "Z", 3, 2 ], 63 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3) ] ], 64 [ [ Z(3), Z(3) ], [ Z(3), Z(3)^0 ] ] ], 4 ], 65[ 4, 72, 2, "1", [ [ 8, 1 ] ], 2, "3^2:8=AGL(1,9)", [ "Z", 3, 2 ], 66 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0 ] ] ], 3 ], 67[ 5, 144, 2, "1", [ [ 8, 1 ] ], 2, "AGammaL(1, 9)", [ "Z", 3, 2 ], 68 [ [ [ Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3) ] ], 69 [ [ 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0 ] ] ], 5 ], 70[ 6, 216, 2, "1", [ [ 8, 1 ] ], 2, "3^2:(2'A(4))", [ "Z", 3, 2 ], 71 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3) ] ], 72 [ [ Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3)^0 ] ] ], 6 ], 73[ 7, 432, 2, "1", [ [ 8, 1 ] ], 2, "AGL(2, 3)", [ "Z", 3, 2 ], 74 [ [ [ 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0 ] ], 75 [ [ Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3)^0 ] ] ], 7 ], 76[ 8, 504, 1, "2", [ [ 8, 1 ] ], 3, "PSL(2, 8)", [ "L", [ 2, 8 ], 1 ], 77 [ (1,2,3,4,5,6,7), (1,8)(2,4)(3,7)(5,6), (2,7)(3,6)(4,5)(8,9) ], 8 ], 78[ 9, 1512, 0, "2", [ [ 8, 1 ] ], 3, "PGammaL(2, 8)", [ "L", [ 2, 8 ], 1 ], 79 [ (1,2,3,4,5,6,7), (2,3,5)(4,7,6), (1,8)(2,4)(3,7)(5,6), 80 (2,7)(3,6)(4,5)(8,9) ], 9 ], 81[10, Factorial(9)/2,1,"2",[[8,1]],7, "Alt(9)", ["A",9, 1], "Alt", 10], 82[11, Factorial(9),0,"2",[[8, 1]],9, "Sym(9)", ["A",9, 1], "Sym", 11]]; 83PRIMGRP[10]:= 84[[ 1, 60, 1, "2", [ [ 3, 1 ], [ 6, 1 ] ], 1, "A(5)", [ "A", 5, 1 ], 85 [ ( 1, 5, 7)( 2, 9, 4)( 3, 8,10), ( 2, 6)( 3, 5)( 4, 7)( 9,10) ], 1 ], 86[ 2, 120, 0, "2", [ [ 3, 1 ], [ 6, 1 ] ], 1, "S(5)", [ "A", 5, 1 ], 87 [ ( 1, 5, 7)( 2, 9, 4)( 3, 8,10), ( 1, 8)( 2, 5, 6, 3)( 4, 9, 7,10) ], 2 ], 88[ 3, 360, 1, "2", [ [ 9, 1 ] ], 2, "PSL(2, 9)", [ "A", 6, 1 ], 89 [ (1,2,3)(4,5,6)(7,8,9), (2,4,3,7)(5,6,9,8), ( 1,10)( 4, 7)( 5, 6)( 8, 9) ], 90 3 ], 91[ 4, 720, 0, "2", [ [ 9, 1 ] ], 3, "PGL(2, 9)", [ "A", 6, 1 ], 92 [ (1,2,3)(4,5,6)(7,8,9), (2,6,4,9,3,8,7,5), ( 1,10)( 4, 7)( 5, 6)( 8, 9) ], 93 5 ], 94[ 5, 720, 0, "2", [ [ 9, 1 ] ], 2, "PSigmaL(2, 9)", [ "A", 6, 1 ], 95 [ (1,2,3)(4,5,6)(7,8,9), (2,4,3,7)(5,6,9,8), (4,7)(5,8)(6,9), 96 ( 1,10)( 4, 7)( 5, 6)( 8, 9) ], 4 ], 97[ 6, 720, 0, "2", [ [ 9, 1 ] ], 3, "M(10)", [ "A", 6, 1 ], 98 [ (1,2,3)(4,5,6)(7,8,9), (2,4,3,7)(5,6,9,8), (2,9,3,5)(4,6,7,8), 99 ( 1,10)( 4, 7)( 5, 6)( 8, 9) ], 6 ], 100[ 7, 1440, 0, "2", [ [ 9, 1 ] ], 3, "PGammaL(2, 9)", [ "A", 6, 1 ], 101 [ (1,2,3)(4,5,6)(7,8,9), (4,7)(5,8)(6,9), (2,6,4,9,3,8,7,5), 102 ( 1,10)( 4, 7)( 5, 6)( 8, 9) ], 7 ], 103[8, Factorial(10)/2,1,"2",[[9,1]],8, "Alt(10)", ["A",10, 1], "Alt", 8], 104[9, Factorial(10),0,"2",[[9, 1]],10, "Sym(10)", ["A",10, 1], "Sym", 9]]; 105PRIMGRP[11]:= 106[[ 1, 11, 3, "1", [ [ 1, 10 ] ], 1, "C(11)", [ "Z", 11, 1 ], [ ], 1 ], 107[ 2, 22, 2, "1", [ [ 2, 5 ] ], 1, "D(2*11)", [ "Z", 11, 1 ], 108 [ [ [ Z(11)^5 ] ] ], 2 ], 109[ 3, 55, 2, "1", [ [ 5, 2 ] ], 1, "11:5", [ "Z", 11, 1 ], [ [ [ Z(11)^2 ] ] ], 110 3 ], 111[ 4, 110, 2, "1", [ [ 10, 1 ] ], 2, "AGL(1, 11)", [ "Z", 11, 1 ], 112 [ [ [ Z(11) ] ] ], 4 ], 113[ 5, 660, 1, "2", [ [ 10, 1 ] ], 2, "L(2, 11)", [ "L", [ 2, 11 ], 1 ], 114 [ ( 1, 5)( 2, 4)( 3,10)( 7,11), ( 3,11, 5)( 4, 7, 9)( 6, 8,10) ], 5 ], 115[ 6, 7920, 1, "2", [ [ 10, 1 ] ], 4, "M(11)", [ "Spor", "M(11)", 1 ], 116 [ ( 1,10)( 2, 8)( 3,11)( 5, 7), ( 1, 4, 7, 6)( 2,11,10, 9) ], 6 ], 117[7, Factorial(11)/2,1,"2",[[10,1]],9, "Alt(11)", ["A",11, 1], "Alt", 7], 118[8, Factorial(11),0,"2",[[10, 1]],11, "Sym(11)", ["A",11, 1], "Sym", 8]]; 119PRIMGRP[12]:= 120[[ 1, 7920, 1, "2", [ [ 11, 1 ] ], 3, "M(11)", [ "Spor", "M(11)", 1 ], 121 [ ( 1, 5, 7)( 2, 9, 4)( 3, 8,10), ( 2, 6)( 3, 5)( 4, 7)( 9,10), 122 ( 1,11)( 2, 7)( 3, 5)( 4, 6), ( 2, 5)( 3, 6)( 4, 7)(11,12) ], 3 ], 123[ 2, 95040, 1, "2", [ [ 11, 1 ] ], 5, "M(12)", [ "Spor", "M(12)", 1 ], 124 [ (1,2,3)(4,5,6)(7,8,9), (2,4,3,7)(5,6,9,8), (2,9,3,5)(4,6,7,8), 125 ( 1,10)( 4, 7)( 5, 6)( 8, 9), ( 4, 8)( 5, 9)( 6, 7)(10,11), 126 ( 4, 7)( 5, 8)( 6, 9)(11,12) ], 4 ], 127[ 3, 660, 1, "2", [ [ 11, 1 ] ], 2, "PSL(2, 11)", [ "L", [ 2, 11 ], 1 ], 128 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11), ( 2, 5, 6,10, 4)( 3, 9,11, 8, 7), 129 ( 1,12)( 2,11)( 3, 6)( 4, 8)( 5, 9)( 7,10) ], 1 ], 130[ 4, 1320, 0, "2", [ [ 11, 1 ] ], 3, "PGL(2, 11)", [ "L", [ 2, 11 ], 1 ], 131 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11), ( 2, 3, 5, 9, 6,11,10, 8, 4, 7), 132 ( 1,12)( 2,11)( 3, 6)( 4, 8)( 5, 9)( 7,10) ], 2 ], 133[5, Factorial(12)/2,1,"2",[[11,1]],10, "Alt(12)", ["A",12, 1], "Alt", 5], 134[6, Factorial(12),0,"2",[[11, 1]],12, "Sym(12)", ["A",12, 1], "Sym", 6]]; 135PRIMGRP[13]:= 136[[ 1, 13, 3, "1", [ [ 1, 12 ] ], 1, "C(13)", [ "Z", 13, 1 ], [ ], 1 ], 137[ 2, 26, 2, "1", [ [ 2, 6 ] ], 1, "D(2*13)", [ "Z", 13, 1 ], 138 [ [ [ Z(13)^6 ] ] ], 2 ], 139[ 3, 39, 2, "1", [ [ 3, 4 ] ], 1, "13:3", [ "Z", 13, 1 ], [ [ [ Z(13)^4 ] ] ], 140 3 ], 141[ 4, 52, 2, "1", [ [ 4, 3 ] ], 1, "13:4", [ "Z", 13, 1 ], [ [ [ Z(13)^3 ] ] ], 142 4 ], 143[ 5, 78, 2, "1", [ [ 6, 2 ] ], 1, "13:6", [ "Z", 13, 1 ], [ [ [ Z(13)^2 ] ] ], 144 5 ], 145[ 6, 156, 2, "1", [ [ 12, 1 ] ], 2, "AGL(1, 13)", [ "Z", 13, 1 ], 146 [ [ [ Z(13) ] ] ], 6 ], 147[ 7, 5616, 1, "2", [ [ 12, 1 ] ], 2, "L(3, 3)", [ "L", [ 3, 3 ], 1 ], 148 [ ( 1,10, 4)( 6, 9, 7)( 8,12,13), ( 1, 3, 2)( 4, 9, 5)( 7, 8,12)(10,13,11) ] 149 , 7 ], 150[8, Factorial(13)/2,1,"2",[[12,1]],11, "Alt(13)", ["A",13, 1], "Alt", 8], 151[9, Factorial(13),0,"2",[[12, 1]],13, "Sym(13)", ["A",13, 1], "Sym", 9]]; 152PRIMGRP[14]:= 153[[ 1, 1092, 1, "2", [ [ 13, 1 ] ], 2, "PSL(2, 13)", [ "L", [ 2, 13 ], 1 ], 154 "psl", 1 ], 155[ 2, 2184, 0, "2", [ [ 13, 1 ] ], 3, "PGL(2, 13)", [ "L", [ 2, 13 ], 1 ], 156 "pgl", 2 ], 157[3, Factorial(14)/2,1,"2",[[13,1]],12, "Alt(14)", ["A",14, 1], "Alt", 3], 158[4, Factorial(14),0,"2",[[13, 1]],14, "Sym(14)", ["A",14, 1], "Sym", 4]]; 159PRIMGRP[15]:= 160[[ 1, 2520, 1, "2", [ [ 14, 1 ] ], 2, "A(7)", [ "A", 7, 1 ], 161 [ ( 1, 4, 5)( 2, 8,10)( 3,12,15)( 6,13,11)( 7, 9,14), 162 ( 1, 9, 5,14,13, 2, 6)( 3,15, 4, 7, 8,12,11) ], 3 ], 163[ 2, 360, 1, "2", [ [ 6, 1 ], [ 8, 1 ] ], 1, "A(6)", [ "A", 6, 1 ], 164 [ ( 1,15, 7, 5,12)( 2, 9,13,14, 8)( 3, 6,10,11, 4), 165 ( 1, 4, 5)( 2, 8,10)( 3,12,15)( 6,13,11)( 7, 9,14) ], 1 ], 166[ 3, 720, 0, "2", [ [ 6, 1 ], [ 8, 1 ] ], 1, "S(6)", [ "A", 6, 1 ], 167 [ ( 1,15, 7, 5,12)( 2, 9,13,14, 8)( 3, 6,10,11, 4), 168 ( 1, 7)( 2,11)( 3,12)( 4,13)( 5,10)( 8,14) ], 2 ], 169[ 4, 20160, 1, "2", [ [ 14, 1 ] ], 2, "PSL(4, 2)", [ "A", 8, 1 ], 170 [ ( 1, 9, 5,14,13, 2, 6)( 3,15, 4, 7, 8,12,11), 171 ( 1, 3, 2)( 4, 8,12)( 5,11,14)( 6, 9,15)( 7,10,13) ], 4 ], 172[5, Factorial(15)/2,1,"2",[[14,1]],13, "Alt(15)", ["A",15, 1], "Alt", 5], 173[6, Factorial(15),0,"2",[[14, 1]],15, "Sym(15)", ["A",15, 1], "Sym", 6]]; 174PRIMGRP[16]:= 175[[ 1, 80, 2, "1", [ [ 5, 3 ] ], 1, "2^4:5", [ "Z", 2, 4 ], 176 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 177 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 178 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ], 1 ], 179[ 2, 160, 2, "1", [ [ 5, 3 ] ], 1, "2^4:D(2*5)", [ "Z", 2, 4 ], 180 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 181 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 182 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ], 183 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 184 , [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 185 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 2 ], 186[ 3, 240, 2, "1", [ [ 15, 1 ] ], 2, "AGL(1, 16)", [ "Z", 2, 4 ], 187 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 188 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 189 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ], 3 ], 190[ 4, 288, 2, "1", [ [ 6, 1 ], [ 9, 1 ] ], 1, "(A(4) x A(4)):2", 191 [ "Z", 2, 4 ], 192 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 193 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 194 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 195 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 196 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 197 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 198 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] 199 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 200 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ] ], 4 ], 201[ 5, 320, 2, "1", [ [ 5, 1 ], [ 10, 1 ] ], 1, "(2^4:5).4", [ "Z", 2, 4 ], 202 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 203 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 204 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 205 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] 206 , [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 207 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 5 ], 208[ 6, 480, 2, "1", [ [ 15, 1 ] ], 2, "AGL(1, 16):2", [ "Z", 2, 4 ], 209 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 210 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 211 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 212 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 213 , [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 214 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ] ], 6 ], 215[ 7, 576, 2, "1", [ [ 6, 1 ], [ 9, 1 ] ], 1, "2^4.S(3) x S(3)", 216 [ "Z", 2, 4 ], 217 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 218 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 219 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 220 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 221 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 222 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 223 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] 224 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 225 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 226 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] 227 , [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 228 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ], 8 ], 229[ 8, 576, 2, "1", [ [ 6, 1 ], [ 9, 1 ] ], 1, "2^4.3^2:4", [ "Z", 2, 4 ], 230 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 231 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 232 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 233 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 234 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 235 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 236 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] 237 , [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 238 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ], 7 ], 239[ 9, 960, 2, "1", [ [ 15, 1 ] ], 2, "AGammaL(1, 16)", [ "Z", 2, 4 ], 240 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 241 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 242 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 243 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] 244 , [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 245 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ], 10 ], 246[ 10, 1152, 2, "1", [ [ 6, 1 ], [ 9, 1 ] ], 1, "(S(4) x S(4)):2", 247 [ "Z", 2, 4 ], 248 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 249 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 250 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 251 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 252 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 253 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 254 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] 255 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 256 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 257 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] 258 , [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 259 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ], 12 ], 260[ 11, 322560, 0, "1", [ [ 15, 1 ] ], 3, "2^4.PSL(4, 2)", [ "Z", 2, 4 ], 261 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 262 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 263 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 264 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] 265 , [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 266 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ], 20 ], 267[ 12, 5760, 0, "1", [ [ 15, 1 ] ], 2, "AGammaL(2, 4)", [ "Z", 2, 4 ], 268 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 269 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 270 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 271 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] 272 , [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 273 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ], 16 ], 274[ 13, 1920, 0, "1", [ [ 15, 1 ] ], 2, "ASL(2, 4):2", [ "Z", 2, 4 ], 275 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 276 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 277 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 278 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 279 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 280 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 14 ], 281[ 14, 2880, 0, "1", [ [ 15, 1 ] ], 2, "AGL(2, 4)", [ "Z", 2, 4 ], 282 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 283 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 284 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 285 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 286 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 287 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ] ], 15 ], 288[ 15, 960, 0, "1", [ [ 15, 1 ] ], 2, "ASL(2, 4)", [ "Z", 2, 4 ], 289 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 290 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 291 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 292 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] 293 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 294 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 11 ], 295[ 16, 11520, 0, "1", [ [ 15, 1 ] ], 2, "2^4.S(6)", [ "Z", 2, 4 ], 296 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 297 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 298 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ], 299 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 300 , [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 301 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 18 ], 302[ 17, 5760, 0, "1", [ [ 15, 1 ] ], 2, "2^4.A(6)", [ "Z", 2, 4 ], 303 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 304 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 305 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ], 306 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] 307 , [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 308 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ] ], 17 ], 309[ 18, 1920, 0, "1", [ [ 5, 1 ], [ 10, 1 ] ], 1, "2^4:S(5)", [ "Z", 2, 4 ], 310 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 311 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 312 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 313 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] 314 , [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 315 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ], 13 ], 316[ 19, 960, 0, "1", [ [ 5, 1 ], [ 10, 1 ] ], 1, "2^4:A(5)", [ "Z", 2, 4 ], 317 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 318 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 319 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 320 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] 321 , [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 322 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 9 ], 323[ 20, 40320, 0, "1", [ [ 15, 1 ] ], 3, "2^4.A(7)", [ "Z", 2, 4 ], 324 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 325 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 326 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 327 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] 328 , [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 329 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 19 ], 330[21, Factorial(16)/2,1,"2",[[15,1]],14, "Alt(16)", ["A",16, 1], "Alt", 21], 331[22, Factorial(16),0,"2",[[15, 1]],16, "Sym(16)", ["A",16, 1], "Sym", 22]]; 332PRIMGRP[17]:= 333[[ 1, 17, 3, "1", [ [ 1, 16 ] ], 1, "C(17)", [ "Z", 17, 1 ], [ ], 1 ], 334[ 2, 34, 2, "1", [ [ 2, 8 ] ], 1, "D(2*17)", [ "Z", 17, 1 ], 335 [ [ [ Z(17)^8 ] ] ], 2 ], 336[ 3, 68, 2, "1", [ [ 4, 4 ] ], 1, "17:4", [ "Z", 17, 1 ], [ [ [ Z(17)^4 ] ] ], 337 3 ], 338[ 4, 136, 2, "1", [ [ 8, 2 ] ], 1, "17:8", [ "Z", 17, 1 ], 339 [ [ [ Z(17)^2 ] ] ], 4 ], 340[ 5, 272, 2, "1", [ [ 16, 1 ] ], 2, "AGL(1, 17)", [ "Z", 17, 1 ], 341 [ [ [ Z(17) ] ] ], 5 ], 342[ 6, 4080, 1, "2", [ [ 16, 1 ] ], 3, "L(2, 2^4)", [ "L", [ 2, 16 ], 1 ], 343 [ ( 3,13, 9,10,11, 7,17, 5, 4,12,14, 6, 8,16,15), 344 ( 1, 9, 2)( 3,14, 6)( 4,12,11)( 7,16,10)(13,17,15) ], 6 ], 345[ 7, 8160, 0, "2", [ [ 16, 1 ] ], 3, "L(2, 2^4):2", [ "L", [ 2, 16 ], 1 ], 346 [ ( 3,13, 9,10,11, 7,17, 5, 4,12,14, 6, 8,16,15), 347 ( 1, 9, 2)( 3,14, 6)( 4,12,11)( 7,16,10)(13,17,15), 348 ( 3,12)( 4, 6)( 7,15)(10,17)(11,14)(13,16) ], 7 ], 349[ 8, 16320, 0, "2", [ [ 16, 1 ] ], 3, "L(2, 2^4):4 = PGammaL(2, 2^4)", 350 [ "L", [ 2, 16 ], 1 ], 351 [ ( 3,13, 9,10,11, 7,17, 5, 4,12,14, 6, 8,16,15), ( 1, 9, 2)( 3,14, 6) 352 ( 4,12,11)( 7,16,10)(13,17,15), ( 3,16,12,13)( 4,15, 6, 7)( 5, 8) 353 (10,11,17,14) ], 8 ], 354[9, Factorial(17)/2,1,"2",[[16,1]],15, "Alt(17)", ["A",17, 1], "Alt", 9], 355[10, Factorial(17),0,"2",[[16, 1]],17, "Sym(17)", ["A",17, 1], "Sym", 10]]; 356PRIMGRP[18]:= 357[[ 1, 2448, 1, "2", [ [ 17, 1 ] ], 2, "PSL(2, 17)", [ "L", [ 2, 17 ], 1 ], 358 "psl", 1 ], 359[ 2, 4896, 0, "2", [ [ 17, 1 ] ], 3, "PGL(2, 17)", [ "L", [ 2, 17 ], 1 ], 360 "pgl", 2 ], 361[3, Factorial(18)/2,1,"2",[[17,1]],16, "Alt(18)", ["A",18, 1], "Alt", 3], 362[4, Factorial(18),0,"2",[[17, 1]],18, "Sym(18)", ["A",18, 1], "Sym", 4]]; 363PRIMGRP[19]:= 364[[ 1, 19, 3, "1", [ [ 1, 18 ] ], 1, "C(19)", [ "Z", 19, 1 ], [ ], 1 ], 365[ 2, 38, 2, "1", [ [ 2, 9 ] ], 1, "D(2*19)", [ "Z", 19, 1 ], 366 [ [ [ Z(19)^9 ] ] ], 2 ], 367[ 3, 57, 2, "1", [ [ 3, 6 ] ], 1, "19:3", [ "Z", 19, 1 ], [ [ [ Z(19)^6 ] ] ], 368 3 ], 369[ 4, 114, 2, "1", [ [ 6, 3 ] ], 1, "19:6", [ "Z", 19, 1 ], 370 [ [ [ Z(19)^3 ] ] ], 4 ], 371[ 5, 171, 2, "1", [ [ 9, 2 ] ], 1, "19:9", [ "Z", 19, 1 ], 372 [ [ [ Z(19)^2 ] ] ], 5 ], 373[ 6, 342, 2, "1", [ [ 18, 1 ] ], 2, "AGL(1, 19)", [ "Z", 19, 1 ], 374 [ [ [ Z(19) ] ] ], 6 ], 375[7, Factorial(19)/2,1,"2",[[18,1]],17, "Alt(19)", ["A",19, 1], "Alt", 7], 376[8, Factorial(19),0,"2",[[18, 1]],19, "Sym(19)", ["A",19, 1], "Sym", 8]]; 377PRIMGRP[20]:= 378[[ 1, 3420, 1, "2", [ [ 19, 1 ] ], 2, "PSL(2, 19)", [ "L", [ 2, 19 ], 1 ], 379 "psl", 1 ], 380[ 2, 6840, 0, "2", [ [ 19, 1 ] ], 3, "PGL(2, 19)", [ "L", [ 2, 19 ], 1 ], 381 "pgl", 2 ], 382[3, Factorial(20)/2,1,"2",[[19,1]],18, "Alt(20)", ["A",20, 1], "Alt", 3], 383[4, Factorial(20),0,"2",[[19, 1]],20, "Sym(20)", ["A",20, 1], "Sym", 4]]; 384PRIMGRP[21]:= 385[[ 1, 336, 0, "2", [ [ 4, 1 ], [ 8, 2 ] ], 1, "PGL(2, 7)", 386 [ "L", [ 2, 7 ], 1 ], 387 [ ( 1, 2)( 3, 6)( 8,15)( 9,13)(10,14)(11,12)(16,20)(17,21), 388 ( 1,19)( 2,21)( 3,15)( 4,20)( 5,14)( 6,13)( 7,17)(11,16)(12,18), 389 ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15) ], 1 390 ], 391[ 2, 2520, 1, "2", [ [ 10, 2 ] ], 1, "A(7)", [ "A", 7, 1 ], 392 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 393 ( 4, 6, 5)( 9,11,10)(13,15,14)(16,18,17)(19,20,21) ], 2 ], 394[ 3, 5040, 0, "2", [ [ 10, 2 ] ], 1, "S(7)", [ "A", 7, 1 ], 395 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 396 ( 2, 3)( 4, 5, 6)( 7, 8)( 9,10,11)(13,17,15,16,14,18)(19,21,20) ], 3 ], 397[ 4, 20160, 1, "2", [ [ 20, 1 ] ], 2, "PSL(3, 4)=M(21)", [ "L", [ 3, 4 ], 1 ], 398 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 399 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9) ], 4 ], 400[ 5, 40320, 0, "2", [ [ 20, 1 ] ], 2, "PSigmaL(3, 4)", [ "L", [ 3, 4 ], 1 ], 401 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 402 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 403 ( 2,10)( 3,13)( 4,11)( 5,18)( 8,15)( 9,17)(14,20) ], 5 ], 404[ 6, 60480, 0, "2", [ [ 20, 1 ] ], 2, "PGL(3, 4)", [ "L", [ 3, 4 ], 1 ], 405 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 406 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 407 ( 2,10, 6)( 3,19,13)( 4,20,18)( 5,14,11)( 9,17,21) ], 6 ], 408[ 7, 120960, 0, "2", [ [ 20, 1 ] ], 2, "PGammaL(3, 4)", [ "L", [ 3, 4 ], 1 ], 409 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 410 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 411 ( 2,10)( 3,13)( 4,11)( 5,18)( 8,15)( 9,17)(14,20), 412 ( 2,10, 6)( 3,19,13)( 4,20,18)( 5,14,11)( 9,17,21) ], 7 ], 413[8, Factorial(21)/2,1,"2",[[20,1]],19, "Alt(21)", ["A",21, 1], "Alt", 8], 414[9, Factorial(21),0,"2",[[20, 1]],21, "Sym(21)", ["A",21, 1], "Sym", 9]]; 415PRIMGRP[22]:= 416[[ 1, 443520, 1, "2", [ [ 21, 1 ] ], 3, "M(22)", [ "Spor", "M(22)", 1 ], 417 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 418 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 419 ( 1,22)( 2,10)( 3,14)( 4,17)( 8,15)( 9,11)(13,20)(19,21) ], 1 ], 420[ 2, 887040, 0, "2", [ [ 21, 1 ] ], 3, "M(22):2", [ "Spor", "M(22)", 1 ], 421 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 422 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 423 ( 2,10)( 3,13)( 4,11)( 5,18)( 8,15)( 9,17)(14,20), 424 ( 1,22)( 2,10)( 3,14)( 4,17)( 8,15)( 9,11)(13,20)(19,21) ], 2 ], 425[3, Factorial(22)/2,1,"2",[[21,1]],20, "Alt(22)", ["A",22, 1], "Alt", 3], 426[4, Factorial(22),0,"2",[[21, 1]],22, "Sym(22)", ["A",22, 1], "Sym", 4]]; 427PRIMGRP[23]:= 428[[ 1, 23, 3, "1", [ [ 1, 22 ] ], 1, "C(23)", [ "Z", 23, 1 ], [ ], 1 ], 429[ 2, 46, 2, "1", [ [ 2, 11 ] ], 1, "D(2*23)", [ "Z", 23, 1 ], 430 [ [ [ Z(23)^11 ] ] ], 2 ], 431[ 3, 253, 2, "1", [ [ 11, 2 ] ], 1, "23:11", [ "Z", 23, 1 ], 432 [ [ [ Z(23)^2 ] ] ], 3 ], 433[ 4, 506, 2, "1", [ [ 22, 1 ] ], 2, "AGL(1, 23)", [ "Z", 23, 1 ], 434 [ [ [ Z(23) ] ] ], 4 ], 435[ 5, 10200960, 1, "2", [ [ 22, 1 ] ], 4, "M(23)", [ "Spor", "M(23)", 1 ], 436 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23), 437 ( 2,16, 9, 6, 8)( 3,12,13,18, 4)( 7,17,10,11,22)(14,19,21,20,15) ], 5 ], 438[6, Factorial(23)/2,1,"2",[[22,1]],21, "Alt(23)", ["A",23, 1], "Alt", 6], 439[7, Factorial(23),0,"2",[[22, 1]],23, "Sym(23)", ["A",23, 1], "Sym", 7]]; 440PRIMGRP[24]:= 441[[ 1, 244823040, 1, "2", [ [ 23, 1 ] ], 5, "M(24)", [ "Spor", "M(24)", 1 ], 442 [ ( 1, 7,12,16,19,21, 6)( 2, 8,13,17,20, 5,11)( 3, 9,14,18, 4,10,15), 443 ( 2,14,18,20, 8)( 3, 7,12,13,19)( 4,21,17,15,10)( 5,11,16, 6, 9), 444 ( 1,22)( 2,10)( 3,14)( 4,17)( 8,15)( 9,11)(13,20)(19,21), 445 ( 3,19)( 4,14)( 5,20)( 6,10)( 8,15)(11,18)(17,21)(22,23), 446 ( 2,10)( 3,13)( 4,11)( 5,18)( 8,15)( 9,17)(14,20)(23,24) ], 3 ], 447[ 2, 6072, 1, "2", [ [ 23, 1 ] ], 2, "PSL(2, 23)", [ "L", [ 2, 23 ], 1 ], 448 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23), 449 ( 2, 3, 5, 9,17,10,19,14, 4, 7,13)( 6,11,21,18,12,23,22,20,16, 8,15), 450 ( 1,24)( 2,23)( 3,12)( 4,16)( 5,18)( 6,10)( 7,20)( 8,14)( 9,21)(11,17) 451 (13,22)(15,19) ], 1 ], 452[ 3, 12144, 0, "2", [ [ 23, 1 ] ], 3, "PGL(2, 23)", [ "L", [ 2, 23 ], 1 ], 453 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23), 454 ( 2, 6, 3,11, 5,21, 9,18,17,12,10,23,19,22,14,20, 4,16, 7, 8,13,15), 455 ( 1,24)( 2,23)( 3,12)( 4,16)( 5,18)( 6,10)( 7,20)( 8,14)( 9,21)(11,17) 456 (13,22)(15,19) ], 2 ], 457[4, Factorial(24)/2,1,"2",[[23,1]],22, "Alt(24)", ["A",24, 1], "Alt", 4], 458[5, Factorial(24),0,"2",[[23, 1]],24, "Sym(24)", ["A",24, 1], "Sym", 5]]; 459PRIMGRP[25]:= 460[[ 1, 75, 2, "1", [ [ 3, 8 ] ], 1, "5^2:3", [ "Z", 5, 2 ], 461 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ] ], 1 ], 462[ 2, 150, 2, "1", [ [ 3, 4 ], [ 6, 2 ] ], 1, "5^2:S(3)", [ "Z", 5, 2 ], 463 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 464 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2 ] ] ], 3 ], 465[ 3, 150, 2, "1", [ [ 6, 4 ] ], 1, "5^2:6", [ "Z", 5, 2 ], 466 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 467 [ [ Z(5)^2, 0*Z(5) ], [ 0*Z(5), Z(5)^2 ] ] ], 2 ], 468[ 4, 200, 2, "1", [ [ 8, 3 ] ], 1, "5^2:Q(8)", [ "Z", 5, 2 ], 469 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, 0*Z(5) ] ], 470 [ [ 0*Z(5), Z(5) ], [ Z(5), 0*Z(5) ] ] ], 6 ], 471[ 5, 200, 2, "1", [ [ 4, 4 ], [ 8, 1 ] ], 1, "5^2:D(2*4)", [ "Z", 5, 2 ], 472 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, 0*Z(5) ] ], 473 [ [ Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5)^2 ] ] ], 4 ], 474[ 6, 200, 2, "1", [ [ 8, 3 ] ], 1, "5^2:8", [ "Z", 5, 2 ], 475 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^3, 0*Z(5) ] ] ], 5 ], 476[ 7, 300, 2, "1", [ [ 6, 4 ] ], 1, "5^2:D(2*6)", [ "Z", 5, 2 ], 477 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 478 [ [ Z(5)^2, 0*Z(5) ], [ 0*Z(5), Z(5)^2 ] ], 479 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2 ] ] ], 9 ], 480[ 8, 300, 2, "1", [ [ 12, 2 ] ], 1, "5^2:Q(12)", [ "Z", 5, 2 ], 481 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 482 [ [ 0*Z(5), Z(5)^3 ], [ Z(5)^3, 0*Z(5) ] ] ], 8 ], 483[ 9, 300, 2, "1", [ [ 12, 2 ] ], 1, "5^2:12", [ "Z", 5, 2 ], 484 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 485 [ [ Z(5)^3, 0*Z(5) ], [ 0*Z(5), Z(5)^3 ] ] ], 7 ], 486[ 10, 400, 2, "1", [ [ 16, 1 ], [ 8, 1 ] ], 1, "5^2:8:2", [ "Z", 5, 2 ], 487 [ [ [ Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5)^2 ] ], 488 [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^3, 0*Z(5) ] ] ], 10 ], 489[ 11, 400, 2, "1", [ [ 8, 3 ] ], 1, "5^2:D(2*4):2", [ "Z", 5, 2 ], 490 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^0, 0*Z(5) ] ], 491 [ [ Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5)^2 ] ], 492 [ [ Z(5)^3, 0*Z(5) ], [ 0*Z(5), Z(5)^3 ] ] ], 11 ], 493[ 12, 600, 2, "1", [ [ 24, 1 ] ], 2, "5^2:3:8", [ "Z", 5, 2 ], 494 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 495 [ [ Z(5)^2, Z(5) ], [ Z(5)^3, Z(5)^0 ] ] ], 15 ], 496[ 13, 600, 2, "1", [ [ 12, 2 ] ], 1, "5^2:4 x D(2*3)", [ "Z", 5, 2 ], 497 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 498 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2 ] ], 499 [ [ Z(5)^3, 0*Z(5) ], [ 0*Z(5), Z(5)^3 ] ] ], 12 ], 500[ 14, 600, 2, "1", [ [ 24, 1 ] ], 2, "AGL(1, 25)", [ "Z", 5, 2 ], 501 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 502 [ [ Z(5), Z(5)^2 ], [ Z(5)^0, Z(5)^3 ] ] ], 14 ], 503[ 15, 600, 2, "1", [ [ 24, 1 ] ], 2, "5^2:(Q(8):3)", [ "Z", 5, 2 ], 504 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 505 [ [ 0*Z(5), Z(5) ], [ Z(5), Z(5)^2 ] ] ], 13 ], 506[ 16, 800, 2, "1", [ [ 16, 1 ], [ 8, 1 ] ], 1, "5^2:O+(2, 5)", [ "Z", 5, 2 ], 507 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^3, 0*Z(5) ] ], 508 [ [ Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5) ] ] ], 16 ], 509[ 17, 1200, 2, "1", [ [ 24, 1 ] ], 2, "AGammaL(1, 25)", [ "Z", 5, 2 ], 510 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 511 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2 ] ], 512 [ [ Z(5), Z(5)^2 ], [ Z(5)^0, Z(5)^3 ] ] ], 18 ], 513[ 18, 1200, 2, "1", [ [ 24, 1 ] ], 2, "5^2:((Q(8):3)'2)", [ "Z", 5, 2 ], 514 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 515 [ [ 0*Z(5), Z(5) ], [ Z(5), Z(5)^2 ] ], 516 [ [ Z(5), 0*Z(5) ], [ 0*Z(5), Z(5) ] ] ], 17 ], 517[ 19, 2400, 2, "1", [ [ 24, 1 ] ], 2, "5^2:((Q(8):3)'4)", [ "Z", 5, 2 ], 518 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 519 [ [ 0*Z(5), Z(5) ], [ Z(5), Z(5)^2 ] ], 520 [ [ Z(5)^0, Z(5)^3 ], [ Z(5), Z(5)^2 ] ] ], 19 ], 521[ 20, 3000, 0, "1", [ [ 24, 1 ] ], 2, "ASL(2, 5)", [ "Z", 5, 2 ], 522 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 523 [ [ 0*Z(5), Z(5)^2 ], [ Z(5)^0, Z(5)^2 ] ] ], 20 ], 524[ 21, 6000, 0, "1", [ [ 24, 1 ] ], 2, "ASL(2, 5):2", [ "Z", 5, 2 ], 525 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 526 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2 ] ], 527 [ [ Z(5)^3, Z(5) ], [ Z(5)^0, Z(5)^0 ] ] ], 21 ], 528[ 22, 12000, 0, "1", [ [ 24, 1 ] ], 2, "AGL(2, 5)", [ "Z", 5, 2 ], 529 [ [ [ 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2 ] ], 530 [ [ Z(5)^0, 0*Z(5) ], [ Z(5)^3, Z(5) ] ], 531 [ [ Z(5)^3, Z(5) ], [ Z(5)^0, Z(5)^0 ] ] ], 23 ], 532[ 23, 7200, 0, "4c", [ [ 16, 1 ], [ 8, 1 ] ], 1, "(A(5) x A(5)):2", 533 [ "A", 5, 2 ], 534 [ ( 2, 6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24), 535 ( 1, 6,11,16,21)( 2, 7,12,17,22)( 3, 9,15,18,24, 5, 8,14,20,23, 4,10,13, 536 19,25), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,17,23,14,20,21,12,18,24, 537 15,16,22,13,19,25) ], 22 ], 538[ 24, 14400, 0, "4c", [ [ 16, 1 ], [ 8, 1 ] ], 1, "(A(5) x A(5)):2^2", 539 [ "A", 5, 2 ], 540 [ ( 2, 6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24), 541 ( 1, 6,11,16,21)( 2, 7,12,17,22)( 3, 9,15,18,24, 5, 8,14,20,23, 4,10,13, 542 19,25), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,17,23,14,20,21,12,18,24, 543 15,16,22,13,19,25), ( 4, 5)( 9,10)(14,15)(16,21)(17,22)(18,23)(19,25) 544 (20,24) ], 24 ], 545[ 25, 14400, 0, "4c", [ [ 16, 1 ], [ 8, 1 ] ], 1, "(A(5) x A(5)):4", 546 [ "A", 5, 2 ], 547 [ ( 1, 6,11,16,21)( 2, 7,12,17,22)( 3, 9,15,18,24, 5, 8,14,20,23, 4,10,13, 548 19,25), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,17,23,14,20,21,12,18,24, 549 15,16,22,13,19,25), ( 2, 6)( 3,11)( 4,21, 5,16)( 8,12)( 9,22,10,17) 550 (14,23,15,18)(19,24,25,20) ], 25 ], 551[ 26, 28800, 0, "4c", [ [ 16, 1 ], [ 8, 1 ] ], 1, "(S(5) x S(5)):2", 552 [ "A", 5, 2 ], 553 [ ( 2, 6)( 3,11)( 4,16)( 5,21)( 8,12)( 9,17)(10,22)(14,18)(15,23)(20,24), 554 ( 1, 6,11,16,21)( 2, 7,12,17,22)( 3, 9,15,18,24, 5, 8,14,20,23, 4,10,13, 555 19,25), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,17,23,14,20,21,12,18,24, 556 15,16,22,13,19,25), ( 2, 6)( 3,11)( 4,21, 5,16)( 8,12)( 9,22,10,17) 557 (14,23,15,18)(19,24,25,20) ], 26 ], 558[27, Factorial(25)/2,1,"2",[[24,1]],23, "Alt(25)", ["A",25, 1], "Alt", 27], 559[28, Factorial(25),0,"2",[[24, 1]],25, "Sym(25)", ["A",25, 1], "Sym", 28]]; 560PRIMGRP[26]:= 561[[ 1, 7800, 1, "2", [ [ 25, 1 ] ], 2, "PSL(2, 25)", [ "L", [ 2, 25 ], 1 ], 562 [ ( 2, 6,25)( 3,11,19)( 4,16,13)( 5,21, 7)( 8,10,20)( 9,15,14)(12,24,22) 563 (17,18,23), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15) 564 (16,17,18,19,20)(21,22,23,24,25), 565 ( 2, 4, 5, 3)( 6,16,21,11)( 7,19,25,13)( 8,17,24,15)( 9,20,23,12) 566 (10,18,22,14), ( 1,26)( 2, 5)( 6, 7)( 8,14)( 9,20)(10,15)(11,19) 567 (12,23)(13,16)(17,22)(18,24)(21,25) ], 1 ], 568[ 2, 15600, 0, "2", [ [ 25, 1 ] ], 3, "PGL(2, 25)", [ "L", [ 2, 25 ], 1 ], 569 [ ( 2, 6,25)( 3,11,19)( 4,16,13)( 5,21, 7)( 8,10,20)( 9,15,14)(12,24,22) 570 (17,18,23), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15) 571 (16,17,18,19,20)(21,22,23,24,25), 572 ( 2,23, 4,12, 5, 9, 3,20)( 6,17,16,24,21,15,11, 8)( 7,14,19,10,25,18,13, 573 22), ( 1,26)( 2, 5)( 6, 7)( 8,14)( 9,20)(10,15)(11,19)(12,23)(13,16) 574 (17,22)(18,24)(21,25) ], 3 ], 575[ 3, 15600, 0, "2", [ [ 25, 1 ] ], 2, "PSigmaL(2, 25)", [ "L", [ 2, 25 ], 1 ], 576 [ ( 2, 6,25)( 3,11,19)( 4,16,13)( 5,21, 7)( 8,10,20)( 9,15,14)(12,24,22) 577 (17,18,23), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15) 578 (16,17,18,19,20)(21,22,23,24,25), ( 2, 6)( 3,11)( 4,16)( 5,21)( 8,12) 579 ( 9,17)(10,22)(14,18)(15,23)(20,24), 580 ( 2, 4, 5, 3)( 6,16,21,11)( 7,19,25,13)( 8,17,24,15)( 9,20,23,12) 581 (10,18,22,14), ( 1,26)( 2, 5)( 6, 7)( 8,14)( 9,20)(10,15)(11,19) 582 (12,23)(13,16)(17,22)(18,24)(21,25) ], 2 ], 583[ 4, 15600, 0, "2", [ [ 25, 1 ] ], 3, "PSL(2, 25).2_3", [ "L", [ 2, 25 ], 1 ], 584 [ ( 2, 6,25)( 3,11,19)( 4,16,13)( 5,21, 7)( 8,10,20)( 9,15,14)(12,24,22) 585 (17,18,23), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15) 586 (16,17,18,19,20)(21,22,23,24,25), 587 ( 2,15, 3,24, 5,17, 4, 8)( 6, 9,11,12,21,23,16,20)( 7,18,13,10,25,14,19, 588 22), ( 1,26)( 2, 5)( 6, 7)( 8,14)( 9,20)(10,15)(11,19)(12,23)(13,16) 589 (17,22)(18,24)(21,25) ], 4 ], 590[ 5, 31200, 0, "2", [ [ 25, 1 ] ], 3, "PGammaL(2, 25)", [ "L", [ 2, 25 ], 1 ], 591 [ ( 2, 6,25)( 3,11,19)( 4,16,13)( 5,21, 7)( 8,10,20)( 9,15,14)(12,24,22) 592 (17,18,23), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15) 593 (16,17,18,19,20)(21,22,23,24,25), ( 2, 6)( 3,11)( 4,16)( 5,21)( 8,12) 594 ( 9,17)(10,22)(14,18)(15,23)(20,24), 595 ( 2,23, 4,12, 5, 9, 3,20)( 6,17,16,24,21,15,11, 8)( 7,14,19,10,25,18,13, 596 22), ( 1,26)( 2, 5)( 6, 7)( 8,14)( 9,20)(10,15)(11,19)(12,23)(13,16) 597 (17,22)(18,24)(21,25) ], 5 ], 598[6, Factorial(26)/2,1,"2",[[25,1]],24, "Alt(26)", ["A",26, 1], "Alt", 6], 599[7, Factorial(26),0,"2",[[25, 1]],26, "Sym(26)", ["A",26, 1], "Sym", 7]]; 600PRIMGRP[27]:= 601[[ 1, 324, 2, "1", [ [ 12, 1 ], [ 4, 2 ], [ 6, 1 ] ], 1, "3^3.A(4)", 602 [ "Z", 3, 3 ], 603 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), 604 Z(3) ] ], 605 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3) ], 606 [ Z(3), Z(3), Z(3) ] ] ], 1 ], 607[ 2, 351, 2, "1", [ [ 13, 2 ] ], 1, "3^3:13", [ "Z", 3, 3 ], 608 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 609 [ Z(3)^0, Z(3), Z(3) ] ] ], 2 ], 610[ 3, 648, 2, "1", [ [ 12, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, "3^3(A(4) x 2)", 611 [ "Z", 3, 3 ], 612 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), 613 Z(3) ] ], 614 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3) ], 615 [ Z(3), Z(3), Z(3) ] ], 616 [ [ 0*Z(3), Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3) ], 617 [ 0*Z(3), 0*Z(3), Z(3) ] ] ], 3 ], 618[ 4, 648, 2, "1", [ [ 12, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, "3^3.2.A(4)", 619 [ "Z", 3, 3 ], 620 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, 621 0*Z(3), 0*Z(3) ] ], 622 [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3) ], 623 [ 0*Z(3), 0*Z(3), Z(3) ] ], 624 [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3) ], 625 [ 0*Z(3), 0*Z(3), Z(3)^0 ] ] ], 5 ], 626[ 5, 648, 2, "1", [ [ 12, 1 ], [ 4, 2 ], [ 6, 1 ] ], 1, "3^3.S(4)", 627 [ "Z", 3, 3 ], 628 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), 629 Z(3) ] ], 630 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 631 [ Z(3), Z(3), Z(3) ] ] ], 4 ], 632[ 6, 702, 2, "1", [ [ 26, 1 ] ], 2, "AGL(1, 27)", [ "Z", 3, 3 ], 633 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 634 [ Z(3)^0, Z(3), Z(3) ] ], 635 [ [ Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3) ], 636 [ 0*Z(3), 0*Z(3), Z(3) ] ] ], 6 ], 637[ 7, 1053, 2, "1", [ [ 13, 2 ] ], 1, "3^3.13.3", [ "Z", 3, 3 ], 638 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 639 [ Z(3)^0, Z(3), Z(3) ] ], 640 [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0 ], 641 [ 0*Z(3), Z(3), Z(3) ] ] ], 7 ], 642[ 8, 1296, 2, "1", [ [ 12, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, "3^3(S(4) x 2)", 643 [ "Z", 3, 3 ], 644 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3)^0 ], [ 0*Z(3), Z(3), 645 0*Z(3) ] ], 646 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), Z(3)^0 ], 647 [ Z(3), 0*Z(3), 0*Z(3) ] ], 648 [ [ 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0, Z(3) ], 649 [ Z(3)^0, 0*Z(3), 0*Z(3) ] ] ], 8 ], 650[ 9, 2106, 2, "1", [ [ 26, 1 ] ], 2, "AGammaL(1, 27)", [ "Z", 3, 3 ], 651 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 652 [ Z(3)^0, Z(3), Z(3) ] ], 653 [ [ Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, Z(3)^0 ], 654 [ Z(3)^0, Z(3), 0*Z(3) ] ] ], 9 ], 655[ 10, 151632, 0, "1", [ [ 26, 1 ] ], 2, "ASL(3, 3)", [ "Z", 3, 3 ], 656 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 657 [ Z(3), Z(3), Z(3) ] ], 658 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 659 [ Z(3)^0, Z(3), Z(3) ] ] ], 12 ], 660[ 11, 303264, 0, "1", [ [ 26, 1 ] ], 2, "AGL(3, 3)", [ "Z", 3, 3 ], 661 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 662 [ Z(3)^0, Z(3), Z(3) ] ], 663 [ [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0 ], 664 [ Z(3), Z(3), Z(3) ] ] ], 13 ], 665[ 12, 25920, 1, "2", [ [ 16, 1 ], [ 10, 1 ] ], 1, "PSp(4, 3)", 666 [ "B", [ 2, 3 ], 1 ], 667 [ ( 2, 4, 6, 8,10)( 3, 5, 7, 9,11)(13,20,24,18,15)(14,21,16,22,17) 668 (19,23,25,26,27), ( 1,12,13,14,15)( 3,19,18,17,16)( 5,23,22,21,20) 669 ( 6,27,24, 7,10)( 8,26,11,25, 9) ], 10 ], 670[ 13, 51840, 0, "2", [ [ 16, 1 ], [ 10, 1 ] ], 1, "PSp(4, 3):2", 671 [ "B", [ 2, 3 ], 1 ], 672 [ ( 2, 4, 6, 8,10)( 3, 5, 7, 9,11)(13,20,24,18,15)(14,21,16,22,17) 673 (19,23,25,26,27), ( 1,12,13,14,15)( 3,19,18,17,16)( 5,23,22,21,20) 674 ( 6,27,24, 7,10)( 8,26,11,25, 9), ( 8,10)( 9,11)(14,15)(16,17)(20,21) 675 (26,27) ], 11 ], 676[14, Factorial(27)/2,1,"2",[[26,1]],25, "Alt(27)", ["A",27, 1], "Alt", 14], 677[15, Factorial(27),0,"2",[[26, 1]],27, "Sym(27)", ["A",27, 1], "Sym", 15]]; 678PRIMGRP[28]:= 679[[ 1, 336, 0, "2", [ [ 12, 1 ], [ 3, 1 ], [ 6, 2 ] ], 1, "PGL(2, 7)", 680 [ "L", [ 2, 7 ], 1 ], 681 [ ( 1, 8,14,19,23,26, 6)( 2, 9,15,20,24, 5,12)( 3,10,16,21, 4,11,17) 682 ( 7,13,18,22,25,27,28), ( 1,28)( 2,22)( 3,18)( 4,27)( 5,25)( 6,13) 683 ( 8,21)( 9,17)(10,26)(11,24)(15,20)(16,19), 684 ( 1, 6)( 2, 5)( 3, 4)( 8,26)( 9,24)(10,21)(11,17)(13,28)(14,23)(15,20) 685 (18,27)(22,25) ], 1 ], 686[ 2, 504, 1, "2", [ [ 9, 3 ] ], 1, "PSL(2, 8)", [ "L", [ 2, 8 ], 1 ], 687 [ ( 2, 8,15)( 3,22,10)( 4,28,20)( 5,21,26)( 6,11,25)( 7,19,13)( 9,27,12) 688 (14,16,18)(17,23,24), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14) 689 (15,16,17,18,19,20,21)(22,23,24,25,26,27,28) ], 2 ], 690[ 3, 1512, 0, "2", [ [ 27, 1 ] ], 2, "PGammaL(2, 8)", [ "L", [ 2, 8 ], 1 ], 691 [ ( 2, 8,15)( 3,22,10)( 4,28,20)( 5,21,26)( 6,11,25)( 7,19,13)( 9,27,12) 692 (14,16,18)(17,23,24), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14) 693 (15,16,17,18,19,20,21)(22,23,24,25,26,27,28), 694 ( 2, 3, 5)( 4, 7, 6)( 8,22,21)( 9,24,18)(10,26,15)(11,28,19)(12,23,16) 695 (13,25,20)(14,27,17) ], 3 ], 696[ 4, 6048, 1, "2", [ [ 27, 1 ] ], 2, "PSU(3, 3)", [ "2A", [ 2, 3 ], 1 ], 697 [ ( 1, 4, 2, 3)( 5,21, 9,15)( 6,19,10,22)( 7,16,11,25)( 8,26,12,20) 698 (14,27,17,24), ( 1, 7, 9)( 2, 8,10)( 3, 5,11)( 4, 6,12)(13,18,14) 699 (15,23,22)(16,28,26)(19,24,25)(20,27,21) ], 4 ], 700[ 5, 12096, 0, "2", [ [ 27, 1 ] ], 2, "PGammaU(3, 3)", [ "2A", [ 2, 3 ], 1 ], 701 [ ( 1, 4, 2, 3)( 5,21, 9,15)( 6,19,10,22)( 7,16,11,25)( 8,26,12,20) 702 (14,27,17,24), ( 1, 7, 9)( 2, 8,10)( 3, 5,11)( 4, 6,12)(13,18,14) 703 (15,23,22)(16,28,26)(19,24,25)(20,27,21), 704 ( 1, 3)( 2, 4)( 5, 7)( 6, 8)( 9,11)(10,12)(15,16)(19,20)(21,25)(22,26) 705 (23,28)(24,27) ], 6 ], 706[ 6, 1451520, 1, "2", [ [ 27, 1 ] ], 2, "PSp(6, 2)", [ "B", [ 3, 2 ], 1 ], 707 [ ( 2, 4, 6, 8,10)( 3, 5, 7, 9,11)(13,20,24,18,15)(14,21,16,22,17) 708 (19,23,25,26,27), ( 1,12,13,14,15)( 3,19,18,17,16)( 5,23,22,21,20) 709 ( 6,27,24, 7,10)( 8,26,11,25, 9), ( 8,10)( 9,11)(14,15)(16,17)(20,21) 710 (26,27), ( 1,28)(10,11)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22) 711 (18,21)(19,20) ], 12 ], 712[ 7, 20160, 1, "2", [ [ 12, 1 ], [ 15, 1 ] ], 1, "A(8)", [ "A", 8, 1 ], 713 [ ( 1, 8,14,19,23,26, 6)( 2, 9,15,20,24, 5,12)( 3,10,16,21, 4,11,17) 714 ( 7,13,18,22,25,27,28), ( 5, 7, 6)(11,13,12)(16,18,17)(20,22,21) 715 (23,25,24)(26,27,28) ], 8 ], 716[ 8, 40320, 0, "2", [ [ 12, 1 ], [ 15, 1 ] ], 1, "S(8)", [ "A", 8, 1 ], 717 [ ( 1, 8,14,19,23,26, 6)( 2, 9,15,20,24, 5,12)( 3,10,16,21, 4,11,17) 718 ( 7,13,18,22,25,27,28), ( 3, 4)( 5, 6, 7)( 9,10)(11,12,13)(14,15) 719 (16,17,18)(20,24,22,23,21,25)(26,28,27) ], 10 ], 720[ 9, 9828, 1, "2", [ [ 27, 1 ] ], 2, "PSL(2, 27)", [ "L", [ 2, 27 ], 1 ], 721 [ ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18)(19,20,21) 722 (22,23,24)(25,26,27), ( 2, 4,10,26, 9,25, 6,16,17,11,20,18,14) 723 ( 3, 7,19,15, 5,13, 8,22,24,21,12,23,27), 724 ( 1,28)( 2, 3)( 4,27)( 5,11)( 6,22)( 7,14)( 8,16)( 9,21)(10,23)(12,26) 725 (13,17)(15,20)(18,19)(24,25) ], 5 ], 726[ 10, 19656, 0, "2", [ [ 27, 1 ] ], 3, "PGL(2, 27)", [ "L", [ 2, 27 ], 1 ], 727 [ ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18)(19,20,21) 728 (22,23,24)(25,26,27), ( 2, 4,10,26, 9,25, 6,16,17,11,20,18,14) 729 ( 3, 7,19,15, 5,13, 8,22,24,21,12,23,27), 730 ( 2, 3)( 4, 7)( 5, 9)( 6, 8)(10,19)(11,21)(12,20)(13,25)(14,27)(15,26) 731 (16,22)(17,24)(18,23), ( 1,28)( 2, 3)( 4,27)( 5,11)( 6,22)( 7,14) 732 ( 8,16)( 9,21)(10,23)(12,26)(13,17)(15,20)(18,19)(24,25) ], 7 ], 733[ 11, 29484, 0, "2", [ [ 27, 1 ] ], 2, "PSL(2, 27):3", [ "L", [ 2, 27 ], 1 ], 734 [ ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18)(19,20,21) 735 (22,23,24)(25,26,27), ( 2, 4,10,26, 9,25, 6,16,17,11,20,18,14) 736 ( 3, 7,19,15, 5,13, 8,22,24,21,12,23,27), 737 ( 4,11,26)( 5,12,27)( 6,10,25)( 7,21,15)( 8,19,13)( 9,20,14)(16,18,17) 738 (22,23,24), ( 1,28)( 2, 3)( 4,27)( 5,11)( 6,22)( 7,14)( 8,16)( 9,21) 739 (10,23)(12,26)(13,17)(15,20)(18,19)(24,25) ], 9 ], 740[ 12, 58968, 0, "2", [ [ 27, 1 ] ], 3, "PGammaL(2, 27)", 741 [ "L", [ 2, 27 ], 1 ], 742 [ ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18)(19,20,21) 743 (22,23,24)(25,26,27), ( 2, 4,10,26, 9,25, 6,16,17,11,20,18,14) 744 ( 3, 7,19,15, 5,13, 8,22,24,21,12,23,27), 745 ( 2, 3)( 4,15,11, 7,26,21)( 5,14,12, 9,27,20)( 6,13,10, 8,25,19) 746 (16,24,18,22,17,23), ( 1,28)( 2, 3)( 4,27)( 5,11)( 6,22)( 7,14)( 8,16) 747 ( 9,21)(10,23)(12,26)(13,17)(15,20)(18,19)(24,25) ], 11 ], 748[13, Factorial(28)/2,1,"2",[[27,1]],26, "Alt(28)", ["A",28, 1], "Alt", 13], 749[14, Factorial(28),0,"2",[[27, 1]],28, "Sym(28)", ["A",28, 1], "Sym", 14]]; 750PRIMGRP[29]:= 751[[ 1, 29, 3, "1", [ [ 1, 28 ] ], 1, "C(29)", [ "Z", 29, 1 ], [ ], 1 ], 752[ 2, 58, 2, "1", [ [ 2, 14 ] ], 1, "D(2*29)", [ "Z", 29, 1 ], 753 [ [ [ Z(29)^14 ] ] ], 2 ], 754[ 3, 116, 2, "1", [ [ 4, 7 ] ], 1, "29:4", [ "Z", 29, 1 ], 755 [ [ [ Z(29)^7 ] ] ], 3 ], 756[ 4, 203, 2, "1", [ [ 7, 4 ] ], 1, "29:7", [ "Z", 29, 1 ], 757 [ [ [ Z(29)^4 ] ] ], 4 ], 758[ 5, 406, 2, "1", [ [ 14, 2 ] ], 1, "29:14", [ "Z", 29, 1 ], 759 [ [ [ Z(29)^2 ] ] ], 5 ], 760[ 6, 812, 2, "1", [ [ 28, 1 ] ], 2, "AGL(1, 29)", [ "Z", 29, 1 ], 761 [ [ [ Z(29) ] ] ], 6 ], 762[7, Factorial(29)/2,1,"2",[[28,1]],27, "Alt(29)", ["A",29, 1], "Alt", 7], 763[8, Factorial(29),0,"2",[[28, 1]],29, "Sym(29)", ["A",29, 1], "Sym", 8]]; 764PRIMGRP[30]:= 765[[ 1, 12180, 1, "2", [ [ 29, 1 ] ], 2, "PSL(2, 29)", [ "L", [ 2, 29 ], 1 ], 766 "psl", 1 ], 767[ 2, 24360, 0, "2", [ [ 29, 1 ] ], 3, "PGL(2, 29)", [ "L", [ 2, 29 ], 1 ], 768 "pgl", 2 ], 769[3, Factorial(30)/2,1,"2",[[29,1]],28, "Alt(30)", ["A",30, 1], "Alt", 3], 770[4, Factorial(30),0,"2",[[29, 1]],30, "Sym(30)", ["A",30, 1], "Sym", 4]]; 771PRIMGRP[31]:= 772[[ 1, 31, 3, "1", [ [ 1, 30 ] ], 1, "C(31)", [ "Z", 31, 1 ], [ ], 1 ], 773[ 2, 62, 2, "1", [ [ 2, 15 ] ], 1, "D(2*31)", [ "Z", 31, 1 ], 774 [ [ [ Z(31)^15 ] ] ], 2 ], 775[ 3, 93, 2, "1", [ [ 3, 10 ] ], 1, "31:3", [ "Z", 31, 1 ], 776 [ [ [ Z(31)^10 ] ] ], 3 ], 777[ 4, 155, 2, "1", [ [ 5, 6 ] ], 1, "31:5", [ "Z", 31, 1 ], 778 [ [ [ Z(31)^6 ] ] ], 4 ], 779[ 5, 186, 2, "1", [ [ 6, 5 ] ], 1, "31:6", [ "Z", 31, 1 ], 780 [ [ [ Z(31)^5 ] ] ], 5 ], 781[ 6, 310, 2, "1", [ [ 10, 3 ] ], 1, "31:10", [ "Z", 31, 1 ], 782 [ [ [ Z(31)^3 ] ] ], 6 ], 783[ 7, 465, 2, "1", [ [ 15, 2 ] ], 1, "31:15", [ "Z", 31, 1 ], 784 [ [ [ Z(31)^2 ] ] ], 7 ], 785[ 8, 930, 2, "1", [ [ 30, 1 ] ], 2, "AGL(1, 31)", [ "Z", 31, 1 ], 786 [ [ [ Z(31) ] ] ], 8 ], 787[ 9, 372000, 1, "2", [ [ 30, 1 ] ], 2, "L(3, 5)", [ "L", [ 3, 5 ], 1 ], 788 [ ( 4,11)( 5,28,12,16)( 6,22,13, 8)( 7,23,19,30)( 9,17,18,29)(10,26,14,31) 789 (15,27)(20,25,21,24), 790 ( 1,14,22, 5, 4,31,19,23, 7,24, 6, 9,28,27,26,20,17,30,21, 8,12,11, 3, 2 791 )(10,29,25,18,16,15) ], 9 ], 792[ 10, 9999360, 1, "2", [ [ 30, 1 ] ], 2, "L(5, 2)", [ "L", [ 5, 2 ], 1 ], 793 [ ( 1,19)( 6,12)( 9,24)(11,18)(15,16)(17,26)(23,27)(28,30), 794 ( 1, 5, 4, 3, 2)( 6,31,30, 8, 7)( 9,29,28,23,10)(11,22,21,20,19) 795 (12,18,26,14,13)(15,25,24,27,17) ], 10 ], 796[11, Factorial(31)/2,1,"2",[[30,1]],29, "Alt(31)", ["A",31, 1], "Alt", 11], 797[12, Factorial(31),0,"2",[[30, 1]],31, "Sym(31)", ["A",31, 1], "Sym", 12]]; 798PRIMGRP[32]:= 799[[ 1, 992, 2, "1", [ [ 31, 1 ] ], 2, "AGL(1, 32)", [ "Z", 2, 5 ], 800 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 801 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 802 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 803 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 804 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ], 1 ], 805[ 2, 4960, 2, "1", [ [ 31, 1 ] ], 2, "AGammaL(1, 32)", [ "Z", 2, 5 ], 806 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 807 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 808 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 809 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 810 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 811 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 812 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 813 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 814 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 815 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ], 2 ], 816[ 3, 319979520, 0, "1", [ [ 31, 1 ] ], 3, "ASL(5, 2)", [ "Z", 2, 5 ], 817 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 818 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 819 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 820 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 821 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 822 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 823 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 824 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 825 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 826 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 827 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 828 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 829 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 830 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 831 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ], 5 ], 832[ 4, 14880, 1, "2", [ [ 31, 1 ] ], 2, "PSL(2, 31)", [ "L", [ 2, 31 ], 1 ], 833 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24, 834 25,26,27,28,29,30,31), ( 2,10,20,17,21,26, 9,11,29, 5, 6,15, 3,19, 8) 835 ( 4,28,27,18,30,14,25,31,23,13,16,12, 7,24,22), 836 ( 1,32)( 2,31)( 3,16)( 4,11)( 5,24)( 6, 7)( 8,23)( 9,28)(10,25)(12,15) 837 (13,19)(14,20)(17,30)(18,21)(22,29)(26,27) ], 3 ], 838[ 5, 29760, 0, "2", [ [ 31, 1 ] ], 3, "PGL(2, 31)", [ "L", [ 2, 31 ], 1 ], 839 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24, 840 25,26,27,28,29,30,31), 841 ( 2, 4,10,28,20,27,17,18,21,30,26,14, 9,25,11,31,29,23, 5,13, 6,16,15, 842 12, 3, 7,19,24, 8,22), ( 1,32)( 2,31)( 3,16)( 4,11)( 5,24)( 6, 7) 843 ( 8,23)( 9,28)(10,25)(12,15)(13,19)(14,20)(17,30)(18,21)(22,29) 844 (26,27) ], 4 ], 845[6, Factorial(32)/2,1,"2",[[31,1]],30, "Alt(32)", ["A",32, 1], "Alt", 6], 846[7, Factorial(32),0,"2",[[31, 1]],32, "Sym(32)", ["A",32, 1], "Sym", 7]]; 847PRIMGRP[33]:= 848[[ 1, 32736, 1, "2", [ [ 32, 1 ] ], 3, "PSL(2, 32)", [ "L", [ 2, 32 ], 1 ], 849 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24, 850 25,26,27,28,29,30,31), ( 1,32)( 2,19)( 3, 6)( 4,30)( 5,11)( 7,28) 851 ( 8,23)( 9,21)(10,17)(12,20)(13,24)(14,15)(16,25)(18,31)(22,26)(27,29) 852 , ( 2,31)( 3,30)( 4,29)( 5,28)( 6,27)( 7,26)( 8,25)( 9,24)(10,23) 853 (11,22)(12,21)(13,20)(14,19)(15,18)(16,17)(32,33) ], 1 ], 854[ 2, 163680, 0, "2", [ [ 32, 1 ] ], 3, "PGammaL(2, 32)", 855 [ "L", [ 2, 32 ], 1 ], 856 [ ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24, 857 25,26,27,28,29,30,31), ( 2,17, 9, 5, 3)( 4,18,25,13, 7) 858 ( 6,19,10,21,11)( 8,20,26,29,15)(12,22,27,14,23)(16,24,28,30,31), 859 ( 1,32)( 2,19)( 3, 6)( 4,30)( 5,11)( 7,28)( 8,23)( 9,21)(10,17)(12,20) 860 (13,24)(14,15)(16,25)(18,31)(22,26)(27,29), 861 ( 2,31)( 3,30)( 4,29)( 5,28)( 6,27)( 7,26)( 8,25)( 9,24)(10,23)(11,22) 862 (12,21)(13,20)(14,19)(15,18)(16,17)(32,33) ], 2 ], 863[3, Factorial(33)/2,1,"2",[[32,1]],31, "Alt(33)", ["A",33, 1], "Alt", 3], 864[4, Factorial(33),0,"2",[[32, 1]],33, "Sym(33)", ["A",33, 1], "Sym", 4]]; 865PRIMGRP[34]:= 866[[1, Factorial(34)/2,1,"2",[[33,1]],32, "Alt(34)", ["A",34, 1], "Alt", 1], 867[2, Factorial(34),0,"2",[[33, 1]],34, "Sym(34)", ["A",34, 1], "Sym", 2]]; 868PRIMGRP[35]:= 869[[ 1, 20160, 1, "2", [ [ 16, 1 ], [ 18, 1 ] ], 1, "A(8)", [ "A", 8, 1 ], 870 [ ( 1, 2, 4, 8, 3, 6,12)( 5,10,15,19,25,29,22)( 7,14,18,24,28,34, 9) 871 (11,16,20,27,23,13,17)(21,26,32,35,30,31,33), 872 ( 1, 3, 7)( 2, 6, 5)( 9,10,12)(11,14,13)(16,18,21)(17,22,23)(19,26,24) 873 (25,31,28)(27,33,29)(30,35,32) ], 3 ], 874[ 2, 40320, 0, "2", [ [ 16, 1 ], [ 18, 1 ] ], 1, "S(8)", [ "A", 8, 1 ], 875 [ ( 1, 2, 4, 8, 3, 6,12)( 5,10,15,19,25,29,22)( 7,14,18,24,28,34, 9) 876 (11,16,20,27,23,13,17)(21,26,32,35,30,31,33), 877 ( 1, 3)( 5, 6)( 9,12)(11,14)(17,23)(18,21)(19,24)(25,31)(27,29)(32,35) ] 878 , 4 ], 879[ 3, 2520, 1, "2", [ [ 12, 1 ], [ 4, 1 ], [ 18, 1 ] ], 1, "A(7)", 880 [ "A", 7, 1 ], 881 [ ( 1, 2, 4, 8, 3, 6,12)( 5,10,15,19,25,29,22)( 7,14,18,24,28,34, 9) 882 (11,16,20,27,23,13,17)(21,26,32,35,30,31,33), 883 ( 2, 5,11)( 3, 7,15)( 4, 9,10)( 6,13,14)(16,21,23)(17,18,22)(19,26,20) 884 (25,30,32)(27,33,34)(28,31,35) ], 1 ], 885[ 4, 5040, 0, "2", [ [ 12, 1 ], [ 4, 1 ], [ 18, 1 ] ], 1, "S(7)", 886 [ "A", 7, 1 ], 887 [ ( 1, 2, 4, 8, 3, 6,12)( 5,10,15,19,25,29,22)( 7,14,18,24,28,34, 9) 888 (11,16,20,27,23,13,17)(21,26,32,35,30,31,33), 889 ( 2, 5)( 3, 7)( 9,10)(13,14)(16,21)(17,22)(19,26)(27,33)(28,31)(30,32) ] 890 , 2 ], 891[5, Factorial(35)/2,1,"2",[[34,1]],33, "Alt(35)", ["A",35, 1], "Alt", 5], 892[6, Factorial(35),0,"2",[[34, 1]],35, "Sym(35)", ["A",35, 1], "Sym", 6]]; 893PRIMGRP[36]:= 894[[ 1, 504, 1, "2", [ [ 14, 1 ], [ 7, 3 ] ], 1, "PSL(2, 8)", 895 [ "L", [ 2, 8 ], 1 ], 896 [ ( 1, 3)( 2, 7)( 4,13)( 5,12)( 6,18)( 8, 9)(10,14)(11,26)(16,23)(17,31) 897 (20,32)(21,22)(24,27)(25,29)(33,34)(35,36), 898 ( 1, 2, 6,17,19, 8, 4)( 3,10,23,12,28,25,13)( 5,15, 9,22,20,14,18) 899 ( 7,16,31,30,29,21,32)(11,26,34,35,27,33,24), 900 ( 1, 4)( 2, 8)( 3,11)( 5,14)( 6,19)( 7,21)( 9,22)(10,24)(12,27)(13,26) 901 (15,20)(16,29)(23,33)(25,34)(28,35)(30,31) ], 1 ], 902[ 2, 1512, 0, "2", [ [ 14, 1 ], [ 21, 1 ] ], 1, "PGammaL(2, 8)", 903 [ "L", [ 2, 8 ], 1 ], 904 [ ( 1, 3)( 2, 7)( 4,13)( 5,12)( 6,18)( 8, 9)(10,14)(11,26)(16,23)(17,31) 905 (20,32)(21,22)(24,27)(25,29)(33,34)(35,36), 906 ( 1, 2, 6,17,19, 8, 4)( 3,10,23,12,28,25,13)( 5,15, 9,22,20,14,18) 907 ( 7,16,31,30,29,21,32)(11,26,34,35,27,33,24), 908 ( 1, 4)( 2, 8)( 3,11)( 5,14)( 6,19)( 7,21)( 9,22)(10,24)(12,27)(13,26) 909 (15,20)(16,29)(23,33)(25,34)(28,35)(30,31), 910 ( 1, 5,16)( 2, 9,21)( 3,12,23)( 4,14,29)( 6,20,31)( 7, 8,22)(10,25,13) 911 (11,27,33)(15,30,19)(17,18,32)(24,34,26) ], 5 ], 912[ 3, 720, 0, "2", [ [ 5, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1, "M(10)", 913 [ "A", 6, 1 ], 914 [ ( 1, 2, 8)( 3,11,16)( 4,14, 7)( 5,15,32)( 6,19,10)( 9,26,36)(12,25,24) 915 (13,20,30)(17,23,18)(21,22,35)(27,29,34)(28,31,33), 916 ( 1, 4)( 2, 7)( 3,12)( 5,16)( 6,21)( 8,23)( 9,10)(11,27)(13,17)(14,30) 917 (18,20)(19,28)(22,31)(25,29)(32,34)(33,36), 918 ( 1, 6,17,10)( 2, 5,18,12)( 3, 9,16,21)( 4, 7,13,20)( 8,25,23,32) 919 (14,31,30,33)(15,34,24,29)(19,27)(22,35,36,26), 920 ( 1, 5,17,12)( 2,10,18, 6)( 3,13,16, 4)( 7,21,20, 9)( 8,24,23,15)(11,28) 921 (14,26,30,35)(19,27)(22,31,36,33)(25,34,32,29) ], 3 ], 922[ 4, 720, 0, "2", [ [ 5, 1 ], [ 10, 3 ] ], 1, "PGL(2, 9)", [ "A", 6, 1 ], 923 [ ( 1, 2, 8)( 3,11,16)( 4,14, 7)( 5,15,32)( 6,19,10)( 9,26,36)(12,25,24) 924 (13,20,30)(17,23,18)(21,22,35)(27,29,34)(28,31,33), 925 ( 1, 4)( 2, 7)( 3,12)( 5,16)( 6,21)( 8,23)( 9,10)(11,27)(13,17)(14,30) 926 (18,20)(19,28)(22,31)(25,29)(32,34)(33,36), 927 ( 1, 3, 5,13,17,16,12, 4)( 2, 9,10, 7,18,21, 6,20)( 8,22,24,31,23,36,15, 928 33)(11,19,28,27)(14,29,26,25,30,34,35,32) ], 2 ], 929[ 5, 1440, 0, "2", [ [ 5, 1 ], [ 20, 1 ], [ 10, 1 ] ], 1, "PGammaL(2, 9)", 930 [ "A", 6, 1 ], 931 [ ( 1, 2, 8)( 3,11,16)( 4,14, 7)( 5,15,32)( 6,19,10)( 9,26,36)(12,25,24) 932 (13,20,30)(17,23,18)(21,22,35)(27,29,34)(28,31,33), 933 ( 1, 4)( 2, 7)( 3,12)( 5,16)( 6,21)( 8,23)( 9,10)(11,27)(13,17)(14,30) 934 (18,20)(19,28)(22,31)(25,29)(32,34)(33,36), 935 ( 1, 3, 5,13,17,16,12, 4)( 2, 9,10, 7,18,21, 6,20)( 8,22,24,31,23,36,15, 936 33)(11,19,28,27)(14,29,26,25,30,34,35,32), 937 ( 1, 7)( 2, 4)( 3, 6)( 5, 9)( 8,14)(10,16)(11,19)(12,21)(13,18)(15,26) 938 (17,20)(22,25)(23,30)(24,35)(27,28)(29,31)(32,36)(33,34) ], 4 ], 939[ 6, 6048, 1, "2", [ [ 7, 2 ], [ 21, 1 ] ], 1, "PSU(3, 3)", 940 [ "2A", [ 2, 3 ], 1 ], 941 [ ( 1, 2,22,15)( 3,17,26,11, 4,20,25, 8)( 5,18,36,10, 6,19,35, 9) 942 ( 7,24,12,23)(13,16,14,21)(27,31,32,28,33,29,30,34), 943 ( 4, 5, 6)( 7, 8, 9)(10,12,11)(13,15,14)(16,17,18)(19,21,20)(22,23,24) 944 (25,27,29)(26,28,30)(31,35,34)(32,36,33), 945 ( 5, 6)( 8, 9)(10,11)(13,14)(17,18)(19,20)(23,24)(27,29)(28,30)(31,33) 946 (32,34)(35,36), ( 3, 5, 4, 6)( 7,12)( 8,10,11, 9)(13,14)(16,21) 947 (17,19,20,18)(23,24)(25,35,26,36)(27,32,33,30)(28,31,34,29) ], 6 ], 948[ 7, 12096, 0, "2", [ [ 14, 1 ], [ 21, 1 ] ], 1, "PGammaU(3, 3)", 949 [ "2A", [ 2, 3 ], 1 ], 950 [ ( 1, 2,22,15)( 3,17,26,11, 4,20,25, 8)( 5,18,36,10, 6,19,35, 9) 951 ( 7,24,12,23)(13,16,14,21)(27,31,32,28,33,29,30,34), 952 ( 4, 5, 6)( 7, 8, 9)(10,12,11)(13,15,14)(16,17,18)(19,21,20)(22,23,24) 953 (25,27,29)(26,28,30)(31,35,34)(32,36,33), 954 ( 5, 6)( 8, 9)(10,11)(13,14)(17,18)(19,20)(23,24)(27,29)(28,30)(31,33) 955 (32,34)(35,36), ( 3, 5, 4, 6)( 7,12)( 8,10,11, 9)(13,14)(16,21) 956 (17,19,20,18)(23,24)(25,35,26,36)(27,32,33,30)(28,31,34,29), 957 ( 2,15)( 3, 8)( 4,11)( 5, 9)( 6,10)( 7,13)(12,14)(16,23)(17,25)(18,35) 958 (19,36)(20,26)(21,24)(27,32)(28,34)(30,33) ], 8 ], 959[ 8, 25920, 1, "2", [ [ 15, 1 ], [ 20, 1 ] ], 1, "PSp(4, 3)", 960 [ "B", [ 2, 3 ], 1 ], 961 [ ( 2, 3, 5,10,18)( 4, 8,15,26,30)( 6,12,17,25,22)( 7,13,23,24,29) 962 ( 9,14,19,27,31)(11,20,16,28,34)(21,32,35,33,36), 963 ( 1, 2, 4, 8,16)( 3, 6, 7,14,25)( 5,11,21,32,35)( 9,17,18,28,29) 964 (10,19,30,22,33)(12,13,20,24,31)(15,27,34,36,23) ], 11 ], 965[ 9, 51840, 0, "2", [ [ 15, 1 ], [ 20, 1 ] ], 1, "PSp(4, 3):2", 966 [ "B", [ 2, 3 ], 1 ], 967 [ ( 2, 3, 5,10,18)( 4, 8,15,26,30)( 6,12,17,25,22)( 7,13,23,24,29) 968 ( 9,14,19,27,31)(11,20,16,28,34)(21,32,35,33,36), 969 ( 1, 2, 4, 8,16)( 3, 6, 7,14,25)( 5,11,21,32,35)( 9,17,18,28,29) 970 (10,19,30,22,33)(12,13,20,24,31)(15,27,34,36,23), 971 ( 3, 7)( 4, 9)(12,22)(13,24)(14,15)(16,17)(18,29)(19,31)(25,34)(32,35) ] 972 , 13 ], 973[ 10, 1451520, 1, "2", [ [ 35, 1 ] ], 2, "PSp(6, 2)", [ "B", [ 3, 2 ], 1 ], 974 [ ( 1, 2, 4, 8, 3, 6,12)( 5,10,15,19,25,29,22)( 7,14,18,24,28,34, 9) 975 (11,16,20,27,23,13,17)(21,26,32,35,30,31,33), 976 ( 1, 3)( 5, 6)( 9,12)(11,14)(17,23)(18,21)(19,24)(25,31)(27,29)(32,35), 977 ( 1,36)( 4,23)( 6,20)( 9,16)(10,21)(13,19)(14,26)(25,34)(27,30)(32,33) ] 978 , 20 ], 979[ 11, 181440, 1, "2", [ [ 14, 1 ], [ 21, 1 ] ], 1, "A(9)", [ "A", 9, 1 ], 980 [ ( 1, 2, 3, 5, 7,10,13)( 4, 6, 8,11,15,22,31)( 9,12,16,24,17,25,34) 981 (14,20,18,19,28,33,23)(21,30,26,27,35,36,32), 982 (10,14,21)(13,18,26)(15,23,32)(19,27,31)(20,29,30)(24,33,36)(28,35,34) ] 983 , 14 ], 984[ 12, 362880, 0, "2", [ [ 14, 1 ], [ 21, 1 ] ], 1, "S(9)", [ "A", 9, 1 ], 985 [ ( 1, 2, 3, 5, 7,10,13)( 4, 6, 8,11,15,22,31)( 9,12,16,24,17,25,34) 986 (14,20,18,19,28,33,23)(21,30,26,27,35,36,32), 987 ( 2, 4)( 6, 9)(10,14,21)(12,17)(13,19,26,31,18,27)(15,23,32)(20,29,30) 988 (22,25)(24,33,36)(28,35,34) ], 16 ], 989[ 13, 259200, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(A(6) x A(6)):2", 990 [ "A", 6, 2 ], 991 [ ( 1, 3, 8)( 2, 6,11,18,26, 7, 5,10,16,24, 4, 9,15,22,30)(12,17,23,32,13) 992 (20,25,31,35,21)(27,29,33,34,36), 993 ( 1, 2, 5)( 3, 7,12,19,27, 6, 8,13,20,28, 4, 9,14,21,29)(10,11,17,25,33) 994 (16,23,31,34,22)(26,30,32,35,36), ( 2, 3)( 5, 8)( 6, 7)(10,13)(11,12) 995 (14,15)(16,20)(18,19)(21,22)(23,25)(24,28)(26,27)(29,30)(32,33) 996 (34,35) ], 15 ], 997[ 14, 518400, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(A(6) x A(6)):2^2", 998 [ "A", 6, 2 ], 999 [ ( 1, 3, 8)( 2, 6,11,18,26, 7, 5,10,16,24, 4, 9,15,22,30)(12,17,23,32,13) 1000 (20,25,31,35,21)(27,29,33,34,36), 1001 ( 1, 2, 5)( 3, 7,12,19,27, 6, 8,13,20,28, 4, 9,14,21,29)(10,11,17,25,33) 1002 (16,23,31,34,22)(26,30,32,35,36), ( 2, 3)( 5, 8)( 6, 7)(10,13)(11,12) 1003 (14,15)(16,20)(18,19)(21,22)(23,25)(24,28)(26,27)(29,30)(32,33)(34,35) 1004 , ( 1, 4)( 2, 3)( 5, 6)( 7, 8)(10,15)(13,14)(18,22)(19,21)(24,26) 1005 (27,28) ], 18 ], 1006[ 15, 518400, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(A(6) x A(6)):4", 1007 [ "A", 6, 2 ], 1008 [ ( 1, 3, 8)( 2, 6,11,18,26, 7, 5,10,16,24, 4, 9,15,22,30)(12,17,23,32,13) 1009 (20,25,31,35,21)(27,29,33,34,36), 1010 ( 1, 2, 5)( 3, 7,12,19,27, 6, 8,13,20,28, 4, 9,14,21,29)(10,11,17,25,33) 1011 (16,23,31,34,22)(26,30,32,35,36), 1012 ( 1, 3, 4, 2)( 5, 8, 6, 7)(10,13,15,14)(11,12)(16,20)(18,19,22,21) 1013 (23,25)(24,28,26,27)(29,30)(32,33)(34,35) ], 17 ], 1014[ 16, 1036800, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(S(6) x S(6)):2", 1015 [ "A", 6, 2 ], 1016 [ ( 1, 3, 8)( 2, 6,11,18,26, 7, 5,10,16,24, 4, 9,15,22,30)(12,17,23,32,13) 1017 (20,25,31,35,21)(27,29,33,34,36), 1018 ( 1, 2, 5)( 3, 7,12,19,27, 6, 8,13,20,28, 4, 9,14,21,29)(10,11,17,25,33) 1019 (16,23,31,34,22)(26,30,32,35,36), ( 2, 3)( 5, 8)( 6, 7)(10,13)(11,12) 1020 (14,15)(16,20)(18,19)(21,22)(23,25)(24,28)(26,27)(29,30)(32,33)(34,35) 1021 , ( 1, 3, 4, 2)( 5, 8, 6, 7)(10,13,15,14)(11,12)(16,20)(18,19,22,21) 1022 (23,25)(24,28,26,27)(29,30)(32,33)(34,35) ], 19 ], 1023[ 17, 7200, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(A(5) x A(5)):2", 1024 [ "A", 5, 2 ], 1025 [ ( 2, 3)( 4, 5)( 7,10)( 8, 9)(11,12)(14,18)(15,23)(16,17)(19,21)(20,22) 1026 (24,26)(25,28)(27,34)(31,32)(35,36), 1027 ( 1, 3)( 2, 4, 7,15,17,33,32, 9,14,22)( 5, 6,12,21,34)( 8,19,13,29,28, 1028 23,11,24,26,36)(10,18)(20,27,25,35,30), 1029 ( 1, 2)( 3, 5,10,23,16,33,31, 8,18,20)( 4, 6,11,19,27)( 7,14) 1030 ( 9,21,13,29,25,15,12,26,24,35)(22,34,28,36,30) ], 7 ], 1031[ 18, 14400, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(A(5) x A(5)).4", 1032 [ "A", 5, 2 ], 1033 [ ( 2, 3)( 4, 5)( 7,10)( 8, 9)(11,12)(14,18)(15,23)(16,17)(19,21)(20,22) 1034 (24,26)(25,28)(27,34)(31,32)(35,36), 1035 ( 1, 3)( 2, 4, 7,15,17,33,32, 9,14,22)( 5, 6,12,21,34)( 8,19,13,29,28, 1036 23,11,24,26,36)(10,18)(20,27,25,35,30), 1037 ( 1, 2)( 3, 5,10,23,16,33,31, 8,18,20)( 4, 6,11,19,27)( 7,14) 1038 ( 9,21,13,29,25,15,12,26,24,35)(22,34,28,36,30), 1039 ( 4, 9,22,15)( 5, 8,20,23)( 6,13,30,29)( 7,17,14,32)(10,16,18,31) 1040 (11,25,36,21)(12,28,35,19)(24,34,26,27) ], 10 ], 1041[ 19, 14400, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "((A(5) x A(5)):2)2", 1042 [ "A", 5, 2 ], 1043 [ ( 1, 3)( 2, 4, 7,15,17,33,32, 9,14,22)( 5, 6,12,21,34)( 8,19,13,29,28,23, 1044 11,24,26,36)(10,18)(20,27,25,35,30), 1045 ( 1, 2)( 3, 5,10,23,16,33,31, 8,18,20)( 4, 6,11,19,27)( 7,14) 1046 ( 9,21,13,29,25,15,12,26,24,35)(22,34,28,36,30), 1047 ( 2, 3)( 4, 8, 9,20,22,23,15, 5)( 6,11,13,25,30,36,29,21) 1048 ( 7,16,17,18,14,31,32,10)(12,27,28,24,35,34,19,26) ], 9 ], 1049[ 20, 28800, 0, "4c", [ [ 25, 1 ], [ 10, 1 ] ], 1, "(S(5) x S(5)):2", 1050 [ "A", 5, 2 ], 1051 [ ( 2, 3)( 4, 5)( 7,10)( 8, 9)(11,12)(14,18)(15,23)(16,17)(19,21)(20,22) 1052 (24,26)(25,28)(27,34)(31,32)(35,36), 1053 ( 1, 3)( 2, 4, 7,15,17,33,32, 9,14,22)( 5, 6,12,21,34)( 8,19,13,29,28, 1054 23,11,24,26,36)(10,18)(20,27,25,35,30), 1055 ( 1, 2)( 3, 5,10,23,16,33,31, 8,18,20)( 4, 6,11,19,27)( 7,14) 1056 ( 9,21,13,29,25,15,12,26,24,35)(22,34,28,36,30), 1057 ( 2, 3)( 4, 8, 9,20,22,23,15, 5)( 6,11,13,25,30,36,29,21) 1058 ( 7,16,17,18,14,31,32,10)(12,27,28,24,35,34,19,26) ], 12 ], 1059[21, Factorial(36)/2,1,"2",[[35,1]],34, "Alt(36)", ["A",36, 1], "Alt", 21], 1060[22, Factorial(36),0,"2",[[35, 1]],36, "Sym(36)", ["A",36, 1], "Sym", 22]]; 1061PRIMGRP[37]:= 1062[[ 1, 37, 3, "1", [ [ 1, 36 ] ], 1, "C(37)", [ "Z", 37, 1 ], [ ], 1 ], 1063[ 2, 74, 2, "1", [ [ 2, 18 ] ], 1, "D(2*37)", [ "Z", 37, 1 ], 1064 [ [ [ Z(37)^18 ] ] ], 2 ], 1065[ 3, 111, 2, "1", [ [ 3, 12 ] ], 1, "37:3", [ "Z", 37, 1 ], 1066 [ [ [ Z(37)^12 ] ] ], 3 ], 1067[ 4, 148, 2, "1", [ [ 4, 9 ] ], 1, "37:4", [ "Z", 37, 1 ], 1068 [ [ [ Z(37)^9 ] ] ], 4 ], 1069[ 5, 222, 2, "1", [ [ 6, 6 ] ], 1, "37:6", [ "Z", 37, 1 ], 1070 [ [ [ Z(37)^6 ] ] ], 5 ], 1071[ 6, 333, 2, "1", [ [ 9, 4 ] ], 1, "37:9", [ "Z", 37, 1 ], 1072 [ [ [ Z(37)^4 ] ] ], 6 ], 1073[ 7, 444, 2, "1", [ [ 12, 3 ] ], 1, "37:12", [ "Z", 37, 1 ], 1074 [ [ [ Z(37)^3 ] ] ], 7 ], 1075[ 8, 666, 2, "1", [ [ 18, 2 ] ], 1, "37:18", [ "Z", 37, 1 ], 1076 [ [ [ Z(37)^2 ] ] ], 8 ], 1077[ 9, 1332, 2, "1", [ [ 36, 1 ] ], 2, "AGL(1, 37)", [ "Z", 37, 1 ], 1078 [ [ [ Z(37) ] ] ], 9 ], 1079[10, Factorial(37)/2,1,"2",[[36,1]],35, "Alt(37)", ["A",37, 1], "Alt", 10], 1080[11, Factorial(37),0,"2",[[36, 1]],37, "Sym(37)", ["A",37, 1], "Sym", 11]]; 1081PRIMGRP[38]:= 1082[[ 1, 25308, 1, "2", [ [ 37, 1 ] ], 2, "PSL(2, 37)", [ "L", [ 2, 37 ], 1 ], 1083 "psl", 1 ], 1084[ 2, 50616, 0, "2", [ [ 37, 1 ] ], 3, "PGL(2, 37)", [ "L", [ 2, 37 ], 1 ], 1085 "pgl", 2 ], 1086[3, Factorial(38)/2,1,"2",[[37,1]],36, "Alt(38)", ["A",38, 1], "Alt", 3], 1087[4, Factorial(38),0,"2",[[37, 1]],38, "Sym(38)", ["A",38, 1], "Sym", 4]]; 1088PRIMGRP[39]:= 1089[[1, Factorial(39)/2,1,"2",[[38,1]],37, "Alt(39)", ["A",39, 1], "Alt", 1], 1090[2, Factorial(39),0,"2",[[38, 1]],39, "Sym(39)", ["A",39, 1], "Sym", 2]]; 1091PRIMGRP[40]:= 1092[[ 1, 25920, 1, "2", [ [ 12, 1 ], [ 27, 1 ] ], 1, "PSp(4, 3)", 1093 [ "B", [ 2, 3 ], 1 ], 1094 [ ( 1, 2, 5,10,19)( 3, 4, 7,15,28)( 6,12,21,13,25)( 8,16,29,38,14) 1095 ( 9,18,31,20,27)(11,22,33,37,34)(17,30,23,35,32)(24,26,39,40,36), 1096 ( 1, 3, 8,16, 7)( 2, 6,13,19,17)( 4, 9, 5,10,20)(11,23,36,26,35) 1097 (12,21,31,25,18)(14,27,29,22,34)(15,28,30,38,32)(24,37,40,39,33) ], 1 1098 ], 1099[ 2, 51840, 0, "2", [ [ 12, 1 ], [ 27, 1 ] ], 1, "PSp(4, 3):2", 1100 [ "B", [ 2, 3 ], 1 ], 1101 [ ( 1, 2, 5,10,19)( 3, 4, 7,15,28)( 6,12,21,13,25)( 8,16,29,38,14) 1102 ( 9,18,31,20,27)(11,22,33,37,34)(17,30,23,35,32)(24,26,39,40,36), 1103 ( 1, 3, 8,16, 7)( 2, 6,13,19,17)( 4, 9, 5,10,20)(11,23,36,26,35) 1104 (12,21,31,25,18)(14,27,29,22,34)(15,28,30,38,32)(24,37,40,39,33), 1105 ( 1, 4)( 2, 7)( 3, 9)( 5,11)( 6,14)( 8,17)(10,21)(12,24)(13,26)(15,27) 1106 (16,28)(18,32)(19,22)(20,23)(25,38)(29,30)(31,37)(33,36)(34,39) 1107 (35,40) ], 3 ], 1108[ 3, 25920, 1, "2", [ [ 12, 1 ], [ 27, 1 ] ], 1, "PSp(4, 3)", 1109 [ "B", [ 2, 3 ], 1 ], 1110 [ ( 1, 2, 4, 7,10)( 3, 6,12,21,20)( 5, 9,16,27,38)( 8,14,24,32,34) 1111 (11,19,23,31,17)(13,22,30,40,37)(15,25,28,18,29)(26,33,39,36,35), 1112 ( 1, 3, 4, 7,12)( 2, 5,10,18,22)( 6, 9,16,27,38)( 8,15,26,36,37) 1113 (11,20,30,40,34)(13,23,19,29,17)(14,25,28,21,31)(24,33,39,32,35) ], 2 1114 ], 1115[ 4, 51840, 0, "2", [ [ 12, 1 ], [ 27, 1 ] ], 1, "PSp(4, 3):2", 1116 [ "B", [ 2, 3 ], 1 ], 1117 [ ( 1, 2, 4, 7,10)( 3, 6,12,21,20)( 5, 9,16,27,38)( 8,14,24,32,34) 1118 (11,19,23,31,17)(13,22,30,40,37)(15,25,28,18,29)(26,33,39,36,35), 1119 ( 1, 3, 4, 7,12)( 2, 5,10,18,22)( 6, 9,16,27,38)( 8,15,26,36,37) 1120 (11,20,30,40,34)(13,23,19,29,17)(14,25,28,21,31)(24,33,39,32,35), 1121 ( 4, 8)( 5,11)( 6,13)( 9,17)(10,14)(12,15)(16,28)(19,22)(20,23)(24,34) 1122 (25,35)(26,37)(27,39)(29,31)(38,40) ], 4 ], 1123[ 5, 6065280, 1, "2", [ [ 39, 1 ] ], 2, "PSL(4, 3)", [ "L", [ 4, 3 ], 1 ], 1124 [ ( 1,17,25,21,36,12,34,22, 7,18,13, 9, 8,29,27,11,30,37,40, 5) 1125 ( 2,31, 6,19,39,35,24,16,20,28,38,26,23, 3,10,32, 4,33,15,14), 1126 ( 1, 4, 9, 6, 3, 7, 2,11,12,10, 8,13, 5)(15,21,27,34,18,33,20,29,30,28, 1127 38,31,23)(16,19,40,24,22,25,17,35,37,39,26,36,32) ], 5 ], 1128[ 6, 12130560, 0, "2", [ [ 39, 1 ] ], 2, "PGL(4, 3)", [ "L", [ 4, 3 ], 1 ], 1129 [ ( 1,17,25,21,36,12,34,22, 7,18,13, 9, 8,29,27,11,30,37,40, 5) 1130 ( 2,31, 6,19,39,35,24,16,20,28,38,26,23, 3,10,32, 4,33,15,14), 1131 ( 1, 4, 9, 6, 3, 7, 2,11,12,10, 8,13, 5)(15,21,27,34,18,33,20,29,30,28, 1132 38,31,23)(16,19,40,24,22,25,17,35,37,39,26,36,32), 1133 ( 1,31,17, 6,25,19,21,39,36,35,12,24,34,16,22,20, 7,28,18,38,13,26, 9, 1134 23, 8, 3,29,10,27,32,11, 4,30,33,37,15,40,14, 5, 2) ], 6 ], 1135[7, Factorial(40)/2,1,"2",[[39,1]],38, "Alt(40)", ["A",40, 1], "Alt", 7], 1136[8, Factorial(40),0,"2",[[39, 1]],40, "Sym(40)", ["A",40, 1], "Sym", 8]]; 1137PRIMGRP[41]:= 1138[[ 1, 41, 3, "1", [ [ 1, 40 ] ], 1, "C(41)", [ "Z", 41, 1 ], [ ], 1 ], 1139[ 2, 82, 2, "1", [ [ 2, 20 ] ], 1, "D(2*41)", [ "Z", 41, 1 ], 1140 [ [ [ Z(41)^20 ] ] ], 2 ], 1141[ 3, 164, 2, "1", [ [ 4, 10 ] ], 1, "41:4", [ "Z", 41, 1 ], 1142 [ [ [ Z(41)^10 ] ] ], 3 ], 1143[ 4, 205, 2, "1", [ [ 5, 8 ] ], 1, "41:5", [ "Z", 41, 1 ], 1144 [ [ [ Z(41)^8 ] ] ], 4 ], 1145[ 5, 328, 2, "1", [ [ 8, 5 ] ], 1, "41:8", [ "Z", 41, 1 ], 1146 [ [ [ Z(41)^5 ] ] ], 5 ], 1147[ 6, 410, 2, "1", [ [ 10, 4 ] ], 1, "41:10", [ "Z", 41, 1 ], 1148 [ [ [ Z(41)^4 ] ] ], 6 ], 1149[ 7, 820, 2, "1", [ [ 20, 2 ] ], 1, "41:20", [ "Z", 41, 1 ], 1150 [ [ [ Z(41)^2 ] ] ], 7 ], 1151[ 8, 1640, 2, "1", [ [ 40, 1 ] ], 2, "AGL(1, 41)", [ "Z", 41, 1 ], 1152 [ [ [ Z(41) ] ] ], 8 ], 1153[9, Factorial(41)/2,1,"2",[[40,1]],39, "Alt(41)", ["A",41, 1], "Alt", 9], 1154[10, Factorial(41),0,"2",[[40, 1]],41, "Sym(41)", ["A",41, 1], "Sym", 10]]; 1155PRIMGRP[42]:= 1156[[ 1, 34440, 1, "2", [ [ 41, 1 ] ], 2, "PSL(2, 41)", [ "L", [ 2, 41 ], 1 ], 1157 "psl", 1 ], 1158[ 2, 68880, 0, "2", [ [ 41, 1 ] ], 3, "PGL(2, 41)", [ "L", [ 2, 41 ], 1 ], 1159 "pgl", 2 ], 1160[3, Factorial(42)/2,1,"2",[[41,1]],40, "Alt(42)", ["A",42, 1], "Alt", 3], 1161[4, Factorial(42),0,"2",[[41, 1]],42, "Sym(42)", ["A",42, 1], "Sym", 4]]; 1162PRIMGRP[43]:= 1163[[ 1, 43, 3, "1", [ [ 1, 42 ] ], 1, "C(43)", [ "Z", 43, 1 ], [ ], 1 ], 1164[ 2, 86, 2, "1", [ [ 2, 21 ] ], 1, "D(2*43)", [ "Z", 43, 1 ], 1165 [ [ [ Z(43)^21 ] ] ], 2 ], 1166[ 3, 129, 2, "1", [ [ 3, 14 ] ], 1, "43:3", [ "Z", 43, 1 ], 1167 [ [ [ Z(43)^14 ] ] ], 3 ], 1168[ 4, 258, 2, "1", [ [ 6, 7 ] ], 1, "43:6", [ "Z", 43, 1 ], 1169 [ [ [ Z(43)^7 ] ] ], 4 ], 1170[ 5, 301, 2, "1", [ [ 7, 6 ] ], 1, "43:7", [ "Z", 43, 1 ], 1171 [ [ [ Z(43)^6 ] ] ], 5 ], 1172[ 6, 602, 2, "1", [ [ 14, 3 ] ], 1, "43:14", [ "Z", 43, 1 ], 1173 [ [ [ Z(43)^3 ] ] ], 6 ], 1174[ 7, 903, 2, "1", [ [ 21, 2 ] ], 1, "43:21", [ "Z", 43, 1 ], 1175 [ [ [ Z(43)^2 ] ] ], 7 ], 1176[ 8, 1806, 2, "1", [ [ 42, 1 ] ], 2, "AGL(1, 43)", [ "Z", 43, 1 ], 1177 [ [ [ Z(43) ] ] ], 8 ], 1178[9, Factorial(43)/2,1,"2",[[42,1]],41, "Alt(43)", ["A",43, 1], "Alt", 9], 1179[10, Factorial(43),0,"2",[[42, 1]],43, "Sym(43)", ["A",43, 1], "Sym", 10]]; 1180PRIMGRP[44]:= 1181[[ 1, 39732, 1, "2", [ [ 43, 1 ] ], 2, "PSL(2, 43)", [ "L", [ 2, 43 ], 1 ], 1182 "psl", 1 ], 1183[ 2, 79464, 0, "2", [ [ 43, 1 ] ], 3, "PGL(2, 43)", [ "L", [ 2, 43 ], 1 ], 1184 "pgl", 2 ], 1185[3, Factorial(44)/2,1,"2",[[43,1]],42, "Alt(44)", ["A",44, 1], "Alt", 3], 1186[4, Factorial(44),0,"2",[[43, 1]],44, "Sym(44)", ["A",44, 1], "Sym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ammaL(2, 9)", 1209 [ "A", 6, 1 ], 1210 [ ( 1, 2, 7)( 3,11,27)( 4,14,31)( 5,18,32)( 6,20,36)( 8,24,39)( 9,25,28) 1211 (10,26,42)(12,15,16)(13,30,40)(17,19,21)(22,35,44)(23,33,29)(34,43,37) 1212 (38,45,41), ( 1, 3, 5, 6, 7,22,13,23)( 2, 8, 9,10)( 4,15,16,17,14,21, 1213 19,12)(11,28,29,38,44,25,20,37)(18,33,34,24,40,36,41,39) 1214 (26,43,35,32,42,45,27,30), ( 1, 4)( 3,12)( 5,19)( 6,21)( 7,14)( 8,10) 1215 (11,20)(13,16)(15,23)(17,22)(18,33)(24,41)(25,28)(26,43)(27,32)(29,44) 1216 (30,35)(34,39)(36,40)(42,45), ( 3, 6)( 5,13)( 8,10)(11,20)(12,21) 1217 (15,17)(16,19)(18,30)(22,23)(24,26)(27,36)(29,44)(32,40)(33,35)(34,45) 1218 (37,38)(39,42)(41,43) ], 3 ], 1219[ 4, 25920, 1, "2", [ [ 12, 1 ], [ 32, 1 ] ], 1, "PSp(4, 3)", 1220 [ "B", [ 2, 3 ], 1 ], 1221 [ ( 1, 3, 6,12,19)( 2, 5,10,18,11)( 4, 8,15,22,29)( 7,14,20,28,40) 1222 ( 9,16,24,33,13)(17,25,34,36,31)(21,30,41,45,32)(23,35,42,37,39) 1223 (26,27,38,44,43), ( 1, 2, 4, 7,13)( 3, 5, 9,14, 8)( 6,11,15,21,29) 1224 (10,17,24,31,19)(12,18,26,37,43)(16,23,34,35,33)(20,27,38,44,40) 1225 (22,32,41,45,30)(25,36,42,28,39) ], 4 ], 1226[ 5, 51840, 0, "2", [ [ 12, 1 ], [ 32, 1 ] ], 1, "PSp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actorial(45)/2,1,"2",[[44,1]],43, "Alt(45)", ["A",45, 1], "Alt", 8], 1249[9, Factorial(45),0,"2",[[44, 1]],45, "Sym(45)", ["A",45, 1], "Sym", 9]]; 1250PRIMGRP[46]:= 1251[[1, Factorial(46)/2,1,"2",[[45,1]],44, "Alt(46)", ["A",46, 1], "Alt", 1], 1252[2, Factorial(46),0,"2",[[45, 1]],46, "Sym(46)", ["A",46, 1], "Sym", 2]]; 1253PRIMGRP[47]:= 1254[[ 1, 47, 3, "1", [ [ 1, 46 ] ], 1, "C(47)", [ "Z", 47, 1 ], [ ], 1 ], 1255[ 2, 94, 2, "1", [ [ 2, 23 ] ], 1, "D(2*47)", [ "Z", 47, 1 ], 1256 [ [ [ Z(47)^23 ] ] ], 2 ], 1257[ 3, 1081, 2, "1", [ [ 23, 2 ] ], 1, "47:23", [ "Z", 47, 1 ], 1258 [ [ [ Z(47)^2 ] ] ], 3 ], 1259[ 4, 2162, 2, "1", [ [ 46, 1 ] ], 2, "AGL(1, 47)", [ "Z", 47, 1 ], 1260 [ [ [ Z(47) ] ] ], 4 ], 1261[5, Factorial(47)/2,1,"2",[[46,1]],45, "Alt(47)", ["A",47, 1], "Alt", 5], 1262[6, Factorial(47),0,"2",[[46, 1]],47, "Sym(47)", ["A",47, 1], "Sym", 6]]; 1263PRIMGRP[48]:= 1264[[ 1, 51888, 1, "2", [ [ 47, 1 ] ], 2, "PSL(2, 47)", [ "L", [ 2, 47 ], 1 ], 1265 "psl", 1 ], 1266[ 2, 103776, 0, "2", [ [ 47, 1 ] ], 3, "PGL(2, 47)", [ "L", [ 2, 47 ], 1 ], 1267 "pgl", 2 ], 1268[3, Factorial(48)/2,1,"2",[[47,1]],46, "Alt(48)", ["A",48, 1], "Alt", 3], 1269[4, Factorial(48),0,"2",[[47, 1]],48, "Sym(48)", ["A",48, 1], "Sym", 4]]; 1270PRIMGRP[49]:= 1271[[ 1, 196, 2, "1", [ [ 4, 12 ] ], 1, "7^2:4", [ "Z", 7, 2 ], 1272 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ] ], 1 ], 1273[ 2, 294, 2, "1", [ [ 3, 6 ], [ 6, 5 ] ], 1, "7^2:S(3)", [ "Z", 7, 2 ], 1274 [ [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^3 ] ], 1275 [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7)^3 ] ] ], 2 ], 1276[ 3, 392, 2, "1", [ [ 4, 6 ], [ 8, 3 ] ], 1, "7^2:D(2*4)", [ "Z", 7, 2 ], 1277 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1278 [ [ Z(7)^0, 0*Z(7) ], [ 0*Z(7), Z(7)^3 ] ] ], 5 ], 1279[ 4, 392, 2, "1", [ [ 8, 6 ] ], 1, "7^2:Q(8)", [ "Z", 7, 2 ], 1280 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1281 [ [ Z(7)^4, Z(7)^5 ], [ Z(7)^5, Z(7) ] ] ], 4 ], 1282[ 5, 392, 2, "1", [ [ 8, 6 ] ], 1, "7^2:8", [ "Z", 7, 2 ], 1283 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ] ], 3 ], 1284[ 6, 588, 2, "1", [ [ 12, 4 ] ], 1, "7^2:Q(12)", [ "Z", 7, 2 ], 1285 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1286 [ [ Z(7)^4, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 6 ], 1287[ 7, 588, 2, "1", [ [ 12, 1 ], [ 6, 6 ] ], 1, "7^2:D(2*6)", [ "Z", 7, 2 ], 1288 [ [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^3 ] ], 1289 [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7)^3 ] ], 1290 [ [ Z(7)^3, 0*Z(7) ], [ 0*Z(7), Z(7)^3 ] ] ], 8 ], 1291[ 8, 588, 2, "1", [ [ 12, 4 ] ], 1, "7^2:12", [ "Z", 7, 2 ], 1292 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1293 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 7 ], 1294[ 9, 784, 2, "1", [ [ 8, 6 ] ], 1, "7^2:D(2*8)", [ "Z", 7, 2 ], 1295 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1296 [ [ Z(7)^0, 0*Z(7) ], [ Z(7), Z(7)^3 ] ] ], 11 ], 1297[ 10, 784, 2, "1", [ [ 16, 3 ] ], 1, "7^2:16", [ "Z", 7, 2 ], 1298 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^3 ] ] ], 10 ], 1299[ 11, 784, 2, "1", [ [ 16, 3 ] ], 1, "7^2:Q(16)", [ "Z", 7, 2 ], 1300 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1301 [ [ Z(7)^3, Z(7)^0 ], [ Z(7)^5, Z(7)^0 ] ] ], 9 ], 1302[ 12, 882, 2, "1", [ [ 6, 2 ], [ 18, 1 ], [ 9, 2 ] ], 1, "7^2:3 x D(2*3)", 1303 [ "Z", 7, 2 ], 1304 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, 0*Z(7) ] ], [ [ Z(7)^0, 0*Z(7) ], 1305 [ 0*Z(7), Z(7)^2 ] ] ], 12 ], 1306[ 13, 1176, 2, "1", [ [ 12, 4 ] ], 1, "7^2:3:D(2*4)", [ "Z", 7, 2 ], 1307 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, 0*Z(7) ] ], 1308 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^4 ] ], 1309 [ [ Z(7)^0, 0*Z(7) ], [ 0*Z(7), Z(7)^3 ] ] ], 17 ], 1310[ 14, 1176, 2, "1", [ [ 12, 2 ], [ 24, 1 ] ], 1, "7^2:3 x D(2*4)", 1311 [ "Z", 7, 2 ], 1312 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], [ [ Z(7)^0, 0*Z(7) ], 1313 [ 0*Z(7), Z(7)^3 ] ], [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 1314 18 ], 1315[ 15, 1176, 2, "1", [ [ 24, 2 ] ], 1, "7^2:24", [ "Z", 7, 2 ], 1316 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1317 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 13 ], 1318[ 16, 1176, 2, "1", [ [ 24, 2 ] ], 1, "7^2:3 x Q(8)", [ "Z", 7, 2 ], 1319 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1320 [ [ Z(7)^4, Z(7)^5 ], [ Z(7)^5, Z(7) ] ], 1321 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 14 ], 1322[ 17, 1176, 2, "1", [ [ 24, 1 ], [ 8, 3 ] ], 1, "7^2:Q(8):3", [ "Z", 7, 2 ], 1323 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1324 [ [ Z(7)^5, Z(7)^4 ], [ Z(7)^4, Z(7)^2 ] ], 1325 [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^5, Z(7)^4 ] ] ], 16 ], 1326[ 18, 1176, 2, "1", [ [ 24, 2 ] ], 1, "7^2:Q(8):3", [ "Z", 7, 2 ], 1327 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1328 [ [ Z(7)^4, Z(7)^5 ], [ Z(7)^5, Z(7) ] ], 1329 [ [ Z(7)^4, Z(7)^0 ], [ 0*Z(7), Z(7)^2 ] ] ], 15 ], 1330[ 19, 1568, 2, "1", [ [ 16, 3 ] ], 1, "7^2:Q(16):2", [ "Z", 7, 2 ], 1331 [ [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^3 ] ], 1332 [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^3 ] ] ], 19 ], 1333[ 20, 1764, 2, "1", [ [ 12, 1 ], [ 36, 1 ] ], 1, "7^2:3 x Q(12)", 1334 [ "Z", 7, 2 ], 1335 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], [ [ Z(7)^0, 0*Z(7) ], 1336 [ 0*Z(7), Z(7)^2 ] ] ], 20 ], 1337[ 21, 1764, 2, "1", [ [ 12, 1 ], [ 18, 2 ] ], 1, "7^2:3 x D(2*6)", 1338 [ "Z", 7, 2 ], 1339 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, 0*Z(7) ] ], [ [ Z(7)^3, 0*Z(7) ], 1340 [ 0*Z(7), Z(7)^3 ] ], [ [ Z(7)^0, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 1341 21 ], 1342[ 22, 2352, 2, "1", [ [ 48, 1 ] ], 2, "7^2:(3 x Q(16))", [ "Z", 7, 2 ], 1343 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1344 [ [ Z(7)^3, Z(7)^0 ], [ Z(7)^5, Z(7)^0 ] ], 1345 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 23 ], 1346[ 23, 2352, 2, "1", [ [ 48, 1 ] ], 2, "AGL(1, 49)=7^2:48", [ "Z", 7, 2 ], 1347 [ [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1348 [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^3 ] ] ], 24 ], 1349[ 24, 2352, 2, "1", [ [ 24, 2 ] ], 1, "7^2:3 x D(2*8)", [ "Z", 7, 2 ], 1350 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1351 [ [ Z(7)^0, 0*Z(7) ], [ Z(7), Z(7)^3 ] ], 1352 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 25 ], 1353[ 25, 2352, 2, "1", [ [ 48, 1 ] ], 2, "7^2:(Q(8)'D(2*3))", [ "Z", 7, 2 ], 1354 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], 1355 [ [ Z(7)^3, Z(7)^0 ], [ Z(7)^5, Z(7)^0 ] ], 1356 [ [ Z(7), Z(7) ], [ Z(7)^5, Z(7) ] ] ], 22 ], 1357[ 26, 3528, 2, "1", [ [ 12, 1 ], [ 36, 1 ] ], 1, "(AGL(1, 7) x AGL(1, 7)):2", 1358 [ "Z", 7, 2 ], 1359 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, 0*Z(7) ] ], [ [ Z(7)^0, 0*Z(7) ], 1360 [ 0*Z(7), Z(7)^3 ] ], [ [ Z(7)^0, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ] ], 1361 27 ], 1362[ 27, 3528, 2, "1", [ [ 24, 2 ] ], 1, "7^2:3 x (Q(8):3)", [ "Z", 7, 2 ], 1363 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1364 [ [ Z(7)^4, Z(7)^5 ], [ Z(7)^5, Z(7) ] ], 1365 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1366 [ [ Z(7)^4, Z(7)^0 ], [ 0*Z(7), Z(7)^2 ] ] ], 26 ], 1367[ 28, 4704, 2, "1", [ [ 48, 1 ] ], 2, "AGammaL(1, 49)", [ "Z", 7, 2 ], 1368 [ [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^3 ] ], 1369 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1370 [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^0, Z(7)^3 ] ] ], 28 ], 1371[ 29, 7056, 2, "1", [ [ 48, 1 ] ], 2, "7^2:((Q(8)'D(2*3)) x 3)", 1372 [ "Z", 7, 2 ], 1373 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, Z(7) ] ], [ [ Z(7)^3, Z(7)^0 ], 1374 [ Z(7)^5, Z(7)^0 ] ], [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1375 [ [ Z(7), Z(7) ], [ Z(7)^5, Z(7) ] ] ], 29 ], 1376[ 30, 16464, 0, "1", [ [ 48, 1 ] ], 2, "ASL(2, 7)", [ "Z", 7, 2 ], 1377 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1378 [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^0 ] ] ], 30 ], 1379[ 31, 32928, 0, "1", [ [ 48, 1 ] ], 2, "ASL(2, 7):2", [ "Z", 7, 2 ], 1380 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1381 [ [ 0*Z(7), Z(7)^3 ], [ Z(7)^3, 0*Z(7) ] ], 1382 [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^0 ] ] ], 31 ], 1383[ 32, 49392, 0, "1", [ [ 48, 1 ] ], 2, "ASL(2, 7):3", [ "Z", 7, 2 ], 1384 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1385 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1386 [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^0 ] ] ], 32 ], 1387[ 33, 98784, 0, "1", [ [ 48, 1 ] ], 2, "AGL(2, 7)", [ "Z", 7, 2 ], 1388 [ [ [ 0*Z(7), Z(7)^0 ], [ Z(7)^3, 0*Z(7) ] ], 1389 [ [ 0*Z(7), Z(7)^3 ], [ Z(7)^3, 0*Z(7) ] ], 1390 [ [ Z(7)^2, 0*Z(7) ], [ 0*Z(7), Z(7)^2 ] ], 1391 [ [ Z(7)^0, 0*Z(7) ], [ Z(7)^3, Z(7)^0 ] ] ], 34 ], 1392[ 34, 56448, 0, "4c", [ [ 12, 1 ], [ 36, 1 ] ], 1, 1393 "(PSL(3, 2) x PSL(3, 2)):2", [ "L", [ 2, 7 ], 2 ], 1394 [ ( 2, 8)( 3,15)( 4,22)( 5,29)( 6,36)( 7,43)(10,16)(11,23)(12,30)(13,37) 1395 (14,44)(18,24)(19,31)(20,38)(21,45)(26,32)(27,39)(28,46)(34,40)(35,47) 1396 (42,48), ( 1, 8,15,22,29,36,43)( 2,10,16,24,30,38,44, 3, 9,17,23,31, 1397 37,45)( 4,14,18,28,32,42,46, 7,11,21,25,35,39,49)( 5,12,19,26,33,40, 1398 47)( 6,13,20,27,34,41,48), 1399 ( 1, 2, 3, 4, 5, 6, 7)( 8,16,10,18,12,20,14,15, 9,17,11,19,13,21) 1400 (22,44,24,46,26,48,28,43,23,45,25,47,27,49)(29,30,31,32,33,34,35) 1401 (36,37,38,39,40,41,42) ], 33 ], 1402[ 35, 12700800, 0, "4c", [ [ 12, 1 ], [ 36, 1 ] ], 1, "(A(7) x A(7)):2", 1403 [ "A", 7, 2 ], 1404 [ ( 2, 8)( 3,15)( 4,22)( 5,29)( 6,36)( 7,43)(10,16)(11,23)(12,30)(13,37) 1405 (14,44)(18,24)(19,31)(20,38)(21,45)(26,32)(27,39)(28,46)(34,40)(35,47) 1406 (42,48), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19, 1407 20,21)(22,23,24,25,26,27,28)(29,37,45,32,40,48,35,36,44,31,39,47,34, 1408 42,43,30,38,46,33,41,49), 1409 ( 1, 8,15,22,29,36,43)( 2, 9,16,23,30,37,44)( 3,10,17,24,31,38,45) 1410 ( 4,11,18,25,32,39,46)( 5,13,21,26,34,42,47, 6,14,19,27,35,40,48, 7, 1411 12,20,28,33,41,49) ], 35 ], 1412[ 36, 25401600, 0, "4c", [ [ 12, 1 ], [ 36, 1 ] ], 1, "(A(7) x A(7)):2^2", 1413 [ "A", 7, 2 ], 1414 [ ( 2, 8)( 3,15)( 4,22)( 5,29)( 6,36)( 7,43)(10,16)(11,23)(12,30)(13,37) 1415 (14,44)(18,24)(19,31)(20,38)(21,45)(26,32)(27,39)(28,46)(34,40)(35,47) 1416 (42,48), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19, 1417 20,21)(22,23,24,25,26,27,28)(29,37,45,32,40,48,35,36,44,31,39,47,34, 1418 42,43,30,38,46,33,41,49), 1419 ( 1, 8,15,22,29,36,43)( 2, 9,16,23,30,37,44)( 3,10,17,24,31,38,45) 1420 ( 4,11,18,25,32,39,46)( 5,13,21,26,34,42,47, 6,14,19,27,35,40,48, 7, 1421 12,20,28,33,41,49), ( 6, 7)(13,14)(20,21)(27,28)(34,35)(36,43)(37,44) 1422 (38,45)(39,46)(40,47)(41,49)(42,48) ], 36 ], 1423[ 37, 25401600, 0, "4c", [ [ 12, 1 ], [ 36, 1 ] ], 1, "(A(7) x A(7)):4", 1424 [ "A", 7, 2 ], 1425 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1426 (22,23,24,25,26,27,28)(29,37,45,32,40,48,35,36,44,31,39,47,34,42,43, 1427 30,38,46,33,41,49), ( 1, 8,15,22,29,36,43)( 2, 9,16,23,30,37,44) 1428 ( 3,10,17,24,31,38,45)( 4,11,18,25,32,39,46)( 5,13,21,26,34,42,47, 6, 1429 14,19,27,35,40,48, 7,12,20,28,33,41,49), 1430 ( 2, 8)( 3,15)( 4,22)( 5,29)( 6,43, 7,36)(10,16)(11,23)(12,30) 1431 (13,44,14,37)(18,24)(19,31)(20,45,21,38)(26,32)(27,46,28,39) 1432 (34,47,35,40)(41,48,49,42) ], 37 ], 1433[ 38, 50803200, 0, "4c", [ [ 12, 1 ], [ 36, 1 ] ], 1, "(S(7) x S(7)):2", 1434 [ "A", 7, 2 ], 1435 [ ( 2, 8)( 3,15)( 4,22)( 5,29)( 6,36)( 7,43)(10,16)(11,23)(12,30)(13,37) 1436 (14,44)(18,24)(19,31)(20,38)(21,45)(26,32)(27,39)(28,46)(34,40)(35,47) 1437 (42,48), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19, 1438 20,21)(22,23,24,25,26,27,28)(29,37,45,32,40,48,35,36,44,31,39,47,34, 1439 42,43,30,38,46,33,41,49), 1440 ( 1, 8,15,22,29,36,43)( 2, 9,16,23,30,37,44)( 3,10,17,24,31,38,45) 1441 ( 4,11,18,25,32,39,46)( 5,13,21,26,34,42,47, 6,14,19,27,35,40,48, 7, 1442 12,20,28,33,41,49), ( 6, 7)(13,14)(20,21)(27,28)(34,35)(41,42) 1443 (48,49) ], 38 ], 1444[39, Factorial(49)/2,1,"2",[[48,1]],47, "Alt(49)", ["A",49, 1], "Alt", 39], 1445[40, Factorial(49),0,"2",[[48, 1]],49, "Sym(49)", ["A",49, 1], "Sym", 40]]; 1446PRIMGRP[50]:= 1447[[ 1, 126000, 1, "2", [ [ 7, 1 ], [ 42, 1 ] ], 1, "PSU(3, 5)", 1448 [ "2A", [ 2, 5 ], 1 ], 1449 [ ( 3, 4, 5, 6, 7)(10,12,18,16,27)(11,15,25,32,39)(13,21,22,33,38) 1450 (14,23,35,40,19)(17,20,30,36,41)(24,37,43,49,29)(26,28,31,34,42) 1451 (44,48,47,45,46), ( 2, 3)( 5, 6)(10,13)(11,16)(12,19)(14,15)(17,27) 1452 (18,26)(20,21)(22,32)(23,36)(24,37)(25,35)(30,34)(31,33)(38,40)(41,42) 1453 (44,45)(46,47)(49,50), ( 2, 3, 4, 5, 6, 7, 8)( 9,10,11,14,22,32,38) 1454 (12,17,28,23,34,41,46)(13,20,25,36,43,48,27)(15,24,35,39,44,50,49) 1455 (16,26,21,31,37,42,47)(18,19,29,30,33,40,45), 1456 ( 1,13,31,30,18,26,27)( 2, 3,34, 5,41,28,44)( 4,14,16,17,45,22,20) 1457 ( 6,25,47,33,32,12,11)( 7,48,38,10,19,42,23)( 8,50,49,29,24,37,43) 1458 (15,35,46,21,40,39,36) ], 5 ], 1459[ 2, 252000, 0, "2", [ [ 7, 1 ], [ 42, 1 ] ], 1, "PSU(3, 5):2", 1460 [ "2A", [ 2, 5 ], 1 ], 1461 [ ( 3, 4, 5, 6, 7)(10,12,18,16,27)(11,15,25,32,39)(13,21,22,33,38) 1462 (14,23,35,40,19)(17,20,30,36,41)(24,37,43,49,29)(26,28,31,34,42) 1463 (44,48,47,45,46), ( 2, 3)( 5, 6)(10,13)(11,16)(12,19)(14,15)(17,27) 1464 (18,26)(20,21)(22,32)(23,36)(24,37)(25,35)(30,34)(31,33)(38,40)(41,42) 1465 (44,45)(46,47)(49,50), ( 2, 3, 4, 5, 6, 7, 8)( 9,10,11,14,22,32,38) 1466 (12,17,28,23,34,41,46)(13,20,25,36,43,48,27)(15,24,35,39,44,50,49) 1467 (16,26,21,31,37,42,47)(18,19,29,30,33,40,45), 1468 ( 1, 9)( 2,50)( 3,49)( 4,29)( 5,24)( 6,37)( 7,43)(10,13)(11,31)(12,21) 1469 (14,30)(15,34)(16,33)(17,40)(18,22)(19,20)(23,36)(25,42)(26,32)(27,38) 1470 (28,39)(35,41) ], 7 ], 1471[ 3, 58800, 1, "2", [ [ 49, 1 ] ], 2, "PSL(2, 49)", [ "L", [ 2, 49 ], 1 ], 1472 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1473 (22,23,24,25,26,27,28)(29,30,31,32,33,34,35)(36,37,38,39,40,41,42) 1474 (43,44,45,46,47,48,49), 1475 ( 2,41, 8,38, 7,17,43,20)( 3,25,15,26, 6,33,36,32)( 4, 9,22,14, 5,49,29, 1476 44)(10,13,21,42,48,45,37,16)(11,46,28,23,47,12,30,35)(18,34,27,39,40, 1477 24,31,19), ( 2, 3, 5)( 4, 7, 6)( 8,15,29)( 9,17,33)(10,19,30) 1478 (11,21,34)(12,16,31)(13,18,35)(14,20,32)(22,43,36)(23,45,40)(24,47,37) 1479 (25,49,41)(26,44,38)(27,46,42)(28,48,39), 1480 ( 1,50)( 2, 7)( 3, 4)( 5, 6)( 9,32)(10,23)(11,42)(12,37)(13,28)(14,33) 1481 (15,29)(16,47)(17,20)(18,39)(19,40)(21,46)(22,36)(24,31)(25,44)(26,49) 1482 (27,34)(30,45)(35,48)(38,41) ], 1 ], 1483[ 4, 117600, 0, "2", [ [ 49, 1 ] ], 3, "PGL(2, 49)", [ "L", [ 2, 49 ], 1 ], 1484 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1485 (22,23,24,25,26,27,28)(29,30,31,32,33,34,35)(36,37,38,39,40,41,42) 1486 (43,44,45,46,47,48,49), ( 2, 3, 5)( 4, 7, 6)( 8,15,29)( 9,17,33) 1487 (10,19,30)(11,21,34)(12,16,31)(13,18,35)(14,20,32)(22,43,36)(23,45,40) 1488 (24,47,37)(25,49,41)(26,44,38)(27,46,42)(28,48,39), 1489 ( 2,18,41,34, 8,27,38,39, 7,40,17,24,43,31,20,19)( 3,35,25,11,15,46,26, 1490 28, 6,23,33,47,36,12,32,30)( 4,45, 9,37,22,16,14,10, 5,13,49,21,29, 1491 42,44,48), ( 1,50)( 2, 7)( 3, 4)( 5, 6)( 9,32)(10,23)(11,42)(12,37) 1492 (13,28)(14,33)(15,29)(16,47)(17,20)(18,39)(19,40)(21,46)(22,36)(24,31) 1493 (25,44)(26,49)(27,34)(30,45)(35,48)(38,41) ], 3 ], 1494[ 5, 117600, 0, "2", [ [ 49, 1 ] ], 2, "PSigmaL(2, 49)", [ "L", [ 2, 49 ], 1 ], 1495 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1496 (22,23,24,25,26,27,28)(29,30,31,32,33,34,35)(36,37,38,39,40,41,42) 1497 (43,44,45,46,47,48,49), 1498 ( 2,41, 8,38, 7,17,43,20)( 3,25,15,26, 6,33,36,32)( 4, 9,22,14, 5,49,29, 1499 44)(10,13,21,42,48,45,37,16)(11,46,28,23,47,12,30,35)(18,34,27,39,40, 1500 24,31,19), ( 2, 7)( 3, 6)( 4, 5)( 9,14)(10,13)(11,12)(16,21)(17,20) 1501 (18,19)(23,28)(24,27)(25,26)(30,35)(31,34)(32,33)(37,42)(38,41)(39,40) 1502 (44,49)(45,48)(46,47), ( 2, 3, 5)( 4, 7, 6)( 8,15,29)( 9,17,33) 1503 (10,19,30)(11,21,34)(12,16,31)(13,18,35)(14,20,32)(22,43,36)(23,45,40) 1504 (24,47,37)(25,49,41)(26,44,38)(27,46,42)(28,48,39), 1505 ( 1,50)( 2, 7)( 3, 4)( 5, 6)( 9,32)(10,23)(11,42)(12,37)(13,28)(14,33) 1506 (15,29)(16,47)(17,20)(18,39)(19,40)(21,46)(22,36)(24,31)(25,44)(26,49) 1507 (27,34)(30,45)(35,48)(38,41) ], 4 ], 1508[ 6, 117600, 0, "2", [ [ 49, 1 ] ], 3, "PSL(2, 49).2_3", [ "L", [ 2, 49 ], 1 ], 1509 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1510 (22,23,24,25,26,27,28)(29,30,31,32,33,34,35)(36,37,38,39,40,41,42) 1511 (43,44,45,46,47,48,49), 1512 ( 2,41, 8,38, 7,17,43,20)( 3,25,15,26, 6,33,36,32)( 4, 9,22,14, 5,49,29, 1513 44)(10,13,21,42,48,45,37,16)(11,46,28,23,47,12,30,35)(18,34,27,39,40, 1514 24,31,19), ( 2,40, 7,18)( 3,23, 6,35)( 4,13, 5,45)( 8,27,43,31) 1515 ( 9,10,49,48)(11,32,47,26)(12,15,46,36)(14,37,44,21)(16,29,42,22) 1516 (17,19,41,39)(20,24,38,34)(25,28,33,30), 1517 ( 2, 3, 5)( 4, 7, 6)( 8,15,29)( 9,17,33)(10,19,30)(11,21,34)(12,16,31) 1518 (13,18,35)(14,20,32)(22,43,36)(23,45,40)(24,47,37)(25,49,41)(26,44,38) 1519 (27,46,42)(28,48,39), ( 1,50)( 2, 7)( 3, 4)( 5, 6)( 9,32)(10,23) 1520 (11,42)(12,37)(13,28)(14,33)(15,29)(16,47)(17,20)(18,39)(19,40)(21,46) 1521 (22,36)(24,31)(25,44)(26,49)(27,34)(30,45)(35,48)(38,41) ], 2 ], 1522[ 7, 235200, 0, "2", [ [ 49, 1 ] ], 3, "PGammaL(2, 49)", 1523 [ "L", [ 2, 49 ], 1 ], 1524 [ ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14)(15,16,17,18,19,20,21) 1525 (22,23,24,25,26,27,28)(29,30,31,32,33,34,35)(36,37,38,39,40,41,42) 1526 (43,44,45,46,47,48,49), ( 2, 7)( 3, 6)( 4, 5)( 9,14)(10,13)(11,12) 1527 (16,21)(17,20)(18,19)(23,28)(24,27)(25,26)(30,35)(31,34)(32,33)(37,42) 1528 (38,41)(39,40)(44,49)(45,48)(46,47), 1529 ( 2, 3, 5)( 4, 7, 6)( 8,15,29)( 9,17,33)(10,19,30)(11,21,34)(12,16,31) 1530 (13,18,35)(14,20,32)(22,43,36)(23,45,40)(24,47,37)(25,49,41)(26,44,38) 1531 (27,46,42)(28,48,39), ( 2,18,41,34, 8,27,38,39, 7,40,17,24,43,31,20,19 1532 )( 3,35,25,11,15,46,26,28, 6,23,33,47,36,12,32,30)( 4,45, 9,37,22,16, 1533 14,10, 5,13,49,21,29,42,44,48), ( 1,50)( 2, 7)( 3, 4)( 5, 6)( 9,32) 1534 (10,23)(11,42)(12,37)(13,28)(14,33)(15,29)(16,47)(17,20)(18,39)(19,40) 1535 (21,46)(22,36)(24,31)(25,44)(26,49)(27,34)(30,45)(35,48)(38,41) ], 6 1536 ], 1537[8, Factorial(50)/2,1,"2",[[49,1]],48, "Alt(50)", ["A",50, 1], "Alt", 8], 1538[9, Factorial(50),0,"2",[[49, 1]],50, "Sym(50)", ["A",50, 1], "Sym", 9]]; 1539PRIMGRP[51]:= 1540[[1, Factorial(51)/2,1,"2",[[50,1]],49, "Alt(51)", ["A",51, 1], "Alt"], 1541[2, Factorial(51),0,"2",[[50, 1]],51, "Sym(51)", ["A",51, 1], "Sym"]]; 1542PRIMGRP[52]:= 1543[[ 1, 11232, 0, "2", [ [ 27, 1 ], [ 6, 1 ], [ 18, 1 ] ], 1, "PSL(3, 3).2", 1544 [ "L", [ 3, 3 ], 1 ], 1545 [ ( 2, 4)( 3, 6)( 5, 9)( 7,11)( 8,13)(10,16)(12,17)(15,20)(18,24)(19,25) 1546 (21,27)(23,29)(26,34)(28,37)(30,38)(31,40)(33,41)(35,44)(36,45)(39,47) 1547 (42,49)(43,50)(46,51)(48,52), ( 1, 2, 5, 3)( 4, 7,12, 8)( 6,10) 1548 ( 9,14,19,15)(13,18)(16,21,26,20)(17,22,28,23)(24,30,39,31) 1549 (25,32,29,33)(27,35,41,36)(34,42,45,43)(37,44)(38,40,48,46)(47,49) ] 1550 ], 1551[2, Factorial(52)/2,1,"2",[[51,1]],50, "Alt(52)", ["A",52, 1], "Alt"], 1552[3, Factorial(52),0,"2",[[51, 1]],52, "Sym(52)", ["A",52, 1], "Sym"]]; 1553PRIMGRP[53]:= 1554[[ 1, 53, 3, "1", [ [ 1, 52 ] ], 1, "C(53)", [ "Z", 53, 1 ], [ ] ], 1555[ 2, 106, 2, "1", [ [ 2, 26 ] ], 1, "D(2*53)", [ "Z", 53, 1 ], 1556 [ [ [ Z(53)^26 ] ] ] ], 1557[ 3, 212, 2, "1", [ [ 4, 13 ] ], 1, "53:4", [ "Z", 53, 1 ], 1558 [ [ [ Z(53)^13 ] ] ] ], 1559[ 4, 689, 2, "1", [ [ 13, 4 ] ], 1, "53:13", [ "Z", 53, 1 ], 1560 [ [ [ Z(53)^4 ] ] ] ], 1561[ 5, 1378, 2, "1", [ [ 26, 2 ] ], 1, "53:26", [ "Z", 53, 1 ], 1562 [ [ [ Z(53)^2 ] ] ] ], 1563[ 6, 2756, 2, "1", [ [ 52, 1 ] ], 2, "AGL(1, 53)", [ "Z", 53, 1 ], 1564 [ [ [ Z(53) ] ] ] ], 1565[7, Factorial(53)/2,1,"2",[[52,1]],51, "Alt(53)", ["A",53, 1], "Alt"], 1566[8, Factorial(53),0,"2",[[52, 1]],53, "Sym(53)", ["A",53, 1], "Sym"]]; 1567PRIMGRP[54]:= 1568[[ 1, 74412, 1, "2", [ [ 53, 1 ] ], 2, "PSL(2, 53)", [ "L", [ 2, 53 ], 1 ], 1569 "psl" ], 1570[ 2, 148824, 0, "2", [ [ 53, 1 ] ], 3, "PGL(2, 53)", [ "L", [ 2, 53 ], 1 ], 1571 "pgl" ], 1572[3, Factorial(54)/2,1,"2",[[53,1]],52, "Alt(54)", ["A",54, 1], "Alt"], 1573[4, Factorial(54),0,"2",[[53, 1]],54, "Sym(54)", ["A",54, 1], "Sym"]]; 1574PRIMGRP[55]:= 1575[[ 1, 660, 1, "2", [ [ 12, 2 ], [ 3, 2 ], [ 6, 4 ] ], 1, "PSL(2, 11)", 1576 [ "L", [ 2, 11 ], 1 ], 1577 [ ( 1,25, 7,32,10,35)( 2,23,18,41,31,39)( 3, 5,54)( 4,20,45,26,14,44) 1578 ( 6,15,42,36, 8,17)( 9,33,55,43,49,53)(11,50,30,24,38,27) 1579 (12,21,16,48,52,28)(13,37,46,47,34,19)(29,51,40), 1580 ( 1, 2,52)( 3,18,34,50, 7,14)( 4,35,42,54,51,37)( 5,33,40,46,22,15) 1581 ( 6,21,31,55,19,10)( 8, 9,23,28,47,20)(11,13,48,36,24,49)(16,39,44) 1582 (17,41,29,25,26,30)(27,38,53,45,32,43) ] ], 1583[ 2, 1320, 0, "2", [ [ 12, 4 ], [ 6, 1 ] ], 1, "PGL(2, 11)", 1584 [ "L", [ 2, 11 ], 1 ], 1585 [ ( 1, 2, 4, 8,15,26,41,32,47,13)( 3, 6,12,21,34,51,37,52,48,36) 1586 ( 5,10,18,31,45,29,44,23,39,25)( 7,14,24,40,11,20,35,38,54,50) 1587 ( 9,16,28,43,22)(17,30,19,33,49,46,27,42,53,55), 1588 ( 1, 3, 7)( 2, 5,11)( 4, 9,17)( 6,13,23)(10,19,34)(12,22,38)(14,25,26) 1589 (15,27,28)(16,29,45)(18,32,48)(20,36,41)(21,37,53)(24,31,46)(30,44,40) 1590 (33,50,35)(39,51,49)(42,55,47)(43,52,54) ] ], 1591[ 3, 1320, 0, "2", [ [ 12, 1 ], [ 24, 1 ], [ 4, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, 1592 "PGL(2, 11)", [ "L", [ 2, 11 ], 1 ], 1593 [ ( 1, 2, 4, 8,14,22,34,39,42,44)( 3, 6,12,18,28,41,52,24,37,48) 1594 ( 5,10,16,25,38,50,27,33,46,31)( 7,13,20,30,36)( 9,15,23,35,47,54,49, 1595 11,17,26)(19,29,43,51,21,32,45,53,55,40), 1596 ( 1, 3, 7)( 2, 5,11)( 4, 9, 8)(10,15,24)(12,19,30)(13,21,33)(14,16,18) 1597 (17,27,40)(20,31,34)(23,36,35)(25,39,51)(26,28,42)(29,44,52)(37,49,43) 1598 (38,45,48)(41,47,50)(53,54,55) ] ], 1599[ 4, 7920, 1, "2", [ [ 36, 1 ], [ 18, 1 ] ], 1, "M_11", 1600 [ "Spor", "M(11)", 1 ], 1601 [ ( 1, 2)( 3, 4)( 6, 8)( 9,11)(10,13)(12,16)(14,18)(15,20)(17,23)(19,26) 1602 (22,29)(24,32)(27,35)(28,37)(30,39)(31,40)(33,42)(34,43)(41,46)(44,45) 1603 (47,51)(48,52)(50,53)(54,55), ( 2, 3, 5, 7)( 4, 6, 9,12)( 8,10,14,19) 1604 (11,15,21,28)(13,17,24,33)(16,22,30,40)(18,25,34,37)(20,27,36,45) 1605 (23,31,41,47)(29,38)(35,44,42,48)(39,46,50,52)(43,49,53,55)(51,54) ] 1606 ], 1607[ 5, 19958400, 1, "2", [ [ 36, 1 ], [ 18, 1 ] ], 1, "Alt(11)", 1608 [ "A", 11, 1 ], 1609 [ ( 1, 2, 3, 5, 8,11,15,20,26)( 4, 6, 9,12,16,21,27,33,39)( 7,10,13,17,22, 1610 28,34,41,47)(14,19,25,32,38,46,29,35,43)(18,24,31,37,45,23,30,36,44) 1611 (42,48,49,50,51,52,53,54,55), ( 2, 4, 7)( 6,10,14)( 9,13,18)(12,17,23) 1612 (16,22,29)(21,28,26)(27,34,42)(33,40,41)(39,47,48) ] ], 1613[ 6, 39916800, 0, "2", [ [ 36, 1 ], [ 18, 1 ] ], 1, "Sym(11)", 1614 [ "A", 11, 1 ], 1615 [ ( 1, 2, 3, 5, 8,11,15, 4, 7,10,14)( 6, 9,12,16,19,18,22,26,31,36,40) 1616 (13,17,20,24,23,27,32,37,41,44,47)(21,25,29,28,33,38,42,45,48,50,52) 1617 (30,35,34,39,43,46,49,51,53,54,55), 1618 ( 2, 4)( 3, 6)( 9,13)(15,18)(17,21)(19,23)(24,28)(25,30)(29,34) ] ], 1619[7, Factorial(55)/2,1,"2",[[54,1]],53, "Alt(55)", ["A",55, 1], "Alt"], 1620[8, Factorial(55),0,"2",[[54, 1]],55, "Sym(55)", ["A",55, 1], "Sym"]]; 1621PRIMGRP[56]:= 1622[[ 1, 20160, 1, "2", [ [ 45, 1 ], [ 10, 1 ] ], 1, "PSL(3, 4)", 1623 [ "L", [ 3, 4 ], 1 ], 1624 [ ( 1,18)( 2,19)( 3,53)( 5,48)( 6,30)( 7,27)( 8,33)(10,15)(11,28)(12,21) 1625 (13,32)(16,40)(17,29)(22,34)(23,44)(24,46)(26,37)(31,54)(35,45)(36,49) 1626 (39,41)(43,52)(47,50)(51,55), ( 2, 3,38,28)( 4,42,34,16)( 5,13,21,25) 1627 ( 6, 9,51,45)( 7,55,40,12)( 8,52,46,19)(10,22,30,18)(11,17,37,32) 1628 (14,15,23,48)(20,54)(26,31,49,35)(29,47)(33,39,56,53)(36,50,41,44) ] 1629 ], 1630[ 2, 40320, 0, "2", [ [ 45, 1 ], [ 10, 1 ] ], 1, "PSL(3, 4).2_3", 1631 [ "L", [ 3, 4 ], 1 ], 1632 [ ( 1, 2)( 4, 6)( 7,10)( 8,12)( 9,13)(14,19)(15,21)(16,22)(17,24)(18,25) 1633 (20,28)(23,31)(27,34)(29,37)(33,40)(39,45)(41,48)(42,50)(43,51)(44,53) 1634 (49,55), ( 1,33,23, 3)( 2,42,52,27)( 4,48,50,29)( 5,35,37,19) 1635 ( 6,20,39,40)( 7,47)( 8,22,32,44)( 9,14)(10,34,56,18)(11,12,41,24) 1636 (13,31,53,38)(15,54)(16,55)(17,43,26,45)(21,25,36,51)(28,46,30,49) ] 1637 ], 1638[ 3, 40320, 0, "2", [ [ 45, 1 ], [ 10, 1 ] ], 1, "PSL(3, 4).2_1", 1639 [ "L", [ 3, 4 ], 1 ], 1640 [ ( 1, 4)( 2,35)( 3,24)( 5,36)( 6,20)( 7,13)( 8,53)( 9,25)(10,55)(11,15) 1641 (12,42)(14,22)(16,27)(17,38)(19,46)(21,29)(23,45)(26,51)(28,52)(30,34) 1642 (31,56)(33,44)(37,41)(39,43)(47,48), ( 1,49)( 2,40,56,17)( 3,24,48,52) 1643 ( 4,42,21,10)( 6,25,39,28)( 7,37)( 8,47,38,34)(11,14,55,41) 1644 (12,35,27,13)(15,44,18,45)(16,23,54,46)(19,33,26,36)(20,29,53,50) 1645 (22,43,31,32) ] ], 1646[ 4, 40320, 0, "2", [ [ 45, 1 ], [ 10, 1 ] ], 1, "PSL(3, 4).2_2", 1647 [ "L", [ 3, 4 ], 1 ], 1648 [ ( 1,37)( 2,50)( 3,52)( 4, 5)( 6,33)( 7,44)( 8,11)( 9,19)(10,31)(12,45) 1649 (13,30)(14,36)(15,51)(16,32)(17,25)(18,35)(20,34)(21,26)(22,41)(23,42) 1650 (24,56)(27,49)(28,55)(29,53)(38,43)(39,46)(40,54)(47,48), 1651 ( 1,40,51, 9,30,27)( 2,39,35,10, 7,26)( 3,21,46,23,33,29) 1652 ( 4,15,25,34,36,32)( 5,41,12,22,17,14)( 6,38,24,43,53,45) 1653 ( 8,44,55,47,18,11)(13,50,37,48,56,28)(16,54,52,42,19,20)(31,49) ] ], 1654[ 5, 80640, 0, "2", [ [ 45, 1 ], [ 10, 1 ] ], 1, "PSL(3, 4).2^2", 1655 [ "L", [ 3, 4 ], 1 ], 1656 [ ( 1, 2)( 4, 6)( 7,10)( 8,12)( 9,13)(14,19)(15,21)(16,22)(17,24)(18,25) 1657 (20,28)(23,31)(27,34)(29,37)(33,40)(39,45)(41,48)(42,50)(43,51)(44,53) 1658 (49,55), ( 1, 3, 5, 8,10,15)( 2, 4, 7,11,16,23)( 6, 9,14,20,29,38) 1659 (12,17,22,30,21,25)(13,18,26,33,41,49)(19,27,35,43,52,31) 1660 (24,32,39,46,50,55)(28,36,44,53,56,48)(34,42)(37,45,51,40,47,54) ] ], 1661[ 6, 20160, 1, "2", [ [ 15, 1 ], [ 30, 1 ], [ 10, 1 ] ], 1, "Alt(8)", 1662 [ "A", 8, 1 ], 1663 [ ( 1, 2, 4, 8,13,19)( 3, 6,12,18,25,34)( 5,10,16,20,27, 7)( 9,15,22,29,39, 1664 48)(11,17,24,32,42,51)(14,21,28,38,47,53)(23,30,40,49,26,36) 1665 (31,41,50,55,37,46)(33,43,35,44,52,45)(54,56), 1666 ( 1, 3, 7)( 2, 5,11)( 4, 9,10)( 8,14,16)(13,20,28)(15,23,31)(18,26,37) 1667 (19,27,22)(24,33,44)(25,35,45)(30,41,38)(32,40,50)(36,46,53)(43,52,47) 1668 (49,54,55) ] ], 1669[ 7, 40320, 0, "2", [ [ 15, 1 ], [ 30, 1 ], [ 10, 1 ] ], 1, "Sym(8)", 1670 [ "A", 8, 1 ], 1671 [ ( 1, 2, 3, 5, 7,11,17,23)( 4, 6, 9,14,21,27,34,42)( 8,13,20,26,33,41,48,54 1672 )(10,16,18,24,30,38,46,52)(12,19,25,32,40,49,55,56)(15,22,29,36,44, 1673 31,39,47)(28,35,43,50,53,37,45,51), 1674 ( 2, 4)( 5, 8)( 6,10)( 7,12)( 9,15)(11,18)(14,20)(21,28)(24,31)(29,37) 1675 (35,42)(39,48)(45,50)(46,53)(49,54) ] ], 1676[8, Factorial(56)/2,1,"2",[[55,1]],54, "Alt(56)", ["A",56, 1], "Alt"], 1677[9, Factorial(56),0,"2",[[55, 1]],56, "Sym(56)", ["A",56, 1], "Sym"]]; 1678PRIMGRP[57]:= 1679[[ 1, 3420, 1, "2", [ [ 6, 1 ], [ 30, 1 ], [ 20, 1 ] ], 1, "PSL(2, 19)", 1680 [ "L", [ 2, 19 ], 1 ], 1681 [ ( 1, 2)( 3, 5)( 4, 7)( 6,10)( 8,13)( 9,15)(11,18)(12,20)(14,23)(16,25) 1682 (17,27)(22,32)(24,35)(26,31)(28,39)(29,41)(30,42)(33,34)(36,47)(37,49) 1683 (43,53)(44,51)(45,50)(46,54)(48,56)(52,55), 1684 ( 1, 3, 6,11,19,30,43,49,15,20,27,38,35,46,55,42,23,34,45) 1685 ( 2, 4, 8,14,24,36,48,47,41,52,57,13,22,33,32,18,29,39,51) 1686 ( 5, 9,16,26,25,37,50,54, 7,12,21,31,44,53,56,10,17,28,40) ] ], 1687[ 2, 1876896, 1, "2", [ [ 56, 1 ] ], 2, "PSL(3, 7)", [ "L", [ 3, 7 ], 1 ], 1688 [ ( 1, 6,50,57, 4,52, 3,43, 8,16,53, 9,47,28,14,42,21,38,33)( 2,25,36,55,32, 1689 49,39,30,56,13,51,31,10,24,35,29, 7,17,40)( 5,27,12,34,23,44,54,48, 1690 18,41,37,45,46,20,26,11,15,19,22), 1691 ( 1, 4,39, 8,41,19, 2,25,17,21,46,11,14, 5,44,54)( 3,32, 6,12,47,40,16, 1692 57,55,28,37,18,56,42,38,23)( 7,53,33,30,20,31,24, 9)(13,34,27,50,26, 1693 22,29,52,43,49,48,45,35,36,51,15) ] ], 1694[ 3, 5630688, 0, "2", [ [ 56, 1 ] ], 2, "PSL(3, 7).3", [ "L", [ 3, 7 ], 1 ], 1695 [ ( 1,10,35,47)( 2,30,24, 8,53,37,12,13,34,38,18,31,42,28,25,16,23,22,50,49, 1696 3,57,54,21)( 4,15,52,19,33,43,41,36,14,48,44,11, 6,39,29,55,46,20,32, 1697 27, 5,40, 7,51)( 9,56,17,26), 1698 ( 1,39,10,14,33, 9,49,57,34,29,13, 5,31,18,50,35,27,11,37) 1699 ( 2,32,19,17,22, 8,16,43, 4,20,42,44,48,21,47,26,23,52,12) 1700 ( 3,45, 7,38,55,46,30, 6,53,41,56,24,15,40,36,54,28,25,51) ] ], 1701[4, Factorial(57)/2,1,"2",[[56,1]],55, "Alt(57)", ["A",57, 1], "Alt"], 1702[5, Factorial(57),0,"2",[[56, 1]],57, "Sym(57)", ["A",57, 1], "Sym"]]; 1703PRIMGRP[58]:= 1704[[1, Factorial(58)/2,1,"2",[[57,1]],56, "Alt(58)", ["A",58, 1], "Alt"], 1705[2, Factorial(58),0,"2",[[57, 1]],58, "Sym(58)", ["A",58, 1], "Sym"]]; 1706PRIMGRP[59]:= 1707[[ 1, 59, 3, "1", [ [ 1, 58 ] ], 1, "C(59)", [ "Z", 59, 1 ], [ ] ], 1708[ 2, 118, 2, "1", [ [ 2, 29 ] ], 1, "D(2*59)", [ "Z", 59, 1 ], 1709 [ [ [ Z(59)^29 ] ] ] ], 1710[ 3, 1711, 2, "1", [ [ 29, 2 ] ], 1, "59:29", [ "Z", 59, 1 ], 1711 [ [ [ Z(59)^2 ] ] ] ], 1712[ 4, 3422, 2, "1", [ [ 58, 1 ] ], 2, "AGL(1, 59)", [ "Z", 59, 1 ], 1713 [ [ [ Z(59) ] ] ] ], 1714[5, Factorial(59)/2,1,"2",[[58,1]],57, "Alt(59)", ["A",59, 1], "Alt"], 1715[6, Factorial(59),0,"2",[[58, 1]],59, "Sym(59)", ["A",59, 1], "Sym"]]; 1716PRIMGRP[60]:= 1717[[ 1, 3600, 0, "3a", [ [ 12, 2 ], [ 15, 1 ], [ 20, 1 ] ], 1, "Alt(5)^2", 1718 [ "A", 5, 2 ], 1719 [ ( 1, 2,37,31, 6,17,60,28,12,29,36,11,27,18,45)( 3,34,58,38,26,32,39,25,41, 1720 44,43,30,35,24,22)( 4,21,46,14,10,20,52,19,55,49,57, 5,16,23,51) 1721 ( 7,59,42,15, 9,48,50,33,54,53,13,56, 8,40,47), 1722 ( 1,18,59,27,32,40, 8,58, 2,53)( 3, 6,21,31,16, 9,34,41,42, 7) 1723 ( 4, 5,26,20,48,51,38,55,10,46)(11,30,37,15,12,28,45,60,17,33) 1724 (13,54,22,39,50,19,36,14,29,25)(23,43,49,56,24,44,47,57,35,52) ] ], 1725[ 2, 7200, 0, "3a", [ [ 24, 1 ], [ 15, 1 ], [ 20, 1 ] ], 1, "Alt(5)^2.2", 1726 [ "A", 5, 2 ], 1727 [ ( 1, 5,33,58,20, 7,23,13,53,60,22,21)( 2, 6,11,38,48,54,35,16,25,43,52,37) 1728 ( 3,51,19,46,49,15,41,50,45,29,59,27)( 4,47,12,55,17,34,44, 8,39,36, 1729 14,31)( 9,40,18,24,57,10,42,28,30,32,26,56), 1730 ( 1,12,58,19, 3)( 2, 9,49,21,60)( 4,51,17,34,31)( 5,44,45,15,40) 1731 ( 6,52,47,50,55)( 7,16,27,43,38)( 8,35,26,57,18)(10,24,32,54,36) 1732 (11,46,48,22,25)(13,53,30,39,56)(14,33,42,29,41)(20,59,28,37,23) ] ], 1733[ 3, 7200, 0, "3b", [ [ 24, 1 ], [ 15, 1 ], [ 20, 1 ] ], 1, 1734 "Alt(5) wreath Sym(2)", [ "A", 5, 2 ], 1735 [ ( 1, 7, 6,30,16,42)( 2,19,18, 5,32,49)( 3,46,26,41,14,40)( 4,39,58) 1736 ( 8,17,28)( 9,11,35,34,10,45)(12,54,27,22,52,37)(13,56,31,24,55,21) 1737 (15,48,60,51,50,44)(23,38)(25,53,59,33,36,43)(29,57,47), 1738 ( 1,51,38, 3)( 2,33,10,24)( 4,60, 8,47)( 5,31,16,45)( 6,40,17,53) 1739 ( 7,55,11,42)( 9,35,12,28)(13,22,29,36)(14,39,19,25)(15,52,23,43) 1740 (18,59,27,48)(20,32,21,26)(30,37,49,41)(34,56,46,57)(44,58) ] ], 1741[ 4, 7200, 0, "3b", [ [ 12, 2 ], [ 15, 1 ], [ 20, 1 ] ], 1, 1742 "Alt(5) wreath Sym(2)", [ "A", 5, 2 ], 1743 [ ( 1,30,42,14)( 2,19,28,21)( 3,15)( 4, 7,22,50)( 5,53,59, 8)( 6,10) 1744 ( 9,27,55,48)(11,46,24,13)(12,33,34,20)(16,56,58,60)(17,52,26,41) 1745 (18,57,36,23)(25,44,37,39)(29,40,54,51)(31,35,47,38)(32,43,49,45), 1746 ( 1,30,10,28,19,22,25, 5,17,51,43,27,44, 8,35)( 2,40,13,15,23,45,14, 4, 1747 18,20,50,47,56,11,38)( 3,32,55,42,33,57,34,39,59,16,46,60,21,52,54) 1748 ( 6,48,36,31,29,37, 9,12,58,41,53,49, 7,24,26) ] ], 1749[ 5, 14400, 0, "3b", [ [ 24, 1 ], [ 15, 1 ], [ 20, 1 ] ], 1, "Alt(5)^2.2^2", 1750 [ "A", 5, 2 ], 1751 [ ( 1, 3,56,42)( 2,60,44, 5)( 4,15,17,51)( 6,55,41,30)( 7,16)( 8,18,57,49) 1752 ( 9,40,31,35)(10,58,11,47)(12,33,48,46)(13,19,36,54)(14,50,25,22) 1753 (20,43,28,59)(21,26,34,45)(23,37,27,38)(24,52,53,32)(29,39), 1754 ( 1,42,40,58)( 2,53,19,46)( 3,13,37,27)( 4,41,25,54)( 5,20,15, 8) 1755 ( 6,24,57,52)( 7,43,55,14)( 9,26,60,16)(10,39,18,12)(11,22,44,47) 1756 (17,35,38,45)(21,33,36,29)(23,32,28,48)(30,51,56,50)(31,34,59,49) ] ], 1757[ 6, 102660, 1, "2", [ [ 59, 1 ] ], 2, "PSL(2, 59)", [ "L", [ 2, 59 ], 1 ], 1758 "psl" ], 1759[ 7, 205320, 0, "2", [ [ 59, 1 ] ], 3, "PGL(2, 59)", [ "L", [ 2, 59 ], 1 ], 1760 "pgl" ], 1761[8, Factorial(60)/2,1,"2",[[59,1]],58, "Alt(60)", ["A",60, 1], "Alt"], 1762[9, Factorial(60),0,"2",[[59, 1]],60, "Sym(60)", ["A",60, 1], "Sym"]]; 1763PRIMGRP[61]:= 1764[[ 1, 61, 3, "1", [ [ 1, 60 ] ], 1, "C(61)", [ "Z", 61, 1 ], [ ] ], 1765[ 2, 122, 2, "1", [ [ 2, 30 ] ], 1, "D(2*61)", [ "Z", 61, 1 ], 1766 [ [ [ Z(61)^30 ] ] ] ], 1767[ 3, 183, 2, "1", [ [ 3, 20 ] ], 1, "61:3", [ "Z", 61, 1 ], 1768 [ [ [ Z(61)^20 ] ] ] ], 1769[ 4, 244, 2, "1", [ [ 4, 15 ] ], 1, "61:4", [ "Z", 61, 1 ], 1770 [ [ [ Z(61)^15 ] ] ] ], 1771[ 5, 305, 2, "1", [ [ 5, 12 ] ], 1, "61:5", [ "Z", 61, 1 ], 1772 [ [ [ Z(61)^12 ] ] ] ], 1773[ 6, 366, 2, "1", [ [ 6, 10 ] ], 1, "61:6", [ "Z", 61, 1 ], 1774 [ [ [ Z(61)^10 ] ] ] ], 1775[ 7, 610, 2, "1", [ [ 10, 6 ] ], 1, "61:10", [ "Z", 61, 1 ], 1776 [ [ [ Z(61)^6 ] ] ] ], 1777[ 8, 732, 2, "1", [ [ 12, 5 ] ], 1, "61:12", [ "Z", 61, 1 ], 1778 [ [ [ Z(61)^5 ] ] ] ], 1779[ 9, 915, 2, "1", [ [ 15, 4 ] ], 1, "61:15", [ "Z", 61, 1 ], 1780 [ [ [ Z(61)^4 ] ] ] ], 1781[ 10, 1220, 2, "1", [ [ 20, 3 ] ], 1, "61:20", [ "Z", 61, 1 ], 1782 [ [ [ Z(61)^3 ] ] ] ], 1783[ 11, 1830, 2, "1", [ [ 30, 2 ] ], 1, "61:30", [ "Z", 61, 1 ], 1784 [ [ [ Z(61)^2 ] ] ] ], 1785[ 12, 3660, 2, "1", [ [ 60, 1 ] ], 2, "AGL(1, 61)", [ "Z", 61, 1 ], 1786 [ [ [ Z(61) ] ] ] ], 1787[13, Factorial(61)/2,1,"2",[[60,1]],59, "Alt(61)", ["A",61, 1], "Alt"], 1788[14, Factorial(61),0,"2",[[60, 1]],61, "Sym(61)", ["A",61, 1], "Sym"]]; 1789PRIMGRP[62]:= 1790[[ 1, 113460, 1, "2", [ [ 61, 1 ] ], 2, "PSL(2, 61)", [ "L", [ 2, 61 ], 1 ], 1791 "psl" ], 1792[ 2, 226920, 0, "2", [ [ 61, 1 ] ], 3, "PGL(2, 61)", [ "L", [ 2, 61 ], 1 ], 1793 "pgl" ], 1794[3, Factorial(62)/2,1,"2",[[61,1]],60, "Alt(62)", ["A",62, 1], "Alt"], 1795[4, Factorial(62),0,"2",[[61, 1]],62, "Sym(62)", ["A",62, 1], "Sym"]]; 1796PRIMGRP[63]:= 1797[[ 1, 6048, 1, "2", [ [ 24, 1 ], [ 6, 1 ], [ 32, 1 ] ], 1, "PSU(3, 3)", 1798 [ "2A", [ 2, 3 ], 1 ], 1799 [ ( 1,15,20)( 2,10, 6)( 3,48, 9)( 4, 8,29)( 5,40,27)(11,63,39)(12,22,13) 1800 (16,50,23)(17,25,59)(19,44,28)(21,26,62)(24,38,42)(30,32,43)(33,46,56) 1801 (34,55,37)(35,53,61)(36,60,51)(52,57,58), 1802 ( 1,49,38,60)( 2,18,51,29)( 3, 8,20,40)( 4,25,43,16)( 5,30,41,47) 1803 ( 6,36,35,44)( 7,58,53,33)( 9,59)(10,24,31,23)(11,13,50,55) 1804 (12,52,37,15)(14,28,26,61)(17,32,57,21)(19,63,54,56)(22,45) 1805 (27,48,62,39) ] ], 1806[ 2, 12096, 0, "2", [ [ 24, 1 ], [ 6, 1 ], [ 32, 1 ] ], 1, "PSU(3, 3).2", 1807 [ "2A", [ 2, 3 ], 1 ], 1808 [ ( 1,47, 8)( 2,50,23)( 3,11,26)( 4,49,15)( 5,36, 9)( 6,16,10)( 7,30,57) 1809 (12,48,33)(13,51,21)(14,55,19)(17,31,42)(18,58,43)(22,27,53)(25,38,45) 1810 (34,41,44)(35,62,56)(39,61,60)(40,63,46), 1811 ( 1,22,41,24)( 2,61,33,30)( 3,42,37, 4)( 5,35, 7,50)( 6,20,54,57) 1812 ( 8, 9,51,10)(11,59,19,36)(12,52,17,14)(13,23)(15,40,62,58) 1813 (16,49,60,21)(18,47,46,48)(25,56,32,34)(26,45,27,55)(28,38,39,53) 1814 (29,43)(31,44) ] ], 1815[ 3, 6048, 1, "2", [ [ 24, 1 ], [ 16, 2 ], [ 6, 1 ] ], 1, "PSU(3, 3)", 1816 [ "2A", [ 2, 3 ], 1 ], 1817 [ ( 1,26,29)( 2,17,51)( 3,62,60)( 4,37,59)( 5,19,45)( 6, 8,28)( 7,50,14) 1818 ( 9,30,10)(11,40,56)(12,32,20)(13,52,22)(15,33,54)(16,49,25)(18,47,34) 1819 (21,58,63)(23,61,55)(24,42,36)(27,41,35)(31,57,39)(38,44,53)(43,46,48) 1820 , ( 1,55,31, 6)( 2,43,18,13)( 3, 4,42,21)( 5,23,11,26)( 7,32)( 8,41) 1821 ( 9,33,48,12)(10,57)(14,34,38,35)(15,53,28,39)(17,52)(19,25) 1822 (20,27,29,60)(22,51,62,36)(24,61,30,50)(44,56,54,63)(45,46,59,47) 1823 (49,58) ] ], 1824[ 4, 12096, 0, "2", [ [ 24, 1 ], [ 6, 1 ], [ 32, 1 ] ], 1, "PSU(3, 3).2", 1825 [ "2A", [ 2, 3 ], 1 ], 1826 [ ( 1,17,62)( 2,27, 5)( 3,23,19)( 4,11,25)( 6,21,12)( 7,37,52)( 8,46,63) 1827 ( 9,56,39)(10,59,54)(13,31,16)(14,30,49)(15,40,22)(18,61,26)(20,58,48) 1828 (24,51,47)(28,32,43)(29,36,45)(33,57,50)(34,41,60)(35,55,42)(38,44,53) 1829 , ( 1,58,52,39)( 2,41)( 3,59,10,25)( 4,35,51,40)( 5,19,22, 9) 1830 ( 6,36,38,61)( 7,54)( 8,12,27,17)(11,18,20,57)(13,56,24,16) 1831 (14,28,47,37)(21,23,50,30)(26,46,43,55)(29,44,62,32)(31,33)(42,60) 1832 (45,53)(48,49) ] ], 1833[ 5, 1451520, 1, "2", [ [ 30, 1 ], [ 32, 1 ] ], 1, "PSp(6, 2)", 1834 [ "B", [ 3, 2 ], 1 ], 1835 [ ( 1,35)( 4,53)( 7,38)( 9,17)(10,36)(11,41)(12,30)(13,63)(14,26)(19,29) 1836 (20,22)(21,46)(23,45)(24,60)(25,49)(27,48)(31,50)(32,47)(34,62)(39,44) 1837 (40,57)(42,51)(43,54)(56,59), ( 1, 4, 5, 6, 3, 2)( 7,12,45, 8,40,43) 1838 ( 9,49,38,62,30,39)(10,20,19,25,47,48)(11,56,55,46,26,27) 1839 (13,23,33,35,22,17)(14,60,61,16,58,57)(15,31,59)(18,21,54,32,24,28) 1840 (29,63,44)(36,53,52,37,50,51)(41,42) ] ], 1841[ 6, 20158709760, 1, "2", [ [ 62, 1 ] ], 2, "PSL(6, 2)", [ "L", [ 6, 2 ], 1 ], 1842 [ ( 1,57)( 7,32)( 9,10)(11,29)(12,62)(13,25)(14,54)(17,36)(19,41)(21,50) 1843 (26,43)(30,34)(31,46)(35,40)(38,47)(49,63), 1844 ( 1, 6, 5, 4, 3, 2)( 7,63, 8)( 9,62,30,39,38,49)(10,48,47,20,19,25) 1845 (11,24,23,22,21,46)(12,45,44,43,40,29)(13,28,27,26,18,17)(14,16,15) 1846 (31,61,60,59,58,57)(32,56,55,54,35,33)(36,53,52,51,50,37)(41,42) ] ], 1847[7, Factorial(63)/2,1,"2",[[62,1]],61, "Alt(63)", ["A",63, 1], "Alt"], 1848[8, Factorial(63),0,"2",[[62, 1]],63, "Sym(63)", ["A",63, 1], "Sym"]]; 1849PRIMGRP[64]:= 1850[[ 1, 576, 2, "1", [ [ 9, 7 ] ], 1, "2^6:9", [ "Z", 2, 6 ], 1851 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1852 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1853 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1854 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1855 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1856 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ] ] ], 1857[ 2, 896, 2, "1", [ [ 14, 1 ], [ 7, 7 ] ], 1, "2^6:D_14", [ "Z", 2, 6 ], 1858 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1859 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1860 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1861 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1862 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 1863 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 1864 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1865 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1866 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1867 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1868 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 1869 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 1870[ 3, 1152, 2, "1", [ [ 9, 7 ] ], 1, "2^6:D_18", [ "Z", 2, 6 ], 1871 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1872 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1873 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1874 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1875 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1876 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 1877 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1878 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1879 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1880 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1881 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1882 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 1883[ 4, 1344, 2, "1", [ [ 21, 3 ] ], 1, "2^6:21", [ "Z", 2, 6 ], 1884 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1885 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1886 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1887 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1888 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1889 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ], 1890 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1891 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1892 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 1893 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1894 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 1895 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 1896[ 5, 1728, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:9:3", [ "Z", 2, 6 ], 1897 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1898 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1899 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1900 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1901 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1902 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 1903 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1904 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1905 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1906 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1907 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1908 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ] ] ], 1909[ 6, 1728, 2, "1", [ [ 27, 1 ], [ 9, 4 ] ], 1, "2^6:3^2:3", [ "Z", 2, 6 ], 1910 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1911 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1912 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1913 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 1914 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1915 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 1916 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1917 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1918 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1919 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1920 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1921 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 1922[ 7, 2688, 2, "1", [ [ 14, 1 ], [ 7, 1 ], [ 21, 2 ] ], 1, "2^6:7:6", 1923 [ "Z", 2, 6 ], 1924 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 1925 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1926 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1927 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1928 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1929 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 1930 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1931 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1932 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1933 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1934 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1935 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 1936[ 8, 2688, 2, "1", [ [ 42, 1 ], [ 21, 1 ] ], 1, "2^6:(7 x Sym(3))", 1937 [ "Z", 2, 6 ], 1938 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 1939 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1940 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1941 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 1942 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1943 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 1944 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1945 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 1946 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1947 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 1948 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 1949 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 1950[ 9, 3456, 2, "1", [ [ 27, 1 ], [ 9, 4 ] ], 1, "2^6:3^2:Sym(3)", 1951 [ "Z", 2, 6 ], 1952 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 1953 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1954 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1955 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1956 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 1957 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 1958 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1959 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1960 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1961 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1962 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1963 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 1964 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1965 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1966 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1967 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 1968 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1969 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 1970[ 10, 3456, 2, "1", [ [ 27, 1 ], [ 18, 1 ], [ 9, 2 ] ], 1, "2^6:3^2:Sym(3)", 1971 [ "Z", 2, 6 ], 1972 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 1973 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1974 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1975 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1976 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 1977 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 1978 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1979 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1980 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1981 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 1982 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 1983 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 1984[ 11, 3456, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:9:6", [ "Z", 2, 6 ], 1985 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1986 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1987 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1988 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1989 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 1990 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ], 1991 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1992 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 1993 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 1994 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 1995 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 1996 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 1997[ 12, 4032, 2, "1", [ [ 63, 1 ] ], 2, "AGL(1, 2^6)", [ "Z", 2, 6 ], 1998 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 1999 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2000 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2001 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2002 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2003 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2004 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2005 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2006 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2007 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2008 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2009 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ] ] ], 2010[ 13, 4032, 2, "1", [ [ 21, 3 ] ], 1, "2^6:(3 x 7:3)", [ "Z", 2, 6 ], 2011 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2012 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2013 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2014 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2015 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2016 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2017 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2018 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2019 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2020 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2021 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2022 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2023[ 14, 4032, 2, "1", [ [ 63, 1 ] ], 2, "2^6:7:9", [ "Z", 2, 6 ], 2024 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2025 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2026 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2027 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2028 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 2029 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2030 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2031 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2032 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2033 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2034 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2035 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2036[ 15, 5184, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:(3 wreath Alt(3))", 2037 [ "Z", 2, 6 ], 2038 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2039 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2040 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2041 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2042 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2043 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2044 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2045 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2046 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2047 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2048 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2049 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2050[ 16, 6272, 2, "1", [ [ 14, 1 ], [ 49, 1 ] ], 1, "2^6:(7 x D_14)", 2051 [ "Z", 2, 6 ], 2052 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2053 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2054 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2055 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2056 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2057 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2058 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2059 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2060 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2061 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2062 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2063 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2064[ 17, 6912, 2, "1", [ [ 27, 1 ], [ 18, 1 ], [ 9, 2 ] ], 1, "2^6:3^2:D_12", 2065 [ "Z", 2, 6 ], 2066 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2067 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2068 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2069 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2070 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2071 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2072 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2073 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2074 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2075 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2076 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2077 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2078[ 18, 6912, 2, "1", [ [ 27, 1 ], [ 18, 2 ] ], 1, "2^6:(3^2:3):4", 2079 [ "Z", 2, 6 ], 2080 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2081 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2082 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2083 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 2084 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2085 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2086 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2087 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2088 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2089 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2090 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2091 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ] ] ], 2092[ 19, 8064, 2, "1", [ [ 42, 1 ], [ 21, 1 ] ], 1, "2^6:(Sym(3) x 7:3)", 2093 [ "Z", 2, 6 ], 2094 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2095 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2096 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2097 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2098 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2099 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2100 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2101 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2102 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2103 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2104 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2105 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2106[ 20, 8064, 2, "1", [ [ 63, 1 ] ], 2, "2^6:(7 x D_18)", [ "Z", 2, 6 ], 2107 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2108 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2109 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2110 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2111 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2112 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2113 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2114 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2115 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2116 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2117 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2118 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2119[ 21, 10368, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:(3 wreath Sym(3))", 2120 [ "Z", 2, 6 ], 2121 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2122 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2123 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2124 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2125 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2126 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2127 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2128 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2129 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2130 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2131 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2132 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2133[ 22, 10368, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:(3 wreath Alt(3)):2", 2134 [ "Z", 2, 6 ], 2135 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2136 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2137 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2138 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2139 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 2140 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2141 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2142 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2143 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2144 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2145 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2146 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2147[ 23, 10368, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:(3 wreath Alt(3)):2", 2148 [ "Z", 2, 6 ], 2149 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ Z(2)^0, 0*Z(2), 2150 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2151 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2152 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2153 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2154 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2155 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2156 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2157 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2158 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2159 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2160 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2161 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2162 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2163 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 2164 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2165 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2166 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2167[ 24, 12096, 2, "1", [ [ 63, 1 ] ], 2, "2^6:7:9:3", [ "Z", 2, 6 ], 2168 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2169 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2170 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2171 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2172 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2173 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2174 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2175 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2176 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2177 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2178 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2179 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2180[ 25, 13824, 2, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:(3^2:3):Q_8", 2181 [ "Z", 2, 6 ], 2182 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2183 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2184 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2185 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2186 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2187 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ], 2188 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2189 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2190 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2191 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2192 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2193 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2194[ 26, 13824, 2, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:(3^2:3):8", 2195 [ "Z", 2, 6 ], 2196 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2197 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2198 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2199 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2200 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2201 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2202 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2203 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2204 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2205 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2206 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2207 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2208[ 27, 13824, 2, "1", [ [ 27, 1 ], [ 18, 2 ] ], 1, "2^6:(3^2:3):D_8", 2209 [ "Z", 2, 6 ], 2210 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2211 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2212 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2213 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2214 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2215 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2216 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2217 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2218 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2219 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2220 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2221 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2222[ 28, 18816, 2, "1", [ [ 14, 1 ], [ 49, 1 ] ], 1, "2^6:7:7:6", [ "Z", 2, 6 ], 2223 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2224 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2225 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2226 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2227 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2228 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2229 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2230 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2231 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2232 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2233 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2234 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2235[ 29, 18816, 2, "1", [ [ 14, 1 ], [ 49, 1 ] ], 1, "2^6:7^2:Sym(3)", 2236 [ "Z", 2, 6 ], 2237 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2238 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2239 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2240 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2241 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2242 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2243 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2244 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2245 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2246 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2247 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2248 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2249[ 30, 20736, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:3^3:D_12", 2250 [ "Z", 2, 6 ], 2251 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 2252 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2253 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2254 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2255 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2256 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 2257 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2258 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2259 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2260 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2261 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2262 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2263[ 31, 20736, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:3^3:Alt(4)", 2264 [ "Z", 2, 6 ], 2265 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2266 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2267 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2268 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2269 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2270 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 2271 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2272 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2273 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2274 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2275 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2276 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2277[ 32, 24192, 2, "1", [ [ 63, 1 ] ], 2, "2^6:7:9:6", [ "Z", 2, 6 ], 2278 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2279 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2280 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2281 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2282 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 2283 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 2284 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2285 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2286 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2287 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2288 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 2289 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2290[ 33, 27648, 2, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:(3^2:3):SD_16", 2291 [ "Z", 2, 6 ], 2292 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2293 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2294 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2295 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2296 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2297 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2298 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2299 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2300 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2301 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2302 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2303 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2304[ 34, 41472, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, 2305 "2^6:(GL(2, 2) wreath Alt(3))", [ "Z", 2, 6 ], 2306 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2307 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2308 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2309 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2310 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2311 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2312 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2313 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2314 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2315 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2316 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2317 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2318[ 35, 41472, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:3^3:Sym(4)", 2319 [ "Z", 2, 6 ], 2320 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2321 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2322 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2323 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2324 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2325 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2326 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2327 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2328 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2329 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2330 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2331 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2332[ 36, 41472, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, "2^6:3^3:Sym(4)", 2333 [ "Z", 2, 6 ], 2334 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2335 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2336 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2337 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2338 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2339 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2340 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2341 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2342 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2343 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2344 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2345 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2346[ 37, 41472, 2, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:(3^2:3):Q_8:3", 2347 [ "Z", 2, 6 ], 2348 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2349 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2350 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2351 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2352 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2353 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2354 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2355 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2356 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2357 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2358 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2359 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ] ] ], 2360[ 38, 56448, 2, "1", [ [ 14, 1 ], [ 49, 1 ] ], 1, "2^6:7^2:(3 x Sym(3))", 2361 [ "Z", 2, 6 ], 2362 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2363 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2364 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2365 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2366 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2367 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2368 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2369 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2370 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2371 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2372 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2373 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2374[ 39, 82944, 2, "1", [ [ 27, 2 ], [ 9, 1 ] ], 1, 2375 "2^6:(GL(2, 2) wreath Sym(3))", [ "Z", 2, 6 ], 2376 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2377 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2378 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2379 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2380 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2381 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2382 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2383 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2384 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2385 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2386 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2387 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2388[ 40, 82944, 2, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:(3^2:3):Q_8:Sym(3)", 2389 [ "Z", 2, 6 ], 2390 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ Z(2)^0, Z(2)^0, 2391 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2392 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2393 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2394 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2395 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 2396 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2397 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2398 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2399 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2400 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2401 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2402[ 41, 1290157424640, 0, "1", [ [ 63, 1 ] ], 3, "AGL(6, 2)", [ "Z", 2, 6 ], 2403 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2404 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2405 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2406 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2407 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2408 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2409 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2410 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2411 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2412 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2413 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2414 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ] ] ] ], 2415[ 42, 3612672, 0, "1", [ [ 14, 1 ], [ 49, 1 ] ], 1, "2^6:(GL(3, 2) wreath 2)", 2416 [ "Z", 2, 6 ], 2417 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2418 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2419 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2420 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2421 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2422 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ], 2423 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2424 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2425 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2426 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2427 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2428 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ] ] ], 2429[ 43, 23224320, 0, "1", [ [ 63, 1 ] ], 2, "AGammaL(3, 4)", [ "Z", 2, 6 ], 2430 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2431 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2432 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2433 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2434 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2435 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2436 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2437 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2438 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2439 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2440 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2441 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2442[ 44, 7741440, 0, "1", [ [ 63, 1 ] ], 2, "ASigmaL(3, 4)", [ "Z", 2, 6 ], 2443 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2444 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2445 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2446 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2447 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2448 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2449 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2450 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2451 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2452 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2453 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2454 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2455[ 45, 11612160, 0, "1", [ [ 63, 1 ] ], 2, "AGL(3, 4)", [ "Z", 2, 6 ], 2456 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2457 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2458 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2459 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2460 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2461 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2462 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2463 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2464 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2465 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2466 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2467 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2468[ 46, 3870720, 0, "1", [ [ 63, 1 ] ], 2, "ASL(3, 4)", [ "Z", 2, 6 ], 2469 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2470 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2471 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2472 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2473 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2474 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2475 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2476 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2477 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2478 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2479 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2480 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2481[ 47, 138240, 0, "1", [ [ 45, 1 ], [ 18, 1 ] ], 1, "2^6:3.Sym(6)", 2482 [ "Z", 2, 6 ], 2483 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2484 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2485 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2486 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2487 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2488 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2489 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2490 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2491 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2492 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2493 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2494 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ] ] ], 2495[ 48, 69120, 0, "1", [ [ 45, 1 ], [ 18, 1 ] ], 1, "2^6:3.Alt(6)", 2496 [ "Z", 2, 6 ], 2497 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2498 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2499 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2500 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 2501 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2502 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ], 2503 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2504 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2505 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2506 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2507 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2508 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2509[ 49, 677376, 0, "1", [ [ 63, 1 ] ], 2, "AGammaL(2, 8)", [ "Z", 2, 6 ], 2510 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2511 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2512 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2513 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2514 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2515 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ] ], 2516 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2517 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2518 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2519 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2520 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2521 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2522[ 50, 96768, 0, "1", [ [ 63, 1 ] ], 2, "ASigmaL(2, 8)", [ "Z", 2, 6 ], 2523 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2524 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2525 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2526 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2527 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2528 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2529 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2530 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2531 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2532 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2533 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2534 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2535[ 51, 225792, 0, "1", [ [ 63, 1 ] ], 2, "AGL(2, 8)", [ "Z", 2, 6 ], 2536 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2537 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2538 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2539 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2540 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2541 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2542 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2543 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2544 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2545 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2546 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2547 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2548[ 52, 32256, 0, "1", [ [ 63, 1 ] ], 2, "2^6:PSL(2, 8)", [ "Z", 2, 6 ], 2549 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2550 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2551 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2552 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2553 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2554 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2555 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2556 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2557 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2558 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2559 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2560 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2561[ 53, 64512, 0, "1", [ [ 42, 1 ], [ 21, 1 ] ], 1, "2^6:(S3 x GL(3, 2))", 2562 [ "Z", 2, 6 ], 2563 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2564 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2565 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2566 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2567 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2568 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2569 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2570 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2571 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2572 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2573 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2574 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2575[ 54, 32256, 0, "1", [ [ 42, 1 ], [ 21, 1 ] ], 1, "2^6:(3 x GL(3, 2))", 2576 [ "Z", 2, 6 ], 2577 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2578 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2579 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2580 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2581 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2582 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 2583 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2584 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2585 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2586 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ], 2587 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ], 2588 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 2589[ 55, 92897280, 0, "1", [ [ 63, 1 ] ], 2, "2^6:Sp(6, 2)", [ "Z", 2, 6 ], 2590 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2591 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2592 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2593 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2594 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2595 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2596 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2597 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2598 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2599 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2600 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2601 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2602[ 56, 3317760, 0, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:GO-(6, 2)", 2603 [ "Z", 2, 6 ], 2604 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2605 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2606 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2607 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2608 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2609 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 2610 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2611 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2612 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2613 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2614 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2615 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2616[ 57, 1658880, 0, "1", [ [ 36, 1 ], [ 27, 1 ] ], 1, "2^6:O-(6, 2)", 2617 [ "Z", 2, 6 ], 2618 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2619 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2620 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2621 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2622 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2623 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2624 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2625 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2626 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2627 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2628 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2629 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ] ] ] ], 2630[ 58, 2580480, 0, "1", [ [ 35, 1 ], [ 28, 1 ] ], 1, "2^6:Sym(8)", 2631 [ "Z", 2, 6 ], 2632 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2633 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2634 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2635 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2636 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2637 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2638 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2639 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2640 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2641 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ], 2642 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 2643 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2644[ 59, 1290240, 0, "1", [ [ 35, 1 ], [ 28, 1 ] ], 1, "2^6:Alt(8)", 2645 [ "Z", 2, 6 ], 2646 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2647 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2648 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2649 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 2650 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2651 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 2652 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2653 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2654 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2655 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2656 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2657 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ] ] ], 2658[ 60, 322560, 0, "1", [ [ 35, 1 ], [ 7, 1 ], [ 21, 1 ] ], 1, "2^6:Sym(7)", 2659 [ "Z", 2, 6 ], 2660 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2661 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2662 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2663 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2664 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2665 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ] ], 2666 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2667 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2668 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2669 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 2670 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2671 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ] ] ] ], 2672[ 61, 161280, 0, "1", [ [ 35, 1 ], [ 7, 1 ], [ 21, 1 ] ], 1, "2^6:Alt(7)", 2673 [ "Z", 2, 6 ], 2674 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2675 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2676 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2677 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 2678 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ], 2679 [ Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ] ], 2680 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2681 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2682 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2683 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2684 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0 ], 2685 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ] ] ], 2686[ 62, 774144, 0, "1", [ [ 63, 1 ] ], 2, "2^6:SigmaU(3, 3)", [ "Z", 2, 6 ], 2687 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2688 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2689 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2690 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2691 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2692 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ], 2693 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2694 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2695 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 2696 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2697 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2698 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2699[ 63, 387072, 0, "1", [ [ 63, 1 ] ], 2, "2^6:SU(3, 3)", [ "Z", 2, 6 ], 2700 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2701 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2702 [ Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2703 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2704 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 2705 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ], 2706 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2707 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2708 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2709 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2710 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2711 [ 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ] ] ] ], 2712[ 64, 21504, 0, "1", [ [ 14, 1 ], [ 28, 1 ], [ 21, 1 ] ], 1, "2^6:PGL(2, 7)", 2713 [ "Z", 2, 6 ], 2714 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 2715 Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2716 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2717 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2718 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 2719 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ] ], 2720 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2721 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 2722 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 2723 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 2724 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 2725 [ Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 2726[ 65, 812851200, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "Alt(8) wreath Sym(2)", 2727 [ "A", 8, 2 ], 2728 [ ( 1,26,12,39,43, 5,32, 9,34,44, 7,27,13,40,41, 2,28,15,35,45, 8,25,10,36, 2729 47, 3,29,16,33,42, 4,31,11,37,48)( 6,30,14,38,46)(17,50,60,23,51,61, 2730 24,49,58,20,55,59,21,56,57,18,52,63,19,53,64)(22,54,62), 2731 ( 1,46,59,37, 7,54,64,29, 2,14,60,21)( 3,38,63,53, 8,30,58,13, 4,22,57, 2732 45)( 5, 6,62,61)( 9,44,19,33,47,51,40,31,50,16,28,18)(10,12,20,17,41, 2733 43,35,39,55,56,32,26)(11,36,23,49,48,27,34,15,52,24,25,42) ] ], 2734[ 66, 1625702400, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "Alt(8)^2.2^2", 2735 [ "A", 8, 2 ], 2736 [ ( 1,53,19,41,56,11,42,32,14, 2,29,22)( 3,45,24, 9,50,27,46, 8,13,18,25,54) 2737 ( 4,61,23,33,52,59,47,40,12,58,31,38)( 5,21,17,49,51,43,48,16,10,26, 2738 30, 6)( 7,37,20,57,55,35,44,64,15,34,28,62)(36,60,63,39), 2739 ( 1,64,42,29,38,23,12,51)( 2,61,46,31,36,19, 9,56)( 3,57,48,26,37,22,15, 2740 52)( 4,59,41,32,34,21,14,55)( 5,62,47,28,35,17,16,50)( 6,63,44,27,33, 2741 24,10,53)( 7,60,43,25,40,18,13,54)( 8,58,45,30,39,20,11,49) ] ], 2742[ 67, 1625702400, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "Alt(8)^2.4", 2743 [ "A", 8, 2 ], 2744 [ ( 1,11,44,38,58,55)( 2,51,41,14,60,39)( 3,43,46,62,63, 7)( 4,35,42,54,57, 2745 15)( 5,19,48,30,61,23, 8,27,45,22,64,31)( 6,59,47)( 9,12,36,34,50,49) 2746 (10,52,33)(13,20,40,26,53,17,16,28,37,18,56,25)(21,24,32,29), 2747 ( 1,49,25,33,41,57, 9)( 2,55,32,35,42,63,16, 3,50,31,40,43,58,15, 8,51, 2748 26,39,48,59,10, 7,56,27,34,47,64,11)( 4,53,28,37,44,61,12, 5,52,29, 2749 36,45,60,13)( 6,54,30,38,46,62,14)(18,23,24,19)(20,21) ] ], 2750[ 68, 3251404800, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, 2751 "Sym(8) wreath Sym(2)", [ "A", 8, 2 ], 2752 [ ( 1,10,21,48,59, 4,26,22,56,57,12,29,46,51)( 2,18,24,64,60,28,30,54,49, 9, 2753 13,45,43, 3)( 5,42,19, 8,58,20,32,62,52,25,14,53,41,11) 2754 ( 6,50,17,16,61,44,27)( 7,34,23,40,63,36,31,38,55,33,15,37,47,35), 2755 ( 1,44,63,32,22,33,12, 7,48,62,25,20,39,16, 6,41,60,31,24,38, 9, 4,47, 2756 64,30,17,36,15, 8,46,57,28,23,40,14)( 2,43,58,27,18,35,10, 3,42,59, 2757 26,19,34,11)( 5,45,61,29,21,37,13)(49,52,55,56,54)(50,51) ] ], 2758[ 69, 56448, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "PSL(2, 7) wreath Sym(2)", 2759 [ "L", [ 2, 7 ], 2 ], 2760 [ ( 1,46,51,61)( 2,22,52,13)( 3,62,49,45)( 4,14,50,21)( 5, 6,54,53) 2761 ( 7,38,56,29)( 8,30,55,37)( 9,42,19,60)(10,18,20,12)(11,58,17,44) 2762 (15,34,24,28)(16,26,23,36)(25,47,35,64)(27,63,33,48)(31,39,40,32) 2763 (41,43,59,57), ( 1,47,25,42, 9,45)( 2,15,29)( 3,23,27,18,11,21) 2764 ( 4,63,32,50,14,37)( 5, 7,31,26,10,13)( 6,39,28,58,16,53) 2765 ( 8,55,30,34,12,61)(17,43)(20,59,24,51,22,35)(33,44,57,48,49,46) 2766 (36,60,64,56,54,38)(40,52,62) ] ], 2767[ 70, 112896, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "PSL(2, 7)^2.2^2", 2768 [ "L", [ 2, 7 ], 2 ], 2769 [ ( 1,40,11,53,23,42)( 2, 8,16,13,21,18)( 3,56,15,45,17,34)( 4,32,12,29,20, 2770 26)( 5,24,10)( 6,64,14,61,22,58)( 7,48, 9,37,19,50)(25,36,27,52,31,44 2771 )(30,60)(33,35,51,55,47,41)(38,59,54,63,46,57)(39,43,49), 2772 ( 1,13,63,24,42,30,36,51)( 2,14,60,19,41,29,39,56)( 3, 9,61,23,48,26,38, 2773 52)( 4,11,57,21,47,32,34,54)( 5,15,64,18,46,28,35,49)( 6,12,59,17,45, 2774 31,40,50)( 7,16,58,22,44,27,33,53)( 8,10,62,20,43,25,37,55) ] ], 2775[ 71, 112896, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "PSL(2, 7)^2.4", 2776 [ "L", [ 2, 7 ], 2 ], 2777 [ ( 1,11,58,33,13,50,36,45,55,20,48,31,22, 8,27,62)( 2,35,61,49,12,42,39,21, 2778 56,28,46, 7,19,64,25,14)( 3,59,57, 9,10,34,37,53,52,44,47,23,24,32, 2779 30, 6)( 4,43,63,17,16,26,38, 5,51,60,41,15,18,40,29,54), 2780 ( 1,40, 2,24)( 3,64, 7,48)( 4,56, 5,32)( 6,16)( 9,38,10,22)(11,62,15,46) 2781 (12,54,13,30)(17,33,34,18)(19,57,39,42)(20,49,37,26)(21,25,36,50) 2782 (23,41,35,58)(27,60,55,45)(28,52,53,29)(31,44,51,61)(43,59,63,47) ] ], 2783[ 72, 225792, 0, "4c", [ [ 14, 1 ], [ 49, 1 ] ], 1, "PGL(2, 7) wreath Sym(2)", 2784 [ "L", [ 2, 7 ], 2 ], 2785 [ ( 1,23,43,50,12,30,61,33, 7,19,42,52,14,29,57,39, 3,18,44,54,13,25,63,35, 2786 2,20,46,53, 9,31,59,34, 4,22,45,49,15,27,58,36, 6,21,41,55,11,26,60, 2787 38, 5,17,47,51,10,28,62,37)( 8,24,48,56,16,32,64,40), 2788 ( 1,40, 9,37,57,39,49,35,25,34,17,38)( 2,24,14, 5,64,15,53,59,31,50,19, 2789 30)( 3,32,10,21,62, 7,56,11,29,58,23,54)( 4,48,12,45,60,47,52,43,28, 2790 42,20,46)( 6, 8,16,13,61,63,55,51,27,26,18,22)(36,41) ] ], 2791[73, Factorial(64)/2,1,"2",[[63,1]],62, "Alt(64)", ["A",64, 1], "Alt"], 2792[74, Factorial(64),0,"2",[[63, 1]],64, "Sym(64)", ["A",64, 1], "Sym"]]; 2793PRIMGRP[65]:= 2794[[ 1, 7800, 1, "2", [ [ 24, 1 ], [ 30, 1 ], [ 10, 1 ] ], 1, "PSL(2, 5^2)", 2795 [ "L", [ 2, 25 ], 1 ], 2796 [ ( 1,51)( 2,36)( 3,19)( 4,54)( 5,56)( 6,38)( 7,13)( 8,46)( 9,65)(10,53) 2797 (11,12)(14,17)(15,43)(16,40)(18,60)(20,28)(22,25)(24,63)(26,50)(27,34) 2798 (29,49)(30,42)(31,37)(32,35)(33,52)(39,57)(41,61)(44,47)(45,58)(48,59) 2799 , ( 1,62,16,23, 8)( 2,38,53,52,59)( 3,55,43,28,48)( 4,51,25,32,61) 2800 ( 6,46, 9,56,15)( 7,64,27,21,41)(11,40,17,36,34)(12,65,60,47,49) 2801 (13,57,19,42,29)(14,20,37,45,39)(18,33,26,24,22)(31,44,35,63,50) ] ], 2802[ 2, 15600, 0, "2", [ [ 24, 1 ], [ 30, 1 ], [ 10, 1 ] ], 1, "PSigmaL(2, 5^2)", 2803 [ "L", [ 2, 25 ], 1 ], 2804 [ ( 1,43,28,27,52,14)( 2,38,51,13,58,44)( 3,63,33)( 4, 5,65,21,19,31) 2805 ( 6,46,17,41,47,39)( 7,50,18,16,53,20)( 8,60,30,32,22, 9) 2806 (10,15,25,37,45,24)(11,62,54,64,36,61)(12,23,40,42,29,59) 2807 (34,57,48,49,55,56), ( 1,44,55,37)( 2,63,45,52)( 3,50,49,53) 2808 ( 4,57,30,28)( 5,35,24,47)( 6,48,23,33)( 7,31,12,25)( 8,13,22,54) 2809 ( 9,29,64,20)(10,36,62,51)(11,41,21,18)(14,17,27,42)(15,19,61,65) 2810 (16,58,39,60)(26,32,59,38)(34,43)(40,46) ] ], 2811[ 3, 62400, 1, "2", [ [ 64, 1 ] ], 2, "PSU(3, 4)", [ "2A", [ 2, 4 ], 1 ], 2812 [ ( 1,58)( 2,44)( 3,40)( 4,29)( 5,14)( 6,11)( 7,65)( 8,63)( 9,25)(10,23) 2813 (12,21)(13,60)(15,42)(16,47)(18,53)(19,41)(20,39)(22,27)(24,50)(26,30) 2814 (28,35)(31,37)(32,54)(33,46)(34,49)(36,56)(38,48)(43,59)(45,55)(51,62) 2815 (52,64)(57,61), ( 1,15,12,14)( 2,29,25,42)( 3, 8,31,64)( 4,24,55,21) 2816 ( 5,30,48,43)( 6,32,34,19)( 9,40,22,20)(10,47,59,51)(11,54,44,62) 2817 (13,56,26,57)(16,63,33,39)(17,52,18,37)(23,50,35,61)(27,45,49,38) 2818 (28,41,60,46)(36,65,58,53) ] ], 2819[ 4, 124800, 0, "2", [ [ 64, 1 ] ], 2, "PSU(3, 4).2", [ "2A", [ 2, 4 ], 1 ], 2820 [ ( 1,65)( 2,59)( 3,19)( 4,40)( 5,63)( 6,10)( 7,57)( 8,32)( 9,20)(11,33) 2821 (12,24)(13,52)(14,54)(15,30)(16,47)(17,36)(18,50)(21,53)(22,55)(23,46) 2822 (25,34)(26,28)(27,48)(29,41)(31,64)(35,42)(37,60)(38,45)(39,49)(43,62) 2823 (44,51)(58,61), ( 1,17,16,63,33,48,31,15)( 2,64,21,19, 8,20,13,52) 2824 ( 3,57,55,58,36,45,28,54)( 4,40,44,24,18,65,42,23)( 5,32,37,27,47,46, 2825 14,53)( 6,39,43,26,50,41,59,34)( 7,62,25,22,56,12,49,29) 2826 ( 9,11,60,35,30,10,51,61) ] ], 2827[ 5, 249600, 0, "2", [ [ 64, 1 ] ], 2, "PGammaU(3, 4)", [ "2A", [ 2, 4 ], 1 ], 2828 [ ( 1,47)( 2,54)( 3,50)( 4,61)( 5,27)( 6,28)( 7,30)( 8,64)( 9,53)(10,49) 2829 (11,62)(12,37)(13,18)(14,42)(15,40)(16,41)(17,38)(19,34)(20,29)(21,65) 2830 (22,24)(23,58)(25,44)(26,45)(31,55)(32,60)(33,56)(35,63)(36,39)(46,57) 2831 (48,59)(51,52), ( 1,31,40,19)( 2,33,63,26)( 3,10,62,45)( 4, 5,25,18) 2832 ( 6,55,20,27)( 7,57, 8,54)( 9,35,38,53)(11,46,58,17)(12,15,23,56) 2833 (13,24,21,36)(14,59,32,50)(16,64,44,43)(22,37,60,48)(28,52,61,42) 2834 (29,39,41,51)(34,49,65,47), ( 2, 5,13,28)( 3, 8,19,43)( 4,10,24,42) 2835 ( 6,16,35,51)( 7,14,30,54)( 9,21,46,25)(11,26,49,63)(12,18,40,60) 2836 (15,32,57,62)(17,38,22,41)(20,44,23,47)(27,33,58,39)(29,52,45,59) 2837 (34,50,53,37)(36,61,55,48)(56,64) ] ], 2838[ 6, 29120, 1, "2", [ [ 64, 1 ] ], 2, "PSz(8)", [ "2B", 8, 1 ], 2839 [ ( 1,30)( 2,58)( 3, 6)( 4,61)( 5,50)( 7, 8)( 9,40)(10,56)(11,20)(12,16) 2840 (13,27)(14,53)(15,17)(18,51)(19,24)(21,34)(22,55)(23,28)(25,64)(26,60) 2841 (29,32)(31,45)(33,42)(35,54)(36,59)(37,62)(38,39)(41,43)(44,63)(46,65) 2842 (47,52)(48,49), ( 1,56,36,50)( 2,21,39, 8)( 3,64,58, 6)( 4,31,22,25) 2843 ( 5,13,53,61)( 7,55,20,30)( 9,45,15,29)(10,40,49,60)(12,63,14,44) 2844 (16,24,52,38)(17,27,18,35)(19,43,32,48)(23,33,54,26)(28,42,59,62) 2845 (34,47,57,41)(37,46,65,51) ] ], 2846[ 7, 87360, 0, "2", [ [ 64, 1 ] ], 2, "PSz(8).3", [ "2B", 8, 1 ], 2847 [ ( 1,23)( 2,38)( 3,29)( 4,11)( 5,30)( 6,10)( 7,27)( 8,17)( 9,49)(12,28) 2848 (13,51)(14,63)(15,40)(16,45)(18,44)(19,20)(21,59)(22,26)(24,35)(25,61) 2849 (31,37)(32,39)(34,60)(36,50)(41,65)(42,54)(43,62)(46,47)(48,56)(52,55) 2850 (53,58)(57,64), ( 1, 9,32)( 3,33,10)( 4,13,12)( 5,59,47)( 6, 8,21) 2851 ( 7,65,56)(11,64,46)(14,34,49)(15,38,62)(17,28,23)(18,54,44)(19,43,60) 2852 (20,57,36)(22,27,40)(24,61,31)(25,29,50)(26,42,30)(35,55,37)(39,53,63) 2853 (45,48,58) ] ], 2854[ 8, 262080, 1, "2", [ [ 64, 1 ] ], 3, "PSL(2, 2^6)", [ "L", [ 2, 64 ], 1 ], 2855 [ ( 3,54,34,14,65,22,12,23,15,18, 7,36,31,62,13,39,35,44,41,20,26,10,17,38, 2856 11, 9,43,28,16,21,60, 5, 4,19,49,64,63, 8,47,52,40,25,59,57,30,51,58, 2857 42,48,27,24,33,29,55, 6,37,32,61,50,53,45,56,46), 2858 ( 1,19, 2)( 3,15,16)( 4,43,25)( 5,20,27)( 7,30,51)( 8,54,56)( 9,40,49) 2859 (10,17,32)(11,45,39)(12,59,33)(13,41,65)(14,47,50)(18,36,35)(21,22,34) 2860 (23,52,55)(24,37,61)(26,63,57)(28,53,62)(29,46,48)(38,60,58) 2861 (42,64,44) ] ], 2862[ 9, 524160, 0, "2", [ [ 64, 1 ] ], 3, "PSL(2, 2^6).2", [ "L", [ 2, 64 ], 1 ], 2863 [ ( 1,33,56, 2,15, 3,36,63,35,21,28,24,32,46,17,26,19,62,47,27,25) 2864 ( 4,22,23, 6,12,58,45,39,65,16,38,60,11,37,31,18,64, 5,53,54, 7) 2865 ( 8,61, 9,20,43,10,51,49,29,14,57,50,59,30,44,52,48,55,41,13,40), 2866 ( 1,10,26,31, 2,28)( 3,24,13,50,58,39)( 4, 6,45,54, 5,22) 2867 ( 7,47,44,32,19,21)( 8,36,59,42,30,34)( 9,55,51)(11,48,33) 2868 (12,20,63,62,41,16)(14,64,53,52,56,27)(15,57,18)(17,37,65,29,49,35) 2869 (23,61,38,43,60,40)(25,46) ] ], 2870[ 10, 786240, 0, "2", [ [ 64, 1 ] ], 3, "PSL(2, 2^6).3", 2871 [ "L", [ 2, 64 ], 1 ], 2872 [ ( 1,27,48,54,29)( 2,64,38,52,47)( 3,23,18,32, 6)( 4,41,16,22,43) 2873 ( 5,39,44,11,19)( 7,45,36,49,60)( 8,15, 9,57,42)(10,21,34,25,63) 2874 (12,37,56,20,53)(13,61,55,62,28)(14,33,58,17,50)(24,40,30,46,35) 2875 (26,31,65,51,59), ( 1,57,50,14,28,41,27,58,25)( 2,65,20,24,36,13,19, 2876 35,42)( 3,34,32,52,54,55,43,31,18)( 4,15,17,26, 8,44, 9,51,29) 2877 ( 5,48,23,56,21,33,60,30,37)( 6,11,61,46,64,10,16,49,38) 2878 ( 7,59,12,45,62,47,63,39,22) ] ], 2879[ 11, 1572480, 0, "2", [ [ 64, 1 ] ], 3, "PGammaL(2, 2^6)", 2880 [ "L", [ 2, 64 ], 1 ], 2881 [ ( 1,61, 4,54, 3,21)( 2,18,22)( 5,27,35,31,30,47)( 6,38,13, 9,56,41) 2882 ( 7,36,29,58,59,43)( 8,33,11,37,40,49)(10,52,51,26,25,50) 2883 (12,20,65,55,16,42)(14,44,19)(15,32)(23,53,64,60,62,28) 2884 (24,45,39,46,63,48), ( 2,22,59,30,55, 8,61,19,31,50,57,53,26,60,64,34, 2885 32,54,17,39,37, 7,11,45,18,14,21,40,52,10,63,16,41,12,49, 4,62,51,46, 2886 48,35,38,29,13,44,65,43,56,24, 3,47,15,28, 6,27,58,42,33,36,23,25,20, 2887 9) ] ], 2888[12, Factorial(65)/2,1,"2",[[64,1]],63, "Alt(65)", ["A",65, 1], "Alt"], 2889[13, Factorial(65),0,"2",[[64, 1]],65, "Sym(65)", ["A",65, 1], "Sym"]]; 2890PRIMGRP[66]:= 2891[[ 1, 1320, 0, "2", [ [ 5, 1 ], [ 20, 1 ], [ 10, 4 ] ], 1, "PGL(2, 11)", 2892 [ "L", [ 2, 11 ], 1 ], 2893 [ ( 1, 2, 4, 8,14,23,35,53,17,12)( 3, 6,11,19, 5, 7,13,22,34,51) 2894 ( 9,16,27,40,52,56,44,60,41,57)(10,18,29,43,59,21,15,25,38,55) 2895 (20,32,48,63,31,46,61,30,24,36)(26,39,28,42,58)(33,50,64,37,47,45,49, 2896 54,65,66), ( 1, 3, 7)( 2, 5,10)( 4, 9,17)( 6,12,21)( 8,15,26) 2897 (11,20,33)(13,16,28)(14,24,37)(18,30,45)(19,31,47)(22,29,44)(23,27,41) 2898 (25,38,56)(32,49,35)(34,52,43)(36,54,59)(39,57,51)(40,48,50)(42,55,53) 2899 (46,62,66)(58,61,65)(60,63,64) ] ], 2900[ 2, 7920, 1, "2", [ [ 15, 1 ], [ 30, 1 ], [ 20, 1 ] ], 1, "M_11", 2901 [ "Spor", "M(11)", 1 ], 2902 [ ( 1, 2)( 3, 5)( 4, 7)( 8,11)( 9,13)(10,14)(12,17)(15,21)(16,23)(18,26) 2903 (19,27)(20,29)(24,32)(25,34)(28,38)(30,41)(31,37)(33,44)(35,42)(36,46) 2904 (40,50)(45,54)(47,56)(48,58)(49,59)(52,62)(53,63)(60,65), 2905 ( 1, 3, 6, 9)( 2, 4)( 5, 8,12,18)( 7,10,15,22)(11,16,24,33)(13,19,28,39) 2906 (14,20,30,42)(17,25,35,21)(23,31,43,52)(26,36,47,57)(27,37,48,32) 2907 (29,40,38,49)(34,45)(41,51,61,58)(44,53,64,59)(46,55)(50,60) 2908 (54,62,66,56) ] ], 2909[ 3, 95040, 1, "2", [ [ 45, 1 ], [ 20, 1 ] ], 1, "M_12", 2910 [ "Spor", "M(12)", 1 ], 2911 [ ( 1, 2)( 4, 6)( 5, 8)( 7,10)( 9,12)(11,15)(13,18)(14,19)(16,22)(17,23) 2912 (21,26)(24,29)(25,31)(28,34)(30,37)(33,39)(35,42)(36,43)(38,46)(40,47) 2913 (41,48)(44,52)(45,50)(49,56)(51,58)(53,54)(55,57)(59,62)(61,63)(64,66) 2914 , ( 1, 3, 5)( 2, 4, 7)( 6, 9,13)( 8,11,16)(10,14,20)(12,17,22) 2915 (15,21,27)(18,24,30)(19,25,32)(23,28,35)(26,33,40)(29,36,44)(31,38,39) 2916 (34,41,49)(37,45,53)(42,50,57)(43,51,59)(47,54,61)(48,55,62)(52,60,64) 2917 (58,63,65) ] ], 2918[ 4, 239500800, 1, "2", [ [ 45, 1 ], [ 20, 1 ] ], 1, "Alt(12)", 2919 [ "A", 12, 1 ], 2920 [ ( 1, 8,50, 9)( 2,51,22,60)( 3,19)( 4,45,27,43)( 5,49,61,13)( 6,57,55,20) 2921 ( 7,15,30,46)(10,24,11,26)(12,36)(14,63,42,39)(16,58,29,56) 2922 (17,33,34,59)(18,41,52,25)(21,47,66,31)(23,32,40,64)(28,65,37,35) 2923 (44,48)(54,62), ( 1, 8,12,17,39,22,28,29, 9)( 2,47,19,14,16,61,65,25, 2924 10)( 3,31,24,13,58,63,37,18,20)( 4,33,53,60, 6,27,44,62,59) 2925 ( 5, 7,23,32,43,26,35,34,49)(11,36,50,48,52,42,46,54,56) 2926 (15,30,45,57,21,41,40,38,64) ] ], 2927[ 5, 479001600, 0, "2", [ [ 45, 1 ], [ 20, 1 ] ], 1, "Sym(12)", 2928 [ "A", 12, 1 ], 2929 [ ( 1, 2, 3, 4, 5, 7,10,13,17,21,27,32)( 6, 9,12,16,20,26)( 8,11,14,18,23, 2930 22,28,33,38,43,47,51)(15,19,24,30,29,34,39,44,48,52,55,58) 2931 (25,31,36,35,40,45,49,53,56,59,61,63)(37,42,41,46,50,54,57,60,62,64, 2932 65,66), ( 4, 6)( 5, 8)(11,15)(17,22)(19,25)(21,26)(23,29)(30,35) 2933 (31,37)(36,41) ] ], 2934[6, Factorial(66)/2,1,"2",[[65,1]],64, "Alt(66)", ["A",66, 1], "Alt"], 2935[7, Factorial(66),0,"2",[[65, 1]],66, "Sym(66)", ["A",66, 1], "Sym"]]; 2936PRIMGRP[67]:= 2937[[ 1, 67, 3, "1", [ [ 1, 66 ] ], 1, "C(67)", [ "Z", 67, 1 ], [ ] ], 2938[ 2, 134, 2, "1", [ [ 2, 33 ] ], 1, "D(2*67)", [ "Z", 67, 1 ], 2939 [ [ [ Z(67)^33 ] ] ] ], 2940[ 3, 201, 2, "1", [ [ 3, 22 ] ], 1, "67:3", [ "Z", 67, 1 ], 2941 [ [ [ Z(67)^22 ] ] ] ], 2942[ 4, 402, 2, "1", [ [ 6, 11 ] ], 1, "67:6", [ "Z", 67, 1 ], 2943 [ [ [ Z(67)^11 ] ] ] ], 2944[ 5, 737, 2, "1", [ [ 11, 6 ] ], 1, "67:11", [ "Z", 67, 1 ], 2945 [ [ [ Z(67)^6 ] ] ] ], 2946[ 6, 1474, 2, "1", [ [ 22, 3 ] ], 1, "67:22", [ "Z", 67, 1 ], 2947 [ [ [ Z(67)^3 ] ] ] ], 2948[ 7, 2211, 2, "1", [ [ 33, 2 ] ], 1, "67:33", [ "Z", 67, 1 ], 2949 [ [ [ Z(67)^2 ] ] ] ], 2950[ 8, 4422, 2, "1", [ [ 66, 1 ] ], 2, "AGL(1, 67)", [ "Z", 67, 1 ], 2951 [ [ [ Z(67) ] ] ] ], 2952[9, Factorial(67)/2,1,"2",[[66,1]],65, "Alt(67)", ["A",67, 1], "Alt"], 2953[10, Factorial(67),0,"2",[[66, 1]],67, "Sym(67)", ["A",67, 1], "Sym"]]; 2954PRIMGRP[68]:= 2955[[ 1, 4080, 1, "2", [ [ 12, 1 ], [ 15, 1 ], [ 20, 2 ] ], 1, "PSL(2, 16)", 2956 [ "L", [ 2, 16 ], 1 ], 2957 [ ( 1,31)( 2,11)( 3,62)( 4,43)( 5,58)( 6,14)( 7,37)( 8,67)( 9,55)(12,15) 2958 (13,18)(16,64)(17,57)(19,27)(20,29)(21,38)(22,28)(23,26)(25,48)(30,42) 2959 (32,41)(35,66)(36,49)(39,45)(40,44)(46,63)(47,61)(50,53)(51,59)(52,65) 2960 (54,68)(56,60), ( 1,59,35)( 2,54,32)( 3,22,27)( 4,17,25)( 5,52,45) 2961 ( 7, 9,56)( 8,30,20)(10,39,47)(11,14,51)(12,68,29)(13,49,53)(15,43,31) 2962 (16,26,28)(18,65,67)(21,34,41)(23,57,44)(24,50,66)(33,61,60)(36,42,64) 2963 (37,46,48)(38,40,63) ] ], 2964[ 2, 8160, 0, "2", [ [ 12, 1 ], [ 15, 1 ], [ 20, 2 ] ], 1, "PSL(2, 16).2", 2965 [ "L", [ 2, 16 ], 1 ], 2966 [ ( 1, 5)( 2,50)( 3,39)( 4,21)( 6,33)( 7,59)( 8,60)(10,22)(11,29)(12,44) 2967 (14,24)(15,49)(16,55)(18,25)(19,67)(20,52)(23,66)(26,31)(27,46)(28,34) 2968 (32,68)(35,58)(36,47)(40,61)(53,65)(56,63), 2969 ( 1,37,13,44)( 2,32, 4,24)( 3,47,17,67)( 5,11,12,16)( 6,61,18,29) 2970 ( 7,41,53,25)( 8,10,62,27)( 9,39,28,35)(14,38,36,33)(15,21,42,26) 2971 (19,63,65,46)(20,60,57,49)(22,56,50,31)(23,34)(30,43,54,66) 2972 (40,45,55,64)(48,52)(51,59,58,68) ] ], 2973[ 3, 16320, 0, "2", [ [ 12, 1 ], [ 15, 1 ], [ 40, 1 ] ], 1, "PSigmaL(2, 16)", 2974 [ "L", [ 2, 16 ], 1 ], 2975 [ ( 2,54)( 4,13)( 5,56)( 7,45)( 8,38)( 9,52)(12,50)(14,51)(15,41)(16,28) 2976 (17,53)(20,40)(21,31)(22,27)(23,57)(24,68)(25,49)(29,66)(30,63)(33,60) 2977 (34,43)(35,59)(36,64)(37,46)(39,47)(65,67), 2978 ( 1,59,45,17,37,18,56,58,35,67,22,49)( 2,34,46,62,48,15)( 3,41,21,44,11, 2979 61,47,25,26,50,66,20)( 4,63,36,42, 8,53)( 5,32,55,12, 9,65,30,24,28, 2980 54,40,19)( 6,39,60,64)( 7,14,52)(10,38,51,29,43,13,27,33,68,57,16,31 2981 ) ] ], 2982[ 4, 150348, 1, "2", [ [ 67, 1 ] ], 2, "PSL(2, 67)", [ "L", [ 2, 67 ], 1 ], 2983 "psl" ], 2984[ 5, 300696, 0, "2", [ [ 67, 1 ] ], 3, "PGL(2, 67)", [ "L", [ 2, 67 ], 1 ], 2985 "pgl" ], 2986[6, Factorial(68)/2,1,"2",[[67,1]],66, "Alt(68)", ["A",68, 1], "Alt"], 2987[7, Factorial(68),0,"2",[[67, 1]],68, "Sym(68)", ["A",68, 1], "Sym"]]; 2988PRIMGRP[69]:= 2989[[1, Factorial(69)/2,1,"2",[[68,1]],67, "Alt(69)", ["A",69, 1], "Alt"], 2990[2, Factorial(69),0,"2",[[68, 1]],69, "Sym(69)", ["A",69, 1], "Sym"]]; 2991PRIMGRP[70]:= 2992[[1, Factorial(70)/2,1,"2",[[69,1]],68, "Alt(70)", ["A",70, 1], "Alt"], 2993[2, Factorial(70),0,"2",[[69, 1]],70, "Sym(70)", ["A",70, 1], "Sym"]]; 2994PRIMGRP[71]:= 2995[[ 1, 71, 3, "1", [ [ 1, 70 ] ], 1, "C(71)", [ "Z", 71, 1 ], [ ] ], 2996[ 2, 142, 2, "1", [ [ 2, 35 ] ], 1, "D(2*71)", [ "Z", 71, 1 ], 2997 [ [ [ Z(71)^35 ] ] ] ], 2998[ 3, 355, 2, "1", [ [ 5, 14 ] ], 1, "71:5", [ "Z", 71, 1 ], 2999 [ [ [ Z(71)^14 ] ] ] ], 3000[ 4, 497, 2, "1", [ [ 7, 10 ] ], 1, "71:7", [ "Z", 71, 1 ], 3001 [ [ [ Z(71)^10 ] ] ] ], 3002[ 5, 710, 2, "1", [ [ 10, 7 ] ], 1, "71:10", [ "Z", 71, 1 ], 3003 [ [ [ Z(71)^7 ] ] ] ], 3004[ 6, 994, 2, "1", [ [ 14, 5 ] ], 1, "71:14", [ "Z", 71, 1 ], 3005 [ [ [ Z(71)^5 ] ] ] ], 3006[ 7, 2485, 2, "1", [ [ 35, 2 ] ], 1, "71:35", [ "Z", 71, 1 ], 3007 [ [ [ Z(71)^2 ] ] ] ], 3008[ 8, 4970, 2, "1", [ [ 70, 1 ] ], 2, "AGL(1, 71)", [ "Z", 71, 1 ], 3009 [ [ [ Z(71) ] ] ] ], 3010[9, Factorial(71)/2,1,"2",[[70,1]],69, "Alt(71)", ["A",71, 1], "Alt"], 3011[10, Factorial(71),0,"2",[[70, 1]],71, "Sym(71)", ["A",71, 1], "Sym"]]; 3012PRIMGRP[72]:= 3013[[ 1, 178920, 1, "2", [ [ 71, 1 ] ], 2, "PSL(2, 71)", [ "L", [ 2, 71 ], 1 ], 3014 "psl" ], 3015[ 2, 357840, 0, "2", [ [ 71, 1 ] ], 3, "PGL(2, 71)", [ "L", [ 2, 71 ], 1 ], 3016 "pgl" ], 3017[3, Factorial(72)/2,1,"2",[[71,1]],70, "Alt(72)", ["A",72, 1], "Alt"], 3018[4, Factorial(72),0,"2",[[71, 1]],72, "Sym(72)", ["A",72, 1], "Sym"]]; 3019PRIMGRP[73]:= 3020[[ 1, 73, 3, "1", [ [ 1, 72 ] ], 1, "C(73)", [ "Z", 73, 1 ], [ ] ], 3021[ 2, 146, 2, "1", [ [ 2, 36 ] ], 1, "D(2*73)", [ "Z", 73, 1 ], 3022 [ [ [ Z(73)^36 ] ] ] ], 3023[ 3, 219, 2, "1", [ [ 3, 24 ] ], 1, "73:3", [ "Z", 73, 1 ], 3024 [ [ [ Z(73)^24 ] ] ] ], 3025[ 4, 292, 2, "1", [ [ 4, 18 ] ], 1, "73:4", [ "Z", 73, 1 ], 3026 [ [ [ Z(73)^18 ] ] ] ], 3027[ 5, 438, 2, "1", [ [ 6, 12 ] ], 1, "73:6", [ "Z", 73, 1 ], 3028 [ [ [ Z(73)^12 ] ] ] ], 3029[ 6, 584, 2, "1", [ [ 8, 9 ] ], 1, "73:8", [ "Z", 73, 1 ], 3030 [ [ [ Z(73)^9 ] ] ] ], 3031[ 7, 657, 2, "1", [ [ 9, 8 ] ], 1, "73:9", [ "Z", 73, 1 ], 3032 [ [ [ Z(73)^8 ] ] ] ], 3033[ 8, 876, 2, "1", [ [ 12, 6 ] ], 1, "73:12", [ "Z", 73, 1 ], 3034 [ [ [ Z(73)^6 ] ] ] ], 3035[ 9, 1314, 2, "1", [ [ 18, 4 ] ], 1, "73:18", [ "Z", 73, 1 ], 3036 [ [ [ Z(73)^4 ] ] ] ], 3037[ 10, 1752, 2, "1", [ [ 24, 3 ] ], 1, "73:24", [ "Z", 73, 1 ], 3038 [ [ [ Z(73)^3 ] ] ] ], 3039[ 11, 2628, 2, "1", [ [ 36, 2 ] ], 1, "73:36", [ "Z", 73, 1 ], 3040 [ [ [ Z(73)^2 ] ] ] ], 3041[ 12, 5256, 2, "1", [ [ 72, 1 ] ], 2, "AGL(1, 73)", [ "Z", 73, 1 ], 3042 [ [ [ Z(73) ] ] ] ], 3043[ 13, 16482816, 1, "2", [ [ 72, 1 ] ], 2, "L(3, 2^3)", [ "L", [ 3, 8 ], 1 ], 3044 [ ( 4,18, 8,20,69,24, 7)( 5,26,51,15,16, 6,52)( 9,66,45,43,48,12,23) 3045 (10,33,40,46,54,44,17)(11,70,29,68,30,39,63)(13,58,31,27,21,34,36) 3046 (14,28,37,32,35,59,22)(19,55,64,50,60,57,72)(25,61,41,71,42,53,67) 3047 (38,56,47,49,73,65,62), ( 1,42,72,59,58, 3, 2)( 4,40, 5,30,22,21,25) 3048 ( 6,37,36,41,68,65,20)( 7,12,55,38,24,10,56)( 8,14,13,71,26,23,70) 3049 ( 9,29,73,48,63,44,19)(11,47,28,27,53,62,39)(15,66,32,31,61,43,51) 3050 (16,45,33,52,49,50,17)(18,46,35,34,67,54,69) ] ], 3051[ 14, 49448448, 0, "2", [ [ 72, 1 ] ], 2, "L(3, 2^3):3 = PGammaL(3, 2^3)", 3052 [ "L", [ 3, 8 ], 1 ], 3053 [ ( 4,44,56,64, 6,70,45)( 5,68,48, 8,10,49,60)( 7,54,38,55,16,11,66) 3054 ( 9,24,46,62,19,15,63)(12,20,33,73,57,26,30)(13,21,58,34,31,36,27) 3055 (17,47,50,52,29,43,18)(23,69,40,65,72,51,39)(25,61,41,71,42,53,67), 3056 ( 1,42,72,59,58, 3, 2)( 4,40, 5,30,22,21,25)( 6,37,36,41,68,65,20) 3057 ( 7,12,55,38,24,10,56)( 8,14,13,71,26,23,70)( 9,29,73,48,63,44,19) 3058 (11,47,28,27,53,62,39)(15,66,32,31,61,43,51)(16,45,33,52,49,50,17) 3059 (18,46,35,34,67,54,69), ( 4,26,68)( 5,70,20)( 6,30, 8)( 7,52,63) 3060 ( 9,38,17)(10,45,73)(11,18,15)(12,49,44)(13,36,21)(14,37,22)(16,29,24) 3061 (19,55,50)(23,65,40)(25,71,41)(27,34,31)(28,35,32)(33,48,56)(39,69,51) 3062 (43,62,54)(46,66,47)(53,67,61)(57,60,64) ] ], 3063[15, Factorial(73)/2,1,"2",[[72,1]],71, "Alt(73)", ["A",73, 1], "Alt"], 3064[16, Factorial(73),0,"2",[[72, 1]],73, "Sym(73)", ["A",73, 1], "Sym"]]; 3065PRIMGRP[74]:= 3066[[ 1, 194472, 1, "2", [ [ 73, 1 ] ], 2, "PSL(2, 73)", [ "L", [ 2, 73 ], 1 ], 3067 "psl" ], 3068[ 2, 388944, 0, "2", [ [ 73, 1 ] ], 3, "PGL(2, 73)", [ "L", [ 2, 73 ], 1 ], 3069 "pgl" ], 3070[3, Factorial(74)/2,1,"2",[[73,1]],72, "Alt(74)", ["A",74, 1], "Alt"], 3071[4, Factorial(74),0,"2",[[73, 1]],74, "Sym(74)", ["A",74, 1], "Sym"]]; 3072PRIMGRP[75]:= 3073[[1, Factorial(75)/2,1,"2",[[74,1]],73, "Alt(75)", ["A",75, 1], "Alt"], 3074[2, Factorial(75),0,"2",[[74, 1]],75, "Sym(75)", ["A",75, 1], "Sym"]]; 3075PRIMGRP[76]:= 3076[[1, Factorial(76)/2,1,"2",[[75,1]],74, "Alt(76)", ["A",76, 1], "Alt"], 3077[2, Factorial(76),0,"2",[[75, 1]],76, "Sym(76)", ["A",76, 1], "Sym"]]; 3078PRIMGRP[77]:= 3079[[ 1, 443520, 1, "2", [ [ 16, 1 ], [ 60, 1 ] ], 1, "M_22", 3080 [ "Spor", "M(22)", 1 ], 3081 [ ( 1,15)( 2,27)( 4, 7)( 6,66)( 9,39)(10,51)(11,74)(12,20)(14,37)(16,58) 3082 (17,49)(18,68)(19,64)(21,67)(22,33)(23,25)(26,70)(29,61)(31,43)(34,60) 3083 (35,36)(40,73)(41,48)(42,56)(44,46)(47,63)(50,57)(52,54)(53,71)(55,62) 3084 (59,72)(69,76), ( 1,56)( 2,22,11,24)( 3,37)( 4,25)( 5,32, 7,28) 3085 ( 6,34,40,41)( 8,16,50,33)(10,58,71,45)(12,14,60,65)(13,70,44,68) 3086 (15,48,18,19)(17,27,36,31)(20,74,55,69)(21,72,46,38)(23,64,75,29) 3087 (30,66,67,43)(39,52)(42,61,51,62)(47,59,77,57)(49,73,54,76) ] ], 3088[ 2, 887040, 0, "2", [ [ 16, 1 ], [ 60, 1 ] ], 1, "M_22.2", 3089 [ "Spor", "M(22)", 1 ], 3090 [ ( 1,49,31,24,21,72,76,66,18,37)( 2,15,69,53,74,54,57, 9,52,25) 3091 ( 3,60,12,56, 7,38,41,34,46,42)( 4,65,45,77,48,58,29,35,22,73) 3092 ( 5,16,33,51,44,36,20,10,61,40)( 6,26,13,64,14)( 8,32,63,67,50,71,27, 3093 39,43,55)(11,70,62,75,47,19,23,17,68,59)(28,30), 3094 ( 1,13,42,65,23,24,61)( 2,21, 6,70,18,28,25)( 3,26,14,59,50,58,40) 3095 ( 4,77,68,66,52, 8, 9)( 5,12,56,48,53,57,45)( 7,49,20,36,16,22,29) 3096 (10,67,11,34,46,64,38)(15,76,72,33,54,74,63)(17,35,69,43,51,27,30) 3097 (19,32,55,39,71,44,47)(31,37,73,62,75,41,60) ] ], 3098[3, Factorial(77)/2,1,"2",[[76,1]],75, "Alt(77)", ["A",77, 1], "Alt"], 3099[4, Factorial(77),0,"2",[[76, 1]],77, "Sym(77)", ["A",77, 1], "Sym"]]; 3100PRIMGRP[78]:= 3101[[ 1, 1092, 1, "2", [ [ 14, 3 ], [ 7, 5 ] ], 1, "PSL(2, 13)", 3102 [ "L", [ 2, 13 ], 1 ], 3103 [ ( 1,62)( 2,65)( 3,45)( 4, 9)( 5,74)( 6,52)( 7,73)( 8,10)(11,61)(12,47) 3104 (13,75)(14,37)(15,67)(16,34)(17,58)(19,20)(21,41)(22,70)(23,26)(24,64) 3105 (25,40)(27,29)(28,68)(31,59)(32,49)(33,66)(35,38)(36,56)(39,43)(42,57) 3106 (44,77)(46,63)(48,72)(51,55)(60,71)(69,76), 3107 ( 1,34,65,43,23,21,44,38,16, 7,53,72,50)( 2,54,46,29,49,14,60,68, 9,78, 3108 35,66,61)( 3,77,18,75,55, 8,67,57,10,74,47,30,39)( 4,62,69,17,51,70, 3109 45,52, 5,31,25,73,63)( 6,71,20,19,32,22,40,64,42,37,15,56,76) 3110 (11,24,41,58,12,48,13,59,26,36,33,27,28) ] ], 3111[ 2, 2184, 0, "2", [ [ 14, 5 ], [ 7, 1 ] ], 1, "PGL(2, 13)", 3112 [ "L", [ 2, 13 ], 1 ], 3113 [ ( 2,60)( 3,70)( 4,67)( 5,75)( 6,10)( 7,64)( 8,55)( 9,24)(12,63)(14,32) 3114 (15,54)(16,36)(17,74)(18,46)(19,78)(20,65)(23,73)(25,34)(26,50)(27,44) 3115 (28,47)(29,30)(31,41)(33,53)(35,56)(38,61)(39,59)(40,62)(42,52)(43,76) 3116 (45,69)(48,66)(49,57)(68,72)(71,77), 3117 ( 1, 7,74,22,76,46,59, 3,58, 9,40, 6,55)( 2,50,73,77,39,62,53,35,26,16, 3118 48,34,41)( 4,37,63,11,78,71,27,65,38,28,32,54,33)( 5,15,13,45,12,42, 3119 51,44,30, 8,10,18,43)(14,25,20,52,67,24,49,60,36,57,70,19,69) 3120 (17,61,66,31,47,64,29,23,72,21,68,56,75) ] ], 3121[ 3, 3113510400, 1, "2", [ [ 22, 1 ], [ 55, 1 ] ], 1, "Alt(13)", 3122 [ "A", 13, 1 ], 3123 [ ( 1,61,59)( 2,31,64,51, 8,45)( 3,53,15,38,24,77,35,68,62,60) 3124 ( 4,73,48,57,74,37)( 5,17,20,26,72, 9,23,28,70,46,75,49, 7,21,30,69, 3125 67,25,47,22, 6,39,76,66,14,41,42,54,52,36)(10,55,13,11,27) 3126 (12,32,50,58,78,63)(16,34,56,65,44,43)(18,40,33,19,29), 3127 ( 1,45, 2,73,15,47,76,27,75,13,69,36,32)( 3,14,54,66,59,42,77,24,61,25, 3128 21,50,53)( 4,34,20,38,64,23,11,33,44,49,41,30,31)( 5,10,26,43,17, 6, 3129 60,74,16,28,70,37,35)( 7,40,52,67,29,19,46,58,63,56,57,71, 8) 3130 ( 9,22,65,51,48,12,68,62,78,18,55,72,39) ] ], 3131[ 4, 6227020800, 0, "2", [ [ 22, 1 ], [ 55, 1 ] ], 1, "Sym(13)", 3132 [ "A", 13, 1 ], 3133 [ ( 1, 2, 3, 5, 7,10,13,17,21,26,31,37,43)( 4, 6, 8,11,14,18,22,27,32,38,44, 3134 51,50)( 9,12,15,19,23,28,33,39,45,52,58,57,64)(16,20,24,29,34,40,46, 3135 53,59,66,65,71,75)(25,30,35,41,47,54,60,67,63,70,74,77,78) 3136 (36,42,48,55,61,68,72,49,56,62,69,73,76), 3137 ( 2, 4)( 6, 9)(12,16)(20,25)(30,36)(42,49)(43,50)(51,57)(56,63)(58,65) 3138 (66,70) ] ], 3139[5, Factorial(78)/2,1,"2",[[77,1]],76, "Alt(78)", ["A",78, 1], "Alt"], 3140[6, Factorial(78),0,"2",[[77, 1]],78, "Sym(78)", ["A",78, 1], "Sym"]]; 3141PRIMGRP[79]:= 3142[[ 1, 79, 3, "1", [ [ 1, 78 ] ], 1, "C(79)", [ "Z", 79, 1 ], [ ] ], 3143[ 2, 158, 2, "1", [ [ 2, 39 ] ], 1, "D(2*79)", [ "Z", 79, 1 ], 3144 [ [ [ Z(79)^39 ] ] ] ], 3145[ 3, 237, 2, "1", [ [ 3, 26 ] ], 1, "79:3", [ "Z", 79, 1 ], 3146 [ [ [ Z(79)^26 ] ] ] ], 3147[ 4, 474, 2, "1", [ [ 6, 13 ] ], 1, "79:6", [ "Z", 79, 1 ], 3148 [ [ [ Z(79)^13 ] ] ] ], 3149[ 5, 1027, 2, "1", [ [ 13, 6 ] ], 1, "79:13", [ "Z", 79, 1 ], 3150 [ [ [ Z(79)^6 ] ] ] ], 3151[ 6, 2054, 2, "1", [ [ 26, 3 ] ], 1, "79:26", [ "Z", 79, 1 ], 3152 [ [ [ Z(79)^3 ] ] ] ], 3153[ 7, 3081, 2, "1", [ [ 39, 2 ] ], 1, "79:39", [ "Z", 79, 1 ], 3154 [ [ [ Z(79)^2 ] ] ] ], 3155[ 8, 6162, 2, "1", [ [ 78, 1 ] ], 2, "AGL(1, 79)", [ "Z", 79, 1 ], 3156 [ [ [ Z(79) ] ] ] ], 3157[9, Factorial(79)/2,1,"2",[[78,1]],77, "Alt(79)", ["A",79, 1], "Alt"], 3158[10, Factorial(79),0,"2",[[78, 1]],79, "Sym(79)", ["A",79, 1], "Sym"]]; 3159PRIMGRP[80]:= 3160[[ 1, 246480, 1, "2", [ [ 79, 1 ] ], 2, "PSL(2, 79)", [ "L", [ 2, 79 ], 1 ], 3161 "psl" ], 3162[ 2, 492960, 0, "2", [ [ 79, 1 ] ], 3, "PGL(2, 79)", [ "L", [ 2, 79 ], 1 ], 3163 "pgl" ], 3164[3, Factorial(80)/2,1,"2",[[79,1]],78, "Alt(80)", ["A",80, 1], "Alt"], 3165[4, Factorial(80),0,"2",[[79, 1]],80, "Sym(80)", ["A",80, 1], "Sym"]]; 3166PRIMGRP[81]:= 3167[[ 1, 405, 2, "1", [ [ 5, 16 ] ], 1, "3^4:5", [ "Z", 3, 4 ], 3168 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3169 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), Z(3), Z(3) ] ], 3170 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3171 , [ Z(3), Z(3), Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3172 ] ] ], 3173[ 2, 810, 2, "1", [ [ 5, 8 ], [ 10, 4 ] ], 1, "3^4:D_10", [ "Z", 3, 4 ], 3174 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3175 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), Z(3) ] ], 3176 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3177 , [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), Z(3) ] 3178 ] ] ], 3179[ 3, 810, 2, "1", [ [ 10, 8 ] ], 1, "3^4:10", [ "Z", 3, 4 ], 3180 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3181 [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ], [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] 3182 , 3183 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ], 3184 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3185 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3186[ 4, 1296, 2, "1", [ [ 16, 1 ], [ 8, 8 ] ], 1, "3^4:D_16", [ "Z", 3, 4 ], 3187 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3188 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3189 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3190 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3191 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3192 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3193[ 5, 1296, 2, "1", [ [ 16, 4 ], [ 8, 2 ] ], 1, "3^4:SA_16", [ "Z", 3, 4 ], 3194 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3195 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3196 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3197 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3198 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3199 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3200[ 6, 1296, 2, "1", [ [ 16, 2 ], [ 8, 6 ] ], 1, "3^4:Q_8:2", [ "Z", 3, 4 ], 3201 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3202 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3203 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3204 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3205 , [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3206 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3207 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3208 , [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3209 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3210[ 7, 1296, 2, "1", [ [ 16, 5 ] ], 1, "3^4:16", [ "Z", 3, 4 ], 3211 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3212 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3213 [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ] ] ] ], 3214[ 8, 1296, 2, "1", [ [ 16, 5 ] ], 1, "3^4:SD_16", [ "Z", 3, 4 ], 3215 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3216 [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] 3217 , 3218 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] 3219 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3220 [ 0*Z(3), Z(3), Z(3), 0*Z(3) ] ] ] ], 3221[ 9, 1620, 2, "1", [ [ 10, 8 ] ], 1, "3^4:D_20", [ "Z", 3, 4 ], 3222 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3223 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3224 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3225 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3226 , [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3227 [ Z(3), Z(3)^0, Z(3)^0, Z(3) ] ] ] ], 3228[ 10, 1620, 2, "1", [ [ 20, 4 ] ], 1, "3^4:5:4", [ "Z", 3, 4 ], 3229 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3230 [ 0*Z(3), Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ] ], 3231 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3232 , [ Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3233 [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ] ] ] ], 3234[ 11, 1620, 2, "1", [ [ 20, 4 ] ], 1, "3^4:20", [ "Z", 3, 4 ], 3235 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3236 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ] ] 3237 , 3238 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3239 [ 0*Z(3), Z(3), Z(3), Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] 3240 ], 3241[ 12, 1620, 2, "1", [ [ 5, 2 ], [ 20, 2 ], [ 10, 3 ] ], 1, "3^4:5:4", 3242 [ "Z", 3, 4 ], 3243 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3244 [ Z(3), Z(3), Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3245 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3246 , [ Z(3), Z(3), Z(3), Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3247 ] ] ], 3248[ 13, 2592, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, "3^4:SA_16:2", 3249 [ "Z", 3, 4 ], 3250 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3251 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3252 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3253 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3), Z(3), Z(3) ], 3254 [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3255 ] ] ], 3256[ 14, 2592, 2, "1", [ [ 16, 1 ], [ 8, 4 ], [ 32, 1 ] ], 1, "3^4:2^2:4:2", 3257 [ "Z", 3, 4 ], 3258 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3259 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3260 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3261 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3262 , [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3263 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3264[ 15, 2592, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, "3^4:SA_16:2", 3265 [ "Z", 3, 4 ], 3266 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3267 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3268 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3269 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3270 , [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3271 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 3272[ 16, 2592, 2, "1", [ [ 8, 6 ], [ 32, 1 ] ], 1, "3^4:2^3:2^2", [ "Z", 3, 4 ], 3273 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3274 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3275 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3276 [ [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3277 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3278 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3279 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3280 , [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3281 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3282 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3283 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3284 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 3285[ 17, 2592, 2, "1", [ [ 16, 4 ], [ 8, 2 ] ], 1, "3^4:D_16:2", [ "Z", 3, 4 ], 3286 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3287 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3288 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3289 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3290 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3291 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ], 3292 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3293 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] 3294 ] ] ], 3295[ 18, 2592, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:2^(2+2+1)", 3296 [ "Z", 3, 4 ], 3297 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3298 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ] 3299 , 3300 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] 3301 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3302 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3303[ 19, 2592, 2, "1", [ [ 16, 3 ], [ 32, 1 ] ], 1, "3^4:Q_16:2", [ "Z", 3, 4 ], 3304 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3305 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 3306 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3307 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3308 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3309 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ], 3310 [ [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], 3311 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3312 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3313[ 20, 2592, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:2^(2+1+2)", 3314 [ "Z", 3, 4 ], 3315 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3316 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ] 3317 , 3318 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3319 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3320 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ], 3321[ 21, 2592, 2, "1", [ [ 16, 5 ] ], 1, "3^4:D_16:2", [ "Z", 3, 4 ], 3322 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3323 [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), Z(3) ] ], 3324 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3325 [ 0*Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ] ] 3326 , 3327 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3328 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3329 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3330[ 22, 2592, 2, "1", [ [ 16, 5 ] ], 1, "3^4:(2 x Q_8):2", [ "Z", 3, 4 ], 3331 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3332 [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3333 [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ], 3334 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3335 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3336 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ], 3337 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3338 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] 3339 , 3340 [ [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] 3341 , [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3342 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3343[ 23, 2592, 2, "1", [ [ 16, 3 ], [ 32, 1 ] ], 1, "3^4:SA_16:2", 3344 [ "Z", 3, 4 ], 3345 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3346 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ] ] 3347 , 3348 [ [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3349 , [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ], 3350 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3351 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3352 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3353 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3354[ 24, 2592, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:SA_32", [ "Z", 3, 4 ], 3355 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 3356 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ] ], 3357 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3358 , [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3359 [ Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3360[ 25, 3240, 2, "1", [ [ 40, 2 ] ], 1, "3^4:40", [ "Z", 3, 4 ], 3361 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 3362 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] 3363 , 3364 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3365 , [ Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, Z(3) ] ] 3366 ] ], 3367[ 26, 3240, 2, "1", [ [ 20, 3 ], [ 10, 2 ] ], 1, "3^4:(2 x 5:4)", 3368 [ "Z", 3, 4 ], 3369 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3370 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3371 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3372 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3373 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ], 3374 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3375[ 27, 3240, 2, "1", [ [ 40, 2 ] ], 1, "3^4:5:8", [ "Z", 3, 4 ], 3376 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3377 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ] ] 3378 , 3379 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3380 , [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3381 [ Z(3), Z(3)^0, Z(3), Z(3)^0 ] ] ] ], 3382[ 28, 3240, 2, "1", [ [ 20, 4 ] ], 1, "3^4:(4 x D_10)", [ "Z", 3, 4 ], 3383 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3384 [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] 3385 , 3386 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3387 , [ 0*Z(3), Z(3), Z(3), Z(3) ], 3388 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 3389[ 29, 3240, 2, "1", [ [ 40, 2 ] ], 1, "3^4:5:8", [ "Z", 3, 4 ], 3390 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3391 [ Z(3), Z(3)^0, 0*Z(3), Z(3) ], [ Z(3), Z(3), Z(3)^0, 0*Z(3) ] ], 3392 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3393 , [ Z(3)^0, Z(3), Z(3), Z(3) ], 3394 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3395[ 30, 3888, 2, "1", [ [ 48, 1 ], [ 16, 2 ] ], 1, "3^4:Q_8.Sym(3)", 3396 [ "Z", 3, 4 ], 3397 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3398 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 3399 [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ], 3400 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3401 , [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3402 [ 0*Z(3), Z(3), Z(3), 0*Z(3) ] ] ] ], 3403[ 31, 3888, 2, "1", [ [ 24, 2 ], [ 16, 2 ] ], 1, "3^4:(Q_8:3):2", 3404 [ "Z", 3, 4 ], 3405 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3406 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ], 3407 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3408 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3409 , [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 3410 [ 0*Z(3), Z(3), 0*Z(3), Z(3) ] ] ] ], 3411[ 32, 5184, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, 3412 "3^4:(GL(1, 3) wreath 4)", [ "Z", 3, 4 ], 3413 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3414 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3415 [ 0*Z(3), Z(3), Z(3)^0, Z(3)^0 ] ], 3416 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ] 3417 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3418 [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ] ] ] ], 3419[ 33, 5184, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, "3^4:4^2:4", 3420 [ "Z", 3, 4 ], 3421 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3422 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3423 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3424 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3425 , [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3426 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3427[ 34, 5184, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, "3^4:Q_8:D_8", 3428 [ "Z", 3, 4 ], 3429 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3430 [ Z(3)^0, Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ] ] 3431 , 3432 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3433 , [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3434 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3435 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3436 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] 3437 ] ] ], 3438[ 35, 5184, 2, "1", [ [ 16, 1 ], [ 8, 4 ], [ 32, 1 ] ], 1, "3^4:2^3:D_8", 3439 [ "Z", 3, 4 ], 3440 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3441 [ Z(3)^0, Z(3), Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ] ], 3442 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], 3443 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3444 , 3445 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], 3446 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3)^0, Z(3) ] ] ] 3447 ], 3448[ 36, 5184, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:8.D_8", [ "Z", 3, 4 ], 3449 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3450 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3451 , 3452 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3453 , [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3454 [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3455[ 37, 5184, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:2^(2+3+1)", 3456 [ "Z", 3, 4 ], 3457 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3458 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3459 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ], 3460 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3461 , [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3462 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3463[ 38, 5184, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:D_16:4", [ "Z", 3, 4 ], 3464 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3465 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3466 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3467 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3468 , [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3469 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3470[ 39, 5184, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:D_16:4", [ "Z", 3, 4 ], 3471 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3472 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] 3473 , 3474 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3475 , [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3476 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ] ], 3477 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), 0*Z(3) ], 3478 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), Z(3) ] 3479 ] ] ], 3480[ 40, 5184, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:2^(2+2+2)", 3481 [ "Z", 3, 4 ], 3482 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3483 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3484 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 3485 [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), Z(3) ] ], 3486 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3487 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3488 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3489[ 41, 5184, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:16:4", [ "Z", 3, 4 ], 3490 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3491 [ 0*Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ] ], 3492 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3493 , [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3494 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3495[ 42, 5184, 2, "1", [ [ 16, 3 ], [ 32, 1 ] ], 1, "3^4:D_16:4", [ "Z", 3, 4 ], 3496 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 3497 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] 3498 , 3499 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3500 , [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3501 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3502 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3503 , [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3504 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3505 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3506 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ], 3507 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3508[ 43, 5184, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:(SA_16:2):2", 3509 [ "Z", 3, 4 ], 3510 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3511 [ Z(3)^0, Z(3), Z(3), Z(3) ], [ 0*Z(3), Z(3), Z(3), Z(3)^0 ] ], 3512 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 3513 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ] ] 3514 , 3515 [ [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ], 3516 [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 3517 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3518[ 44, 6480, 2, "1", [ [ 80, 1 ] ], 2, "3^4:5:16", [ "Z", 3, 4 ], 3519 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3520 [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3521 [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3522 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 3523 [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3)^0 ], [ 0*Z(3), Z(3), Z(3)^0, Z(3) ] 3524 ] ] ], 3525[ 45, 6480, 2, "1", [ [ 40, 2 ] ], 1, "3^4:(8 x D_10)", [ "Z", 3, 4 ], 3526 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3527 [ Z(3)^0, Z(3)^0, Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ] 3528 , 3529 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3530 , [ Z(3), Z(3)^0, Z(3), Z(3)^0 ], 3531 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 3532[ 46, 6480, 2, "1", [ [ 40, 1 ], [ 20, 2 ] ], 1, "3^4:20:4", [ "Z", 3, 4 ], 3533 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3534 [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ], [ Z(3), Z(3), 0*Z(3), Z(3)^0 ] ] 3535 , 3536 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3537 , [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 3538 [ Z(3), Z(3)^0, Z(3), Z(3)^0 ] ] ] ], 3539[ 47, 6480, 2, "1", [ [ 80, 1 ] ], 2, "3^4:80", [ "Z", 3, 4 ], 3540 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3541 [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, Z(3), Z(3) ] ], 3542 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], 3543 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, Z(3) ] ] 3544 ] ], 3545[ 48, 6480, 2, "1", [ [ 40, 2 ] ], 1, "3^4:5:SA_16", [ "Z", 3, 4 ], 3546 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3547 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3548 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3549 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3550 , [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ], 3551 [ Z(3), Z(3), Z(3)^0, Z(3) ] ] ] ], 3552[ 49, 7776, 2, "1", [ [ 24, 1 ], [ 8, 3 ], [ 32, 1 ] ], 1, "3^4:2^3:Alt(4)", 3553 [ "Z", 3, 4 ], 3554 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3555 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3556 , 3557 [ [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3558 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3559 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3560 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3561 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3562 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] ] ], 3563[ 50, 7776, 2, "1", [ [ 24, 2 ], [ 16, 2 ] ], 1, "3^4:(Q_8:2):Sym(3)", 3564 [ "Z", 3, 4 ], 3565 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3566 [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3567 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3568 [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3569 ] ] ], 3570[ 51, 7776, 2, "1", [ [ 48, 1 ], [ 16, 2 ] ], 1, "3^4:Q_8.Sym(3):2", 3571 [ "Z", 3, 4 ], 3572 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3573 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ], 3574 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] ], 3575 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3576 , [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ], 3577 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ], 3578[ 52, 7776, 2, "1", [ [ 48, 1 ], [ 16, 2 ] ], 1, "3^4:(2 x Q_8):6", 3579 [ "Z", 3, 4 ], 3580 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3581 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 3582 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3583 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3584 , [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 3585 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 3586[ 53, 7776, 2, "1", [ [ 48, 1 ], [ 16, 2 ] ], 1, "3^4:Q_8.Sym(3):2", 3587 [ "Z", 3, 4 ], 3588 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3589 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ], 3590 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3591 , [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 3592 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ], 3593[ 54, 7776, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(SA_16:2):3", 3594 [ "Z", 3, 4 ], 3595 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ], 3596 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] 3597 , 3598 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3599 , [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3600 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 3601[ 55, 7776, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:(Q_8:3):2^2", 3602 [ "Z", 3, 4 ], 3603 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3604 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ] ] 3605 , 3606 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ], 3607 [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 3608 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ] ] ] ], 3609[ 56, 7776, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:Q_8.Sym(3):2", 3610 [ "Z", 3, 4 ], 3611 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), 0*Z(3) ], 3612 [ Z(3)^0, Z(3)^0, Z(3), Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3) ] ], 3613 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3614 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3615 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3616[ 57, 7776, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:(Q_8:3):4", 3617 [ "Z", 3, 4 ], 3618 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3619 [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3), Z(3)^0 ] ], 3620 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), Z(3) ], 3621 [ Z(3), Z(3)^0, Z(3)^0, Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ] ] 3622 ] ], 3623[ 58, 10368, 2, "1", [ [ 16, 2 ], [ 8, 2 ], [ 32, 1 ] ], 1, 3624 "3^4:(GL(1, 3) wreath D_4)", [ "Z", 3, 4 ], 3625 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3626 [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3627 , 3628 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3629 , [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 3630 [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ] ], 3631 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3632 , [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3633 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3634[ 59, 10368, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:Q_16:D_8", 3635 [ "Z", 3, 4 ], 3636 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 3637 [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3), Z(3)^0 ] ], 3638 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], 3639 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, Z(3) ] ], 3640 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ] 3641 , [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ], 3642 [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ] ], 3643 [ [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], 3644 [ Z(3), Z(3)^0, Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] 3645 ] ], 3646[ 60, 10368, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:(4 x 8):4", 3647 [ "Z", 3, 4 ], 3648 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3649 [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, Z(3), Z(3) ] ], 3650 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3651 , [ Z(3), Z(3), 0*Z(3), Z(3)^0 ], 3652 [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ] ] ] ], 3653[ 61, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:2^(2+3+1+1)", 3654 [ "Z", 3, 4 ], 3655 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3656 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3657 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ] ], 3658 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3659 , [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3660 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3661[ 62, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:8.D_8:2", 3662 [ "Z", 3, 4 ], 3663 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3664 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 3665 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3666 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3667 , [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3668 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3669[ 63, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:2^(2+3+1+1)", 3670 [ "Z", 3, 4 ], 3671 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3672 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3673 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3674 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 3675 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ], 3676 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 3677[ 64, 10368, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, "3^4:2^(3+4):4", 3678 [ "Z", 3, 4 ], 3679 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3680 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3681 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] ], 3682 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3683 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ], 3684 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3685[ 65, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:D_16:Q_8", 3686 [ "Z", 3, 4 ], 3687 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3688 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3689 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3690 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3691 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3692 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3693 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3694 [ 0*Z(3), Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3695 ] ], 3696[ 66, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:2^(2+3+1+1)", 3697 [ "Z", 3, 4 ], 3698 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3699 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ] ], 3700 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3701 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3702 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ], 3703 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3704 , [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 3705 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 3706[ 67, 10368, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:D_16:8", 3707 [ "Z", 3, 4 ], 3708 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3709 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] 3710 , 3711 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3712 , [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3713 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3714[ 68, 12960, 2, "1", [ [ 40, 2 ] ], 1, "3^4:40:4", [ "Z", 3, 4 ], 3715 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3716 [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3717 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3718 , [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ], 3719 [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3)^0 ] ] ] ], 3720[ 69, 12960, 2, "1", [ [ 80, 1 ] ], 2, "3^4:5:2^(2+1+2)", [ "Z", 3, 4 ], 3721 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3722 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ] ] 3723 , [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), Z(3), Z(3) ], 3724 [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ], 3725 [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 3726[ 70, 12960, 2, "1", [ [ 80, 1 ] ], 2, "3^4:16:D_10", [ "Z", 3, 4 ], 3727 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3728 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], [ Z(3), Z(3), Z(3)^0, Z(3) ] ], 3729 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3730 , [ Z(3), 0*Z(3), Z(3), Z(3)^0 ], 3731 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3732[ 71, 12960, 2, "1", [ [ 80, 1 ] ], 2, "3^4:((2x Q_8):2):5", 3733 [ "Z", 3, 4 ], 3734 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ], 3735 [ Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] ], 3736 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3737 , [ Z(3), Z(3)^0, Z(3)^0, Z(3) ], 3738 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3739[ 72, 15552, 2, "1", [ [ 24, 1 ], [ 16, 1 ], [ 8, 1 ], [ 32, 1 ] ], 1, 3740 "3^4:(GL(1, 3) wreath Alt(4))", [ "Z", 3, 4 ], 3741 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3742 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3743 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3744 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3745 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3746 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 3747[ 73, 15552, 2, "1", [ [ 24, 1 ], [ 16, 1 ], [ 8, 1 ], [ 32, 1 ] ], 1, 3748 "3^4:Q_8:Sym(4)", [ "Z", 3, 4 ], 3749 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3750 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3751 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3752 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3753 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] 3754 ] ] ], 3755[ 74, 15552, 2, "1", [ [ 24, 1 ], [ 8, 3 ], [ 32, 1 ] ], 1, "3^4:2^3:Sym(4)", 3756 [ "Z", 3, 4 ], 3757 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3758 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 3759 , 3760 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3761 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3762 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3763[ 75, 15552, 2, "1", [ [ 48, 1 ], [ 16, 2 ] ], 1, "3^4:(2 x Q_8):Alt(4)", 3764 [ "Z", 3, 4 ], 3765 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3766 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], 3767 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ], 3768 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ] 3769 , [ 0*Z(3), 0*Z(3), Z(3), Z(3) ], 3770 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3771 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3772 , [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3773 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3774[ 76, 15552, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:2^(3+2):Sym(3)", 3775 [ "Z", 3, 4 ], 3776 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3777 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), Z(3) ] ], 3778 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], 3779 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3780 [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ] ] ] ], 3781[ 77, 15552, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(Q_8.Sym(3):2):2", 3782 [ "Z", 3, 4 ], 3783 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3784 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ] 3785 , 3786 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3787 , [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], 3788 [ Z(3), Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 3789[ 78, 15552, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(SA_16:2):6", 3790 [ "Z", 3, 4 ], 3791 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3792 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ], 3793 [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ] ], 3794 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ] 3795 , [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3796 [ Z(3)^0, Z(3), Z(3), 0*Z(3) ] ] ] ], 3797[ 79, 15552, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(SA_16:2):6", 3798 [ "Z", 3, 4 ], 3799 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3800 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), Z(3)^0, Z(3)^0 ] ] 3801 , 3802 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 3803 , [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3804 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 3805[ 80, 15552, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:Q_8.Sym(3):4", 3806 [ "Z", 3, 4 ], 3807 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3808 [ 0*Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3)^0, Z(3) ] ], 3809 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3810 [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ] ] 3811 ] ], 3812[ 81, 15552, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:Q_8.Sym(3):2^2", 3813 [ "Z", 3, 4 ], 3814 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3815 [ Z(3), Z(3), Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ], 3816 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] 3817 , [ Z(3)^0, Z(3), Z(3), 0*Z(3) ], 3818 [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ], 3819 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 3820 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 3821 [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 3822[ 82, 20736, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:2^(2+3+1+2)", 3823 [ "Z", 3, 4 ], 3824 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 3825 [ 0*Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ] ] 3826 , 3827 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3828 , [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3829 [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ] ], 3830 [ [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3), Z(3)^0, Z(3)^0 ], 3831 [ Z(3)^0, Z(3), Z(3), Z(3)^0 ], [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] 3832 ] ], 3833[ 83, 20736, 2, "1", [ [ 16, 1 ], [ 32, 2 ] ], 1, 3834 "3^4:(GL(1, 3) wreath D_4):2", [ "Z", 3, 4 ], 3835 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3836 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 3837 [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ], 3838 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3839 , [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3840 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ], 3841 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3842 [ 0*Z(3), Z(3), Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ] ] 3843 ] ], 3844[ 84, 20736, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:4", 3845 [ "Z", 3, 4 ], 3846 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3847 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ], 3848 [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ] ], 3849 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3850 , [ Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3851 [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 3852[ 85, 20736, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:8^2:4", [ "Z", 3, 4 ], 3853 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3854 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3855 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ], 3856 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 3857 [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0, Z(3), Z(3) ] ] 3858 ] ], 3859[ 86, 20736, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:8^2:4", [ "Z", 3, 4 ], 3860 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3861 [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], 3862 [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ] ], 3863 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], 3864 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3865 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], 3866 [ 0*Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3)^0, Z(3), Z(3)^0, Z(3) ] ] ] 3867 ], 3868[ 87, 20736, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:(8.D_8:2):2", 3869 [ "Z", 3, 4 ], 3870 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3871 [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ] ] 3872 , 3873 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], 3874 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, Z(3) ] ] 3875 ] ], 3876[ 88, 23328, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:SL(2, 3):Alt(4)", 3877 [ "Z", 3, 4 ], 3878 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ], 3879 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3), Z(3), Z(3)^0 ] ] 3880 , 3881 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 3882 , [ Z(3), Z(3), Z(3), Z(3)^0 ], 3883 [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ] ] ] ], 3884[ 89, 25920, 2, "1", [ [ 80, 1 ] ], 2, "3^4:16:5:4", [ "Z", 3, 4 ], 3885 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3886 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0, Z(3), Z(3) ] ] 3887 , 3888 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3889 , [ 0*Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3), 0*Z(3), Z(3)^0, Z(3) ] 3890 ] ] ], 3891[ 90, 25920, 2, "1", [ [ 80, 1 ] ], 2, "3^4:((2 x Q_8):2):D_10", 3892 [ "Z", 3, 4 ], 3893 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3894 [ Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ] ], 3895 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ], 3896 [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 3897 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 3898[ 91, 31104, 2, "1", [ [ 24, 1 ], [ 16, 1 ], [ 8, 1 ], [ 32, 1 ] ], 1, 3899 "3^4:(GL(1, 3) wreath Sym(4))", [ "Z", 3, 4 ], 3900 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3901 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3902 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ], 3903 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3904 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 3905 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 3906[ 92, 31104, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:6", 3907 [ "Z", 3, 4 ], 3908 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 3909 [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 3910 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ], 3911 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 3912 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3913 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3914[ 93, 31104, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:Sym(3)", 3915 [ "Z", 3, 4 ], 3916 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3917 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], 3918 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3919 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), Z(3), Z(3)^0 ], 3920 [ Z(3), Z(3)^0, Z(3), Z(3)^0 ], [ Z(3), Z(3), 0*Z(3), Z(3) ] ] ] ], 3921[ 94, 31104, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:GL(2, 3):D_8", 3922 [ "Z", 3, 4 ], 3923 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3924 [ Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ] ], 3925 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ] 3926 , [ 0*Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3), Z(3), 0*Z(3) ] ] 3927 , 3928 [ [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3), 0*Z(3) ], 3929 [ Z(3)^0, Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ] ] 3930 ] ], 3931[ 95, 41472, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:8^2:D_8", 3932 [ "Z", 3, 4 ], 3933 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3934 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 3935 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ], 3936 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3937 , [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], 3938 [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 3939 [ [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3940 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3), Z(3), 0*Z(3) ] ] ] 3941 ], 3942[ 96, 46656, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:SL(2, 3):Sym(4)", 3943 [ "Z", 3, 4 ], 3944 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3945 [ Z(3), 0*Z(3), Z(3), Z(3)^0 ], [ Z(3), Z(3), 0*Z(3), Z(3) ] ], 3946 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), 0*Z(3), Z(3) ], 3947 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ] ] 3948 , [ [ 0*Z(3), Z(3), Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), Z(3)^0 ], 3949 [ 0*Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3), Z(3), 0*Z(3), Z(3) ] ] ] ], 3950[ 97, 46656, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:(2^3:Alt(4)):Sym(3)", 3951 [ "Z", 3, 4 ], 3952 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3953 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3954 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 3955 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ], 3956 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ] 3957 ] ] ], 3958[ 98, 46656, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, 3959 "3^4:GL(2, 3):(3 x Sym(3))", [ "Z", 3, 4 ], 3960 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 3961 [ 0*Z(3), 0*Z(3), Z(3), Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ] ], 3962 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3963 , [ Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ Z(3)^0, 0*Z(3), Z(3), Z(3) ] 3964 ] ] ], 3965[ 99, 51840, 2, "1", [ [ 80, 1 ] ], 2, "3^4:((2 x Q_8):2):5:4", 3966 [ "Z", 3, 4 ], 3967 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3968 [ Z(3), 0*Z(3), Z(3), Z(3)^0 ], [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ] ], 3969 [ [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3970 [ Z(3)^0, Z(3), Z(3), Z(3) ], [ Z(3), Z(3), Z(3), 0*Z(3) ] ] ] ], 3971[ 100, 62208, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:D_12", 3972 [ "Z", 3, 4 ], 3973 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3974 [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 3975 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ], 3976 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3977 , [ Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3978 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 3979[ 101, 93312, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:(SL(2, 3) wreath 2)", 3980 [ "Z", 3, 4 ], 3981 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3982 [ Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3), Z(3), Z(3)^0, Z(3)^0 ] ], 3983 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3984 , [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], 3985 [ 0*Z(3), Z(3), 0*Z(3), Z(3) ] ] ] ], 3986[ 102, 93312, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:GL(2, 3):Sym(4)", 3987 [ "Z", 3, 4 ], 3988 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3989 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 3990 [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ] ], 3991 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 3992 [ Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3)^0, Z(3), Z(3), Z(3)^0 ] ] ] ], 3993[ 103, 93312, 2, "1", [ [ 24, 2 ], [ 32, 1 ] ], 1, "3^4:(2^3:Alt(4)):Sym(3)", 3994 [ "Z", 3, 4 ], 3995 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 3996 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ] 3997 , 3998 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 3999 , [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3) ], 4000 [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ] ] ] ], 4001[ 104, 93312, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(2^3:2^2):(3^2:4)", 4002 [ "Z", 3, 4 ], 4003 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4004 [ Z(3), Z(3), Z(3)^0, Z(3)^0 ], [ 0*Z(3), Z(3), Z(3), Z(3)^0 ] ], 4005 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4006 , [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], 4007 [ Z(3), Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 4008[ 105, 186624, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:3^2:4", 4009 [ "Z", 3, 4 ], 4010 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4011 [ Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), Z(3) ] ], 4012 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, 0*Z(3), Z(3) ], 4013 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ] 4014 ] ] ], 4015[ 106, 186624, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:Q_8^2:Sym(3)^2", 4016 [ "Z", 3, 4 ], 4017 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4018 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] 4019 , 4020 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4021 , [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], 4022 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ], 4023[ 107, 186624, 2, "1", [ [ 48, 1 ], [ 32, 1 ] ], 1, "3^4:(2^3:2^2):3^2:D_8", 4024 [ "Z", 3, 4 ], 4025 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4026 [ Z(3), Z(3)^0, Z(3)^0, Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] ], 4027 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4028 , [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 4029 [ Z(3)^0, Z(3)^0, Z(3), Z(3) ] ] ] ], 4030[ 108, 373248, 2, "1", [ [ 16, 1 ], [ 64, 1 ] ], 1, "3^4:(GL(2, 3) wreath 2)", 4031 [ "Z", 3, 4 ], 4032 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4033 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), Z(3), Z(3) ] ], 4034 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4035 , [ Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 4036 [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 4037[ 109, 1965150720, 0, "1", [ [ 80, 1 ] ], 2, "AGL(4, 3)", [ "Z", 3, 4 ], 4038 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4039 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 4040 [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ] ], 4041 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4042 , [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 4043 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 4044[ 110, 982575360, 0, "1", [ [ 80, 1 ] ], 2, "ASL(4, 3)", [ "Z", 3, 4 ], 4045 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4046 [ Z(3), Z(3), Z(3), Z(3) ], [ Z(3), Z(3)^0, 0*Z(3), Z(3) ] ], 4047 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3), Z(3)^0, Z(3)^0 ], 4048 [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ], 4049 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ] ] ] ], 4050[ 111, 58320, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2.Alt(6)", [ "Z", 3, 4 ], 4051 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4052 [ 0*Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), Z(3)^0 ] ], 4053 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), 0*Z(3), 0*Z(3) ], 4054 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 4055 [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 4056[ 112, 116640, 0, "1", [ [ 80, 1 ] ], 2, "3^4:4.Alt(6)", [ "Z", 3, 4 ], 4057 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ], 4058 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], [ 0*Z(3), Z(3), Z(3), Z(3) ] ], 4059 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4060 , [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 4061 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ] ] ] ], 4062[ 113, 116640, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2.Sym(6)", [ "Z", 3, 4 ], 4063 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4064 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3), Z(3), 0*Z(3) ] ], 4065 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4066 , [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ], 4067 [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 4068[ 114, 233280, 0, "1", [ [ 80, 1 ] ], 2, "3^4:8.Alt(6)", [ "Z", 3, 4 ], 4069 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4070 [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ] ], 4071 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], 4072 [ Z(3)^0, 0*Z(3), Z(3), Z(3) ], [ Z(3), Z(3), 0*Z(3), Z(3)^0 ] ] ] 4073 ], 4074[ 115, 233280, 0, "1", [ [ 80, 1 ] ], 2, "3^4:SL(2, 9):2^2", [ "Z", 3, 4 ], 4075 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4076 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ] ], 4077 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4078 , [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 4079 [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 4080[ 116, 233280, 0, "1", [ [ 80, 1 ] ], 2, "3^4:4.Alt(6).2", [ "Z", 3, 4 ], 4081 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 4082 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4083 [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ] ], 4084 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4085 , [ Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ] 4086 ] ] ], 4087[ 117, 466560, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2.Alt(6):D_8", [ "Z", 3, 4 ], 4088 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4089 [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3), 0*Z(3), Z(3)^0 ] ], 4090 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4091 , [ Z(3), Z(3), Z(3)^0, Z(3)^0 ], [ Z(3), 0*Z(3), Z(3), Z(3) ] ] 4092 ] ], 4093[ 118, 466560, 0, "1", [ [ 80, 1 ] ], 2, "AGL(2, 9)", [ "Z", 3, 4 ], 4094 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4095 [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ], 4096 [ Z(3), 0*Z(3), Z(3)^0, Z(3)^0 ] ], 4097 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), Z(3) ], 4098 [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], [ Z(3), Z(3), Z(3), Z(3) ] ] ] ], 4099[ 119, 466560, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2.Alt(6):Q_8", [ "Z", 3, 4 ], 4100 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4101 [ 0*Z(3), Z(3)^0, Z(3), Z(3)^0 ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ] ], 4102 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4103 , [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 4104 [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 4105[ 120, 933120, 0, "1", [ [ 80, 1 ] ], 2, "AGammaL(2, 9)", [ "Z", 3, 4 ], 4106 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4107 [ Z(3), Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), 0*Z(3) ] ], 4108 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4109 , [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ], 4110 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 4111[ 121, 9720, 0, "1", [ [ 40, 2 ] ], 1, "3^4:2.Alt(5)", [ "Z", 3, 4 ], 4112 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4113 [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ], 4114 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ] ], 4115 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), Z(3) ], 4116 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ] 4117 ] ] ], 4118[ 122, 19440, 0, "1", [ [ 40, 2 ] ], 1, "3^4:4.Alt(5)", [ "Z", 3, 4 ], 4119 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4120 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ] ] 4121 , 4122 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] 4123 , [ Z(3)^0, Z(3), Z(3), Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] 4124 ] ] ], 4125[ 123, 19440, 0, "1", [ [ 40, 2 ] ], 1, "3^4:2.Alt(5):2", [ "Z", 3, 4 ], 4126 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4127 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4128 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ] ], 4129 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] 4130 , [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3) ], [ Z(3), Z(3), 0*Z(3), Z(3) ] 4131 ] ] ], 4132[ 124, 19440, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2.Alt(5).2", [ "Z", 3, 4 ], 4133 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4134 [ Z(3), 0*Z(3), Z(3)^0, Z(3) ], [ Z(3), Z(3), Z(3), Z(3) ] ], 4135 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, Z(3) ], 4136 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3) ] ] 4137 ] ], 4138[ 125, 38880, 0, "1", [ [ 40, 2 ] ], 1, "3^4:4.Sym(5)", [ "Z", 3, 4 ], 4139 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 4140 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4141 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 4142 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4143 , [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3)^0 ], 4144 [ Z(3), Z(3), Z(3), 0*Z(3) ] ] ] ], 4145[ 126, 38880, 0, "1", [ [ 80, 1 ] ], 2, "3^4:8.Alt(5)", [ "Z", 3, 4 ], 4146 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4147 [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3), 0*Z(3) ] ], 4148 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), Z(3), Z(3)^0 ], 4149 [ 0*Z(3), Z(3), Z(3), Z(3) ], [ Z(3), Z(3), Z(3), Z(3) ] ] ] ], 4150[ 127, 38880, 0, "1", [ [ 80, 1 ] ], 2, "3^4:4.Sym(5)", [ "Z", 3, 4 ], 4151 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], 4152 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ] ] 4153 , 4154 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4155 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4156 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ] ] ], 4157[ 128, 77760, 0, "1", [ [ 80, 1 ] ], 2, "3^4:8.Sym(5)", [ "Z", 3, 4 ], 4158 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 4159 [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3) ] ], 4160 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4161 , [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ], 4162 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] ] ], 4163[ 129, 311040, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2^(1+4).Alt(5):2", 4164 [ "Z", 3, 4 ], 4165 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4166 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), Z(3), Z(3) ] ], 4167 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ] 4168 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ], [ Z(3), Z(3), Z(3), Z(3)^0 ] 4169 ] ] ], 4170[ 130, 155520, 0, "1", [ [ 80, 1 ] ], 2, "3^4:2^(1+4).Alt(5)", [ "Z", 3, 4 ], 4171 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4172 [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ], [ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ] ] 4173 , 4174 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3)^0 ], 4175 [ 0*Z(3), Z(3)^0, Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), Z(3)^0 ] ] 4176 ] ], 4177[ 131, 8398080, 0, "1", [ [ 80, 1 ] ], 2, "3^4:Sp(4, 3):2", [ "Z", 3, 4 ], 4178 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4179 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 4180 [ Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] ], 4181 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4182 , [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], 4183 [ Z(3), Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 4184[ 132, 4199040, 0, "1", [ [ 80, 1 ] ], 2, "3^4:Sp(4, 3)", [ "Z", 3, 4 ], 4185 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4186 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3) ], [ Z(3), Z(3), Z(3)^0, 0*Z(3) ] ], 4187 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4188 , [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], [ Z(3), Z(3)^0, Z(3), Z(3) ] 4189 ] ] ], 4190[ 133, 29160, 0, "1", [ [ 30, 2 ], [ 20, 1 ] ], 1, "3^4:Alt(6)", 4191 [ "Z", 3, 4 ], 4192 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4193 [ Z(3), Z(3)^0, Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ] ], 4194 [ [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4195 [ Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3) ] ] ] ], 4196[ 134, 58320, 0, "1", [ [ 30, 2 ], [ 20, 1 ] ], 1, "3^4:(2 x Alt(6))", 4197 [ "Z", 3, 4 ], 4198 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4199 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), Z(3), Z(3) ] ], 4200 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4201 , [ Z(3), Z(3)^0, Z(3)^0, Z(3) ], [ Z(3), Z(3), 0*Z(3), Z(3) ] ] 4202 ] ], 4203[ 135, 58320, 0, "1", [ [ 30, 2 ], [ 20, 1 ] ], 1, "3^4:Sym(6)", 4204 [ "Z", 3, 4 ], 4205 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4206 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3), Z(3), Z(3) ] ], 4207 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, 0*Z(3) ] 4208 , [ Z(3)^0, Z(3), 0*Z(3), Z(3) ], [ Z(3), Z(3)^0, Z(3), Z(3)^0 ] 4209 ] ] ], 4210[ 136, 58320, 0, "1", [ [ 60, 1 ], [ 20, 1 ] ], 1, "3^4:Alt(6).2", 4211 [ "Z", 3, 4 ], 4212 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), Z(3), 0*Z(3) ], 4213 [ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], 4214 [ Z(3)^0, 0*Z(3), Z(3)^0, Z(3)^0 ] ], 4215 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4216 , [ Z(3), Z(3)^0, 0*Z(3), Z(3) ], 4217 [ 0*Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ] ] ] ], 4218[ 137, 116640, 0, "1", [ [ 60, 1 ], [ 20, 1 ] ], 1, "3^4:2.PGL(2, 9)", 4219 [ "Z", 3, 4 ], 4220 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4221 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3), 0*Z(3) ] ] 4222 , 4223 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, Z(3), 0*Z(3) ], 4224 [ Z(3)^0, Z(3)^0, 0*Z(3), Z(3)^0 ], 4225 [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ] ] ] ], 4226[ 138, 116640, 0, "1", [ [ 30, 2 ], [ 20, 1 ] ], 1, "3^4:(2 x Sym(6))", 4227 [ "Z", 3, 4 ], 4228 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4229 [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ] ] 4230 , 4231 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4232 , [ Z(3)^0, Z(3)^0, 0*Z(3), 0*Z(3) ], 4233 [ Z(3), Z(3), Z(3)^0, Z(3)^0 ] ] ] ], 4234[ 139, 116640, 0, "1", [ [ 60, 1 ], [ 20, 1 ] ], 1, "3^4:(2 x Alt(6).2)", 4235 [ "Z", 3, 4 ], 4236 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4237 [ Z(3)^0, Z(3), Z(3), Z(3)^0 ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ] ], 4238 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4239 , [ Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ], 4240 [ 0*Z(3), Z(3)^0, Z(3), Z(3) ] ] ] ], 4241[ 140, 233280, 0, "1", [ [ 60, 1 ], [ 20, 1 ] ], 1, "3^4:2.PGammaL(2, 9)", 4242 [ "Z", 3, 4 ], 4243 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4244 [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3), Z(3) ] ], 4245 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4246 , [ 0*Z(3), 0*Z(3), Z(3)^0, Z(3) ], 4247 [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ] ] ] ], 4248[ 141, 4860, 0, "1", [ [ 5, 2 ], [ 30, 1 ], [ 20, 1 ], [ 10, 2 ] ], 1, 4249 "3^4:Alt(5)", [ "Z", 3, 4 ], 4250 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4251 [ Z(3)^0, 0*Z(3), Z(3), Z(3)^0 ], 4252 [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ] ], 4253 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), 0*Z(3), Z(3)^0 ], 4254 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4255 [ Z(3)^0, Z(3)^0, Z(3)^0, 0*Z(3) ] ] ] ], 4256[ 142, 9720, 0, "1", [ [ 5, 2 ], [ 30, 1 ], [ 20, 1 ], [ 10, 2 ] ], 1, 4257 "3^4:Sym(5)", [ "Z", 3, 4 ], 4258 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], 4259 [ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], [ Z(3), Z(3), Z(3)^0, Z(3) ] ], 4260 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] 4261 , [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], 4262 [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ] ] ] ], 4263[ 143, 9720, 0, "1", [ [ 30, 1 ], [ 20, 2 ], [ 10, 1 ] ], 1, "3^4:Sym(5)", 4264 [ "Z", 3, 4 ], 4265 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], 4266 [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4267 [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ] ], 4268 [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4269 , [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, Z(3), Z(3) ] 4270 ] ] ], 4271[ 144, 9720, 0, "1", [ [ 30, 1 ], [ 20, 2 ], [ 10, 1 ] ], 1, "3^4:2.Alt(5)", 4272 [ "Z", 3, 4 ], 4273 [ [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4274 [ Z(3)^0, Z(3), Z(3), Z(3) ], [ Z(3)^0, Z(3)^0, Z(3)^0, Z(3) ] ], 4275 [ [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, 0*Z(3) ], 4276 [ Z(3), Z(3), Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ] ] ] 4277 ], 4278[ 145, 19440, 0, "1", [ [ 30, 1 ], [ 20, 2 ], [ 10, 1 ] ], 1, 4279 "3^4:(2 x Sym(5))", [ "Z", 3, 4 ], 4280 [ [ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], 4281 [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, Z(3), Z(3)^0, Z(3) ] ] 4282 , 4283 [ [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ] 4284 , [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ], 4285 [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ] ] ] ], 4286[ 146, 65840947200, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, 4287 "Alt(9) wreath Sym(2)", [ "A", 9, 2 ], 4288 [ ( 1,64,10)( 2,71,15, 9,67,11, 8,69,18, 4,65,17, 6,72,13)( 3,66,12) 4289 ( 5,68,14)( 7,70,16)(19,73)(20,80,24,81,22,74,26,78,27,76)(21,75) 4290 (23,77)(25,79)(28,46)(29,53,33,54,31,47,35,51,36,49)(30,48)(32,50) 4291 (34,52)(38,44,42,45,40)(56,62,60,63,58), 4292 ( 1,76,15,55,81,69,62,27,66, 8,22,12)( 2,40,16,46,74,42,61,54,65,44,25, 4293 48)( 3, 4,13,10,73,78,60,63,72,71,26,21)( 5,31,14,28,77,33,59,36,68, 4294 35,23,30)( 6,58,18,64,80,24,57, 9,67,17,19,75)( 7,49,11,37,79,51,56, 4295 45,70,53,20,39)(29,41,34,50)(38,43,52,47) ] ], 4296[ 147, 131681894400, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, "Alt(9)^2.2^2", 4297 [ "A", 9, 2 ], 4298 [ ( 1,49,55, 4,46,58)( 2,50,61)( 3,48,57)( 5,52,56)( 6,51,60)( 7,47,59) 4299 ( 8,53,62)( 9,54,63)(10,22,64,40,73,31)(11,23,70,38,77,34) 4300 (12,21,66,39,75,30)(13,19,67,37,76,28)(14,25,65,41,79,29) 4301 (15,24,69,42,78,33)(16,20,68,43,74,32)(17,26,71,44,80,35) 4302 (18,27,72,45,81,36), ( 1,80,15,59,34,19,81, 6,62,16,23,36) 4303 ( 2,71,13,41,29,64,76,42,56,70,22,45)( 3,53,12,50,30,46,75,51,57,52, 4304 21,54)( 4,44,11,68,31,37,74,69,58,43,20,72)( 5,35,10,77,33,55,79,24, 4305 63, 7,26,18)( 8,17,14,32,28,73,78,60,61,25,27, 9)(38,65,67,40) 4306 (39,47,66,49) ] ], 4307[ 148, 131681894400, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, "Alt(9)^2.4", 4308 [ "A", 9, 2 ], 4309 [ ( 1,18,55,12,64,13,73,16,46,17,28,15,19,14,37,11)( 2, 9,63,57,66,67,76,79, 4310 52,53,35,33,24,23,41,38)( 3,72,58,75,70,49,80,34,51,26,32,42,20, 5, 4311 45,56)( 4,81,61,48,71,31,78,25,50,44,29, 6,27,59,39,65) 4312 ( 7,54,62,30,69,22,77,43,47, 8,36,60,21,68,40,74), 4313 ( 1,24,38,77)( 2,78,37,23)( 3,33,45,59, 4,15,44,50)( 5, 6,42,41) 4314 ( 7,69,43,68)( 8,51,39,32, 9,60,40,14)(10,26,47,75,28,27,56,76) 4315 (11,80,46,21,29,81,55,22)(12,35,54,57,31,18,62,49)(13,17,53,48,30,36, 4316 63,58)(16,71,52,66,34,72,61,67)(19,20,74,73)(25,65,79,64) ] ], 4317[ 149, 263363788800, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, 4318 "Sym(9) wreath Sym(2)", [ "A", 9, 2 ], 4319 [ ( 1,50,78,66,29,19,59,15,39, 2,46,77,69,30,20,55,14,42, 3,47,73,68,33,21, 4320 56,10,41, 6,48,74,64,32,24,57,11,37, 5,51,75,65,28,23,60,12,38) 4321 ( 4,49,76,67,31,22,58,13,40)( 7,52,79,70,34,25,61,16,43) 4322 ( 8,54,80,72,35,27,62,18,44, 9,53,81,71,36,26,63,17,45), 4323 ( 1,80,63,67,43,19,74, 9,71,61,22,38)( 2, 8,62,58,40,37,73,81,72,70,25, 4324 20)( 3,53,57,49,39,46,75,54,66,52,21,47)( 4,44,55,76,45,64,79,27,65, 4325 7,26,56)( 5,35,59,31,41,28,77,36,68,34,23,29)( 6,17,60,13,42,10,78, 4326 18,69,16,24,11)(12,51)(14,33)(30,50) ] ], 4327[ 150, 508032, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, 4328 "PSL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ], 4329 [ ( 1, 3, 9, 6, 8, 4, 5)(10,39,54,33,80,58,68)(11,38,47,29,74,56,65) 4330 (12,45,51,35,76,59,64)(13,41,46,30,81,60,71)(14,37,48,36,78,62,67) 4331 (15,44,49,32,73,57,72)(16,43,52,34,79,61,70)(17,40,50,28,75,63,69) 4332 (18,42,53,31,77,55,66)(19,21,27,24,26,22,23), 4333 ( 1,43,47,12,80, 6,25,54,66,77,60,22,36,64,41,56,13,35)( 2,16,53, 3,79, 4334 51,21,81,69,23,63,67,32,55,40,29,10,44)( 4,34,46,39,74,15,26, 9,70, 4335 50,57,76,33,19,45,65,14,62)( 5,61,49,30,73,42,20,18,71) 4336 ( 7,52,48,75,78,24,27,72,68,59,58,31,28,37,38,11,17, 8) ] ], 4337[ 151, 1524096, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, "PSL(2, 8)^2.6", 4338 [ "L", [ 2, 8 ], 2 ], 4339 [ ( 1,43,50,56,27,13)( 2,25,49)( 3,34,48,29,21,31)( 4, 7,52,47,20,22) 4340 ( 5,61,54,11,19,40)( 6,70,51,65,24,67)( 8,79,53,74,26,76) 4341 ( 9,16,46,38,23,58)(10,37,41,59,63,18)(12,28,39,32,57,36)(14,55,45) 4342 (15,64,42,68,60,72)(17,73,44,77,62,81)(33,66)(35,75)(71,78), 4343 ( 1,67,18,21,53,43)( 2,58,11,57,47,61)( 3,49,16)( 4,13,12,48,52, 7) 4344 ( 5,76,14,75,50,79)( 6,31,15,30,51,34)( 8,40,10,66,54,25) 4345 ( 9,22,17,39,46,70)(19,71,45)(20,62,38,55,65,63)(23,80,41,73,68,81) 4346 (24,35,42,28,69,36)(26,44,37,64,72,27)(29,60)(32,78)(59,74) ] ], 4347[ 152, 1524096, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, "PSL(2, 8)^2.Sym(3)", 4348 [ "L", [ 2, 8 ], 2 ], 4349 [ ( 1,69,73,60,19,51,37,33,10, 6,64,78,55,24,46,42,28,15)( 2,66,77,61,27,53, 4350 38,30,14, 7,72,80,56,21,50,43,36,17)( 3,68,79,63,26,47,39,32,16, 9, 4351 71,74,57,23,52,45,35,11)( 4,67,76,58,22,49,40,31,13)( 5,70,81,62,20, 4352 48,41,34,18, 8,65,75,59,25,54,44,29,12), 4353 ( 1,61,80,40,36,48)( 2,25,78,13,32,66)( 3, 7,79,76,31,30)( 4,34,75) 4354 ( 5,70,74,22,33,12)( 6,16,77,67,29,21)( 8,43,81,49,28,57) 4355 ( 9,52,73,58,35,39)(10,59,71,38,27,51)(11,23,69)(14,68,65,20,24,15) 4356 (17,41,72,47,19,60)(18,50,64,56,26,42)(37,63,53)(44,45,54,46,55,62) ] 4357 ], 4358[ 153, 4572288, 0, "4c", [ [ 16, 1 ], [ 64, 1 ] ], 1, 4359 "PSigmaL(2, 8) wreath Sym(2)", [ "L", [ 2, 8 ], 2 ], 4360 [ ( 1,58,80)( 2,31,78,46,61,71)( 3,22,81,10,59,44)( 4,76,73,55,62, 8) 4361 ( 5,40,75,19,63,17)( 6,49,79,64,56,35)( 7,67,74,28,60,53) 4362 ( 9,13,77,37,57,26)(11,32,42,48,25,72)(12,23,45)(14,41,39,21,27,18) 4363 (15,50,43,66,20,36)(16,68,38,30,24,54)(29,33,51,52,70,65)(34,69,47), 4364 ( 1,39,50,80,31,11, 7,37,48,77,35,13, 2,43,46,75,32,17, 4,38,52,73,30, 4365 14, 8,40,47,79,28,12, 5,44,49,74,34,10, 3,41,53,76,29,16) 4366 ( 6,42,51,78,33,15)( 9,45,54,81,36,18)(19,66,23,71,22,65,25,64,21,68, 4367 26,67,20,70)(24,69)(27,72)(55,57,59,62,58,56,61) ] ], 4368[154, Factorial(81)/2,1,"2",[[80,1]],79, "Alt(81)", ["A",81, 1], "Alt"], 4369[155, Factorial(81),0,"2",[[80, 1]],81, "Sym(81)", ["A",81, 1], "Sym"]]; 4370PRIMGRP[82]:= 4371[[ 1, 265680, 1, "2", [ [ 81, 1 ] ], 2, "PSL(2, 3^4)", [ "L", [ 2, 81 ], 1 ], 4372 [ ( 1,76,27,70,28,81,78,10,75,65, 3,38, 2,36,63,17,48,56,19,59,35, 4,49,77, 4373 44,30,31,29, 9,41, 6,64,82,39,43,22,33,57,66,26,21)( 5,15,67,53, 7, 4374 12,79,62,74,68,50,58,52,34,73,55,11,51,60,20,61,40,69,13,46,47,54,18, 4375 23,45,37,42,80,14,16, 8,25,72,71,24,32), 4376 ( 1,52,51,58,48,27, 9,71,26,45,65,22, 4,55,68,73,57,24,28,76, 5,82,79, 4377 25,62,78,32,37,34,72,18,64,20,42,61,81,54,33,39,23)( 2,50, 3,35,66, 4378 67,74,77,12,40,63,60,46,21,56,29,11,30,43,41,47,17,36, 7,10,16, 8,19, 4379 53,13,59,80,14, 6,69,44,49,15,75,70) ] ], 4380[ 2, 531360, 0, "2", [ [ 81, 1 ] ], 2, "PSL(2, 3^4).2", [ "L", [ 2, 81 ], 1 ], 4381 [ ( 1,78,61)( 2,47,55)( 3,35,58)( 4,28,37)( 5,51,56)( 6,21,23)( 7,34,38) 4382 ( 8,26,54)( 9,14,17)(10,77,16)(11,42,25)(12,29,27)(13,53,74)(15,72,76) 4383 (18,52,30)(19,57,48)(20,70,65)(22,79,49)(24,39,69)(31,62,59)(33,50,40) 4384 (36,82,43)(41,68,81)(44,64,80)(45,63,60)(46,73,66)(67,71,75), 4385 ( 1, 5,34,63,25,10)( 2,55,72,42, 8,36)( 3,21,29,47,69,24) 4386 ( 4,56,33,23,16,30)( 6,49,65)( 7,59,75,15,76,20)( 9,28,39,52,77,71) 4387 (11,74,44,70,12,50)(13,19,41,18,81,46)(14,62,38)(17,37,68,27,80,73) 4388 (22,78,58,31,35,43)(26,51,64)(32,53,82,57,45,54)(40,48,60,79,66,61) ] 4389 ], 4390[ 3, 531360, 0, "2", [ [ 81, 1 ] ], 3, "PSL(2, 3^4).2", [ "L", [ 2, 81 ], 1 ], 4391 [ ( 1,37,69,47,80,62,45,18,60,51,36,14,44,63,38,12,32,13,58,70,55,11,61,31, 4392 20,71,65, 5, 2,64,46, 6,43,22,79,26,29, 3,28,24,25,54,56,72,39,82,77, 4393 4,27,19,30, 9,35,68,67,48,40,76,57,50,52, 8, 7,42,75,33,53,23,49,78, 4394 73,15,59,81,17,66,21,34,74,41,16,10), 4395 ( 1,39,59,50,40,14,67,10,54,26,31,32,81,61,78, 9,22,16,64,80,41,23, 8, 4396 11,27,51,77,72,46,57,55,35, 6,76, 2,53,37,69,71, 4,42,62,25,20,38,65, 4397 79,44,56,19,63,43,13, 5,28, 3,36,33,75,66,47,73,18,68,52,60,49,21,45, 4398 74, 7,12,24,48,34,58,70,29,17,82,15,30) ] ], 4399[ 4, 531360, 0, "2", [ [ 81, 1 ] ], 3, "PSL(2, 3^4).2", [ "L", [ 2, 81 ], 1 ], 4400 [ ( 1,20,56, 4,26, 3,18,43,13,77,63,73,71, 7,39,27,64,76,16,45) 4401 ( 2,79,19,81,74,29,22,70,11,32,41,36,23,38,61,25, 9, 6,59,50) 4402 ( 5,72,53,35,54,28,78,46,52,67,80,49,60,42,69,68,10,21,75,44)( 8,24) 4403 (12,66,17,62,51,37,65,14,47,33,31,57,82,58,30,55,48,15,34,40), 4404 ( 1,13,79,32,10,29,36, 7,68,49,45,30,14,74,44,12,56,23,82,60,11,50,76, 4405 63,65,15,19,17,70,61,28,31,53, 2,27,42,67,20,16,26,58) 4406 ( 3,51, 6,22,54,52,80,21,39,48,24, 9, 5,81,35,57,75,72,18,33,34, 8,59, 4407 25,46,40,66,37,47,71,41,77, 4,62,38,69,43,55,64,78,73) ] ], 4408[ 5, 1062720, 0, "2", [ [ 81, 1 ] ], 3, "PSL(2, 3^4).2^2", 4409 [ "L", [ 2, 81 ], 1 ], 4410 [ ( 1,75,68,80,48,39,43,30,15,23,71,51,21,40,65,29, 3,38,37,22) 4411 ( 2,27,33,77,35,25,55,82,20,50,74,54,49,17,63, 5, 7,44,26,28) 4412 ( 4,62,70, 6,31,32,81, 9,52,69,12,53,60,16,42,47,46,41,76,34) 4413 ( 8,58,36,67,64,14,18,73,78,59,79,72,57,56,66,45,10,13,24,19)(11,61), 4414 ( 1,68,71, 4,56,15,32,69,44,27,59,48, 7,73,45,13, 2,77,67, 8,39,49,61, 4415 43,58,82,17,78,51,42,79,80,47,60,53,20,14,63,81,41,24,29,37,26, 9,55, 4416 62,66,75,18,40,25,12,28,76,19,57,23,50,74,70,21,52, 5,35,54,64,38,33, 4417 10,22,16,34, 3,72,11,31,36,30,65, 6,46) ] ], 4418[ 6, 1062720, 0, "2", [ [ 81, 1 ] ], 2, "PSL(2, 3^4).4", 4419 [ "L", [ 2, 81 ], 1 ], 4420 [ ( 1,47,29,60,36,11,40,15,69,18)( 2,27,58,19,53)( 3,70,73,20,65,55,23,28, 4421 46,45)( 4,31,21,14,50,63, 9,39,43,35)( 5,12,71,67,68,75,13,61,81,16) 4422 ( 6,41,66,56,49,37,25,24,77,59)( 7,62,34,82,57,48,30,44,22,64) 4423 ( 8,78,72,54,51,79,10,74,52,42)(17,26)(32,33,80,38,76), 4424 ( 1,42,74,71, 5,58)( 2,76,23,46,41,26,50,63,20,48,73,52)( 3,24,64,72,16, 4425 29,17,10, 8, 4,11,45)( 6,68,75,79,25,13, 7,32,35,18,30,54) 4426 ( 9,47,81,22,15,43,51,70,19,34,62,12)(14,80,49,78,21,28,55,82,77,36, 4427 38,65)(27,53,39,69,37,66,56,31,61,67,40,57)(33,60,59) ] ], 4428[ 7, 1062720, 0, "2", [ [ 81, 1 ] ], 3, "PSL(2, 3^4).4", 4429 [ "L", [ 2, 81 ], 1 ], 4430 [ ( 1, 9,39, 8,38,46,24,76)( 2,21,56,44,66,45,82,42)( 3,37,30,81,20, 6,64,23 4431 )( 4,53,60,13, 5,16,75,49)( 7,33,73,17,67,77,11,80)(10,48,47,58,25, 4432 74,55,65)(12,40,29,71,79,72,54,69)(14,28,52,59,27,26,34,32) 4433 (18,31,78,68,63,70,43,22)(19,50,57,62,41,36,61,35), 4434 ( 1,26,14,55,66,11,65,72)( 2,71,56,10,24,34,78,47)( 3,40,76,61,31,63,80, 4435 21)( 4,32,69,73,43,15,82,64)( 5,53,67,79, 7,52,37,51)( 6,49,18,42,74, 4436 44,23,22)( 9,50,12,58,81,48,28,30)(13,33,38,60,54,57,35,25) 4437 (16,36,59,46,17,62,77,70)(19,39,29,68,20,45,75,27) ] ], 4438[ 8, 2125440, 0, "2", [ [ 81, 1 ] ], 3, "PGammaL(2, 3^4)", 4439 [ "L", [ 2, 81 ], 1 ], 4440 [ ( 1,70,80,29,32,23,55,81)( 2,26,28,53,59,37,38,64)( 3,65, 9,18,33, 8,36,44 4441 )( 4,56,11,51,72,31,27,20)( 5,50,61,10,22,48, 7,67)( 6,78,15,16,42, 4442 66,24,25)(13,77,68,71,30,34,39,40)(14,58,52,43,74,73,41,69) 4443 (17,19,45,47,46,57,75,35)(21,76,60,82,54,49,63,79), 4444 ( 1,70,29,27,15,23,11,74,40,73,36,32,18,28,47,72)( 2,46,43,24,45,44, 9, 4445 3,33,55,31,34,65,66,14,20)( 4,75,50,10,57,53,64,78,35, 5,63,54,37, 4446 80, 6,52)( 7,21,49,61,13,38,12,71,59,39,48,81,16,19,68,67) 4447 ( 8,26,51,62,41,76,25,30,42,17,79,77,22,58,82,56) ] ], 4448[9, Factorial(82)/2,1,"2",[[81,1]],80, "Alt(82)", ["A",82, 1], "Alt"], 4449[10, Factorial(82),0,"2",[[81, 1]],82, "Sym(82)", ["A",82, 1], "Sym"]]; 4450PRIMGRP[83]:= 4451[[ 1, 83, 3, "1", [ [ 1, 82 ] ], 1, "C(83)", [ "Z", 83, 1 ], [ ] ], 4452[ 2, 166, 2, "1", [ [ 2, 41 ] ], 1, "D(2*83)", [ "Z", 83, 1 ], 4453 [ [ [ Z(83)^41 ] ] ] ], 4454[ 3, 3403, 2, "1", [ [ 41, 2 ] ], 1, "83:41", [ "Z", 83, 1 ], 4455 [ [ [ Z(83)^2 ] ] ] ], 4456[ 4, 6806, 2, "1", [ [ 82, 1 ] ], 2, "AGL(1, 83)", [ "Z", 83, 1 ], 4457 [ [ [ Z(83) ] ] ] ], 4458[5, Factorial(83)/2,1,"2",[[82,1]],81, "Alt(83)", ["A",83, 1], "Alt"], 4459[6, Factorial(83),0,"2",[[82, 1]],83, "Sym(83)", ["A",83, 1], "Sym"]]; 4460PRIMGRP[84]:= 4461[[ 1, 181440, 1, "2", [ [ 45, 1 ], [ 18, 1 ], [ 20, 1 ] ], 1, "Alt(9)", 4462 [ "A", 9, 1 ], 4463 [ ( 1,45,37,62,11,56)( 2,54)( 3,74,79,42,36,35)( 4,84,67,43,73,34) 4464 ( 5,28,40,27,83, 7)( 6,68,53,32,50,69)( 8,29,65,25,58,46) 4465 ( 9,18,21,30,20,44)(10,41,51,22,78,60)(13,47,66)(14,24,80,26,76,82) 4466 (15,33,38,19,55,77)(16,64,70,48,23,39)(17,61,81,71,63,75) 4467 (31,52,57,72,49,59), 4468 ( 1, 6,79,77,18,20,22,61,37)( 2,58,43, 5, 8,38,44,17,57)( 3,41, 9,25,80, 4469 35,40,69,53)( 4,29,63,11,73,55,24,81,45)( 7,31,65,64,21,84,75,78,42) 4470 (10,15,12,26,27,50,52,49,68)(13,36,39,47,54,59,67,33,82) 4471 (14,19,30,83,32,62,56,70,74)(16,48,76,34,66,72,51,60,28)(23,46,71) ] 4472 ], 4473[ 2, 362880, 0, "2", [ [ 45, 1 ], [ 18, 1 ], [ 20, 1 ] ], 1, "Sym(9)", 4474 [ "A", 9, 1 ], 4475 [ ( 1,78,24,57,55,63,36,29,81,38,49,20,42,69,12)( 2,71,75)( 3,21,32,35,82, 4476 65,58,17,22,60, 9,51,37,26,46)( 4,47,27,39, 7,80,52,83,30,62,76,40, 4477 50,44,66)( 5,73,56,13,48, 6,14,53,72,18,59,67,28,45,64) 4478 ( 8,41,11,15,68)(10,79,31,25,74)(16,33,54,19,43)(23,34,84,77,70), 4479 ( 1,23,11, 9,67,75,47,50)( 2,40,37,57,70, 8, 5,76)( 3,73,28,83,62,51,31, 4480 81)( 4,53,17,69,65,79,13, 7)( 6,80,56,27,49,36,68,20)(10,14,71,61,52, 4481 32,54,16)(12,64,30,29,22,43,19,74)(15,18,44,39,42,34,84,77) 4482 (21,72,66,58,45,63,78,59)(24,35,46,33,25,82,55,48)(26,60,38,41) ] ], 4483[ 3, 285852, 1, "2", [ [ 83, 1 ] ], 2, "PSL(2, 83)", [ "L", [ 2, 83 ], 1 ], 4484 "psl" ], 4485[ 4, 571704, 0, "2", [ [ 83, 1 ] ], 3, "PGL(2, 83)", [ "L", [ 2, 83 ], 1 ], 4486 "pgl" ], 4487[5, Factorial(84)/2,1,"2",[[83,1]],82, "Alt(84)", ["A",84, 1], "Alt"], 4488[6, Factorial(84),0,"2",[[83, 1]],84, "Sym(84)", ["A",84, 1], "Sym"]]; 4489PRIMGRP[85]:= 4490[[ 1, 979200, 1, "2", [ [ 20, 1 ], [ 64, 1 ] ], 1, "PSp(4, 4)", 4491 [ "B", [ 2, 4 ], 1 ], 4492 [ ( 1,33,22,83,44,70,51,69,66,20,11,55,47,84,41,74,81)( 2,64,63,14,37,73,39, 4493 26,53,18,29, 4, 9,15,24,16,46)( 3,35,57,75,30,67,36,76,21,13,42,48, 4494 23,27,61,45,56)( 5,82,12,85,78,59, 8,31,19,79,71,40,60, 7,25,58,54) 4495 ( 6,72,10,17,52,38,68,65,62,50,28,80,77,49,32,34,43), 4496 ( 1,75,33,59, 7)( 2,38,72,23,51)( 3,21,40,10,61)( 4,34,15,58,11) 4497 ( 5,55,45,47,60)( 6,46,63,85,54)( 8,39,77,69,76)( 9,57,18,80,43) 4498 (12,14,81,32,29)(13,22,74,36,82)(16,19,48,37,25)(17,52,66,24,56) 4499 (20,41,65,78,27)(26,62,30,28,35)(31,71,64,44,73)(42,53,50,79,70) 4500 (49,68,84,67,83) ] ], 4501[ 2, 1958400, 0, "2", [ [ 20, 1 ], [ 64, 1 ] ], 1, "PSp(4, 4).2", 4502 [ "B", [ 2, 4 ], 1 ], 4503 [ ( 1,75,62,74,22,65,53,42)( 2,59, 4,70,54,14,69, 5)( 3,72,33,29) 4504 ( 6,46,43,77,31,56,17,61)( 7,51,26,83,19,45,30,24)( 8,57,40,50,58,84, 4505 48,68)( 9,35,73,82,80,37,16,79)(10,44,55,60,25,76,66,85) 4506 (11,71,39,34,38,36,81,52)(13,21,41,47,67,23,78,18)(15,49,63,20,27,28, 4507 64,32), ( 1,17,13,37,62, 2,83,11,77, 6)( 3,81,57,63,47) 4508 ( 4,42,38,59,35,73,69,39,67,44)( 5,29,74,18,33,46,27,43,79,71) 4509 ( 7,36,32, 9,40)( 8,21,76,84,26,20,16,82,34,80)(10,78,28,48,15) 4510 (12,72,49,52,22,31,53,45,60,70)(14,24,23,50,25,51,54,68,55,30) 4511 (19,58,65,41,56,64,75,85,61,66) ] ], 4512[ 3, 987033600, 1, "2", [ [ 84, 1 ] ], 2, "PSL(4, 4)", [ "L", [ 4, 4 ], 1 ], 4513 [ ( 5,39,40)( 6,63,54)( 7,34,15)( 8,50,20)( 9,77,79)(10,68,32)(11,16,55) 4514 (12,85,66)(13,67,29)(14,22,80)(17,49,69)(18,48,81)(19,71,65)(21,31,24) 4515 (23,82,72)(25,78,30)(26,42,73)(27,43,74)(33,57,70)(35,62,58)(36,47,45) 4516 (37,56,64)(38,53,46)(41,59,76)(51,83,60)(52,61,84), 4517 ( 1,54,20,76,30,29,52,51,69,28,27,26, 4, 3, 2)( 5,10, 9,18,19,47,23,80, 4518 79,84,83,48, 8,34,41)( 6,37,72,12,16,55,38,40,15,14,13,62,75,74,73) 4519 ( 7,36,53,68,67,81,44,43,42,63,71,66,82,70,57)(11,25,24,49,65) 4520 (17,64,33,78,77)(21,35,56,39,85,32,31,61,60,58,50,46,59,45,22) ] ], 4521[ 4, 1974067200, 0, "2", [ [ 84, 1 ] ], 2, "PSigmaL(4, 4)", 4522 [ "L", [ 4, 4 ], 1 ], 4523 [ ( 1,32,75,34,24, 8,42,50,53,51,61,73,11,26,17,33,85,56,66,80,12,60,22,47, 4524 39,74,40,65,82,58,84, 3,28,38,37,83,43,70, 2,21,45,68,59,30,55,25,72, 4525 18,16, 5,54,64,15,52,77,79,46,10,35,63,69,76,23,27,48,57,81,14,44,49, 4526 78, 4,67,62,19,29, 7,36, 9,20,71, 6,41,31,13), 4527 ( 1,26,22,79,43, 9,63,38,15,30,45, 2,16,70)( 3,28,27,36, 5,10,11) 4528 ( 4,68,64,49, 8,51,76,75,14,59,50,67,35,69)( 6,19,34,57,40,29,32,73, 4529 55,20,13,60,23,25)( 7,31,61,83,85,84,72,18,81,78,12,53,80,71) 4530 (17,21,77,47,39,41,48,24,65,56,54,46,42,37)(33,44,52,62,74,58,82) ] ], 4531[5, Factorial(85)/2,1,"2",[[84,1]],83, "Alt(85)", ["A",85, 1], "Alt"], 4532[6, Factorial(85),0,"2",[[84, 1]],85, "Sym(85)", ["A",85, 1], "Sym"]]; 4533PRIMGRP[86]:= 4534[[1, Factorial(86)/2,1,"2",[[85,1]],84, "Alt(86)", ["A",86, 1], "Alt"], 4535[2, Factorial(86),0,"2",[[85, 1]],86, "Sym(86)", ["A",86, 1], "Sym"]]; 4536PRIMGRP[87]:= 4537[[1, Factorial(87)/2,1,"2",[[86,1]],85, "Alt(87)", ["A",87, 1], "Alt"], 4538[2, Factorial(87),0,"2",[[86, 1]],87, "Sym(87)", ["A",87, 1], "Sym"]]; 4539PRIMGRP[88]:= 4540[[1, Factorial(88)/2,1,"2",[[87,1]],86, "Alt(88)", ["A",88, 1], "Alt"], 4541[2, Factorial(88),0,"2",[[87, 1]],88, "Sym(88)", ["A",88, 1], "Sym"]]; 4542PRIMGRP[89]:= 4543[[ 1, 89, 3, "1", [ [ 1, 88 ] ], 1, "C(89)", [ "Z", 89, 1 ], [ ] ], 4544[ 2, 178, 2, "1", [ [ 2, 44 ] ], 1, "D(2*89)", [ "Z", 89, 1 ], 4545 [ [ [ Z(89)^44 ] ] ] ], 4546[ 3, 356, 2, "1", [ [ 4, 22 ] ], 1, "89:4", [ "Z", 89, 1 ], 4547 [ [ [ Z(89)^22 ] ] ] ], 4548[ 4, 712, 2, "1", [ [ 8, 11 ] ], 1, "89:8", [ "Z", 89, 1 ], 4549 [ [ [ Z(89)^11 ] ] ] ], 4550[ 5, 979, 2, "1", [ [ 11, 8 ] ], 1, "89:11", [ "Z", 89, 1 ], 4551 [ [ [ Z(89)^8 ] ] ] ], 4552[ 6, 1958, 2, "1", [ [ 22, 4 ] ], 1, "89:22", [ "Z", 89, 1 ], 4553 [ [ [ Z(89)^4 ] ] ] ], 4554[ 7, 3916, 2, "1", [ [ 44, 2 ] ], 1, "89:44", [ "Z", 89, 1 ], 4555 [ [ [ Z(89)^2 ] ] ] ], 4556[ 8, 7832, 2, "1", [ [ 88, 1 ] ], 2, "AGL(1, 89)", [ "Z", 89, 1 ], 4557 [ [ [ Z(89) ] ] ] ], 4558[9, Factorial(89)/2,1,"2",[[88,1]],87, "Alt(89)", ["A",89, 1], "Alt"], 4559[10, Factorial(89),0,"2",[[88, 1]],89, "Sym(89)", ["A",89, 1], "Sym"]]; 4560PRIMGRP[90]:= 4561[[ 1, 352440, 1, "2", [ [ 89, 1 ] ], 2, "PSL(2, 89)", [ "L", [ 2, 89 ], 1 ], 4562 "psl" ], 4563[ 2, 704880, 0, "2", [ [ 89, 1 ] ], 3, "PGL(2, 89)", [ "L", [ 2, 89 ], 1 ], 4564 "pgl" ], 4565[3, Factorial(90)/2,1,"2",[[89,1]],88, "Alt(90)", ["A",90, 1], "Alt"], 4566[4, Factorial(90),0,"2",[[89, 1]],90, "Sym(90)", ["A",90, 1], "Sym"]]; 4567PRIMGRP[91]:= 4568[[ 1, 1092, 1, "2", [ [ 12, 5 ], [ 3, 2 ], [ 6, 4 ] ], 1, "PSL(2, 13)", 4569 [ "L", [ 2, 13 ], 1 ], 4570 [ ( 1,40)( 2,23)( 3,21)( 4,13)( 5,67)( 6,12)( 7,62)( 9,39)(10,46)(11,44) 4571 (14,42)(15,34)(16,29)(17,28)(18,27)(19,70)(20,26)(22,47)(24,25)(30,51) 4572 (32,84)(33,50)(35,69)(36,76)(37,58)(38,74)(41,82)(43,89)(45,80)(48,72) 4573 (49,71)(53,56)(54,59)(60,77)(61,79)(63,66)(64,81)(65,88)(68,86)(78,91) 4574 (83,85)(87,90), ( 1,33,66, 8,31,23,84,56,37,25,54, 9,62) 4575 ( 2,20,50,85,87,32,48,63,60,89,73,91,81)( 3,74,53, 4,78,42,34,27,15, 4576 44,43,22,40)( 5,79,52,65,82,19,90,10, 7,58,49,83,86)( 6,61,88,17,36, 4577 72,51,41,18,67,29,26,76)(11,71,30,59,16,46,14,80,75,47,13,57,35) 4578 (12,39,64,55,77,24,28,21,68,45,69,70,38) ] ], 4579[ 2, 2184, 0, "2", [ [ 12, 5 ], [ 24, 1 ], [ 6, 1 ] ], 1, "PGL(2, 13)", 4580 [ "L", [ 2, 13 ], 1 ], 4581 [ ( 2,27)( 3,43)( 4,85)( 5,51)( 7,63)( 9,58)(10,78)(12,25)(13,70)(14,87) 4582 (15,33)(16,86)(17,84)(18,50)(19,89)(20,36)(21,73)(22,55)(23,82)(24,65) 4583 (26,28)(29,35)(31,62)(32,74)(34,90)(37,60)(38,40)(41,72)(42,71)(44,91) 4584 (45,61)(46,77)(47,81)(48,68)(49,69)(52,80)(53,66)(54,67)(56,64)(57,79) 4585 (59,88)(75,83), ( 1,11,15,13,21,89,18,91,38,47,34,14,56) 4586 ( 2,63, 7,24,32, 8,40,59,53,31,50,39,58)( 3,60, 9,19,86,25,81,74,80, 4587 17,55, 6,35)( 4,45,29,49,57,75,10,51,69,22,42,54,44)( 5,30,28,12,16, 4588 82,76,79,20,27,48,65,36)(23,73,66,90,26,78,77,84,33,64,43,72,83) 4589 (37,87,88,67,71,46,41,61,85,62,70,52,68) ] ], 4590[ 3, 1092, 1, "2", [ [ 12, 6 ], [ 4, 3 ], [ 6, 1 ] ], 1, "PSL(2, 13)", 4591 [ "L", [ 2, 13 ], 1 ], 4592 [ ( 1,86)( 2,72)( 3,71)( 4,77)( 5,80)( 6,82)( 7,90)( 8,29)( 9,40)(10,11) 4593 (12,20)(13,19)(14,85)(15,81)(16,35)(17,27)(18,84)(21,69)(22,32)(23,89) 4594 (24,58)(25,53)(26,65)(28,33)(30,38)(31,49)(34,78)(36,55)(37,54)(39,74) 4595 (41,42)(43,73)(44,70)(45,46)(47,68)(48,88)(50,63)(51,62)(52,61)(56,59) 4596 (57,83)(60,91)(67,87)(75,79), ( 1,42,61,41,85,29, 6,59, 4,66,12, 7,67) 4597 ( 2,36,74,62, 5,76,37,73,70,69,19,72,17)( 3,58,83,77,16,46,79,23,28, 4598 90,26,56,55)( 8,21,87,11,49,32,63,64,35,91,47,71,39)( 9,15,14,33,18, 4599 34,13,45,38,82,30,40,44)(10,86,43,89,51,78,65,75,81,50,54,48,53) 4600 (20,68,24,57,27,60,84,22,52,88,25,31,80) ] ], 4601[ 4, 2184, 0, "2", [ [ 12, 2 ], [ 24, 2 ], [ 4, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, 4602 "PGL(2, 13)", [ "L", [ 2, 13 ], 1 ], 4603 [ ( 1,33)( 2,20)( 3,45)( 4,44)( 5,66)( 6,36)( 8,77)( 9,55)(10,43)(11,82) 4604 (12,52)(13,35)(15,19)(16,42)(18,54)(21,85)(22,41)(23,90)(24,48)(25,75) 4605 (26,53)(27,32)(28,59)(29,76)(30,50)(31,83)(34,74)(37,91)(38,64)(39,89) 4606 (40,87)(46,67)(47,65)(49,61)(51,72)(56,84)(57,60)(62,86)(63,70)(68,73) 4607 (69,78)(71,79), ( 1,88,15,34,73,25,63,26,23,11,37,79,62) 4608 ( 2,44,76,39,27,21,54,51,72,13,43,80,55)( 3,16,22,67,74,60,50,10,29, 4609 68,64,31,69)( 4,71,65,89,35,24,59,33,45,57,36, 7,75)( 5,48,18,83,12, 4610 53,32,17,47,49,61,91,58)( 6,19,28,40,38,46,84,81, 9,30,78,85,70) 4611 ( 8,52,87,66,82,42,86,20,56,14,41,90,77) ] ], 4612[ 5, 43589145600, 1, "2", [ [ 66, 1 ], [ 24, 1 ] ], 1, "Alt(14)", 4613 [ "A", 14, 1 ], 4614 [ ( 1,73,63,14,85,51,30,53,38,32,76, 6,77,22,23,37,59,69,45,49,81,83,72,33, 4615 27,68, 2,75,41,20, 9,13,40,87,35, 3, 5,91,31,17, 7,43,48,28,26) 4616 ( 4,84,29,88,39,55,79,62,64)( 8,21,46,44,50,16,56,34,71) 4617 (10,70,19,66,25)(11,36,18,89,52,47,54,74,67)(12,58,60,24,42,65,61,90, 4618 78)(15,82,80,57,86), ( 1,28,29, 6,48,26,62,25,89,13,44,69,49) 4619 ( 2,34, 3,90, 7,71,72,20,75,86,56,19,88)( 4,77,17,12,14,36,83,24, 8, 4620 67, 9,50,84)( 5,87,65,73,37,55,58,81,53,85,74,57,23)(10,61,38,46,82, 4621 39,16,64,70,35,21,31,40)(11,63,66,32,45,33,43,30,52,54,76,68,42) 4622 (15,47,22,60,80,27,79,41,51,59,18,78,91) ] ], 4623[ 6, 87178291200, 0, "2", [ [ 66, 1 ], [ 24, 1 ] ], 1, "Sym(14)", 4624 [ "A", 14, 1 ], 4625 [ ( 1,20,82,31,70,60)( 2,41,48,65,62,27)( 3,64,37,78,76,44)( 4, 7,71, 9,11, 4626 68)( 5,86,80,33,75,23)( 6,25,63,51,74,15)( 8,58,39)(10,19,57,40,56,32 4627 )(12,85,59,14,72,89)(13,28,77,29,47,17)(16,90,24)(18,55,67) 4628 (21,35,83,22,53,36)(26,73,87,69,46,61)(30,38,91,88,79,49)(34,52,54) 4629 (42,50,84)(43,45,66), 4630 ( 1,17,75,27,62,15,12,66,61,49)( 2,60,55,43,78,89)( 3,36,69,88,54,51, 8, 4631 40,52,46)( 4,53,30,64,68,83,63,39,73,81,50,80,44,90,82) 4632 ( 5,20,47,10,74,35)( 6,71,59)( 7,14,72,87,58,25,84,57,18,41) 4633 ( 9,77,48,34,76)(11,28,13,31,42,19)(16,33)(21,86)(23,79) 4634 (24,91,37,67,70)(26,56)(29,38)(45,85) ] ], 4635[ 7, 42456960, 1, "2", [ [ 90, 1 ] ], 2, "PSL(3, 9)", [ "L", [ 3, 9 ], 1 ], 4636 [ ( 4,11,28,43,89,36,29,82)( 5,20, 7,74,32,25,51,77)( 6,18,42,73,86,21,61,31 4637 )( 8,35,91,63,47,48,64,81)( 9,58,26,49,90,57,62,78)(10,54,75,23,80, 4638 85,37,65)(12,66,17,76,13,45,24,16)(14,19,34,69,27,79,44,72) 4639 (15,56,50,22,33,46,30,55)(38,40,87,67)(39,84,68,53,88,60,41,71) 4640 (52,83,70,59), ( 1,15,61,68,67,33,19,79,42,41,40, 3, 2) 4641 ( 4,53,52,50,75,49,27,14,21,65, 9,36,91)( 5,62,57,48, 6,43, 8,35,69, 4642 88,87,55,63)( 7,85,60,59,30,82,76,34,44,73,29,17,80)(10,58,12,64,23, 4643 20,16,31,54,84,83,56,90)(11,45,26,51,28,81,78,18,89,71,70,22,24) 4644 (13,66,74,86,37,32,77,72,39,38,46,25,47) ] ], 4645[ 8, 84913920, 0, "2", [ [ 90, 1 ] ], 2, "PGammaL(3, 9)", 4646 [ "L", [ 3, 9 ], 1 ], 4647 [ ( 1,20,56,24,48,14,53,58,38, 5,25, 9,33,30,29,81)( 2,46,66,27,74,90,10,26, 4648 52,84,65,49,64,39, 8,71)( 3, 7,72,18,54,77,69,35,42,15, 4,41,89,31, 4649 85,79)( 6,63,75,67,12,43,50,68,76,62,28,70,45,32,86,51) 4650 (11,16,21,34,37,55,87,82,60,44,19,78,57,47,83,36)(13,88,73,17,22,80, 4651 59,23)(61,91), ( 1,21,41,36,28,87,75,81,64,88,30,63,83,42,56,17,37, 4652 80,61,45,31,58,34,57, 5,54,79,49,91,18,33,84,13,16,52,50,27,47,32, 7, 4653 25,11,55,77, 6, 8, 9,89,73,71,86,43,67,23,48,60,74,68, 2,35,59,70,76, 4654 29,15, 4,24,19,39,10,14,40,53,72,69,38,66,82,44,12,20,90,22,65,85,78, 4655 62,51, 3,26,46) ] ], 4656[9, Factorial(91)/2,1,"2",[[90,1]],89, "Alt(91)", ["A",91, 1], "Alt"], 4657[10, Factorial(91),0,"2",[[90, 1]],91, "Sym(91)", ["A",91, 1], "Sym"]]; 4658PRIMGRP[92]:= 4659[[1, Factorial(92)/2,1,"2",[[91,1]],90, "Alt(92)", ["A",92, 1], "Alt"], 4660[2, Factorial(92),0,"2",[[91, 1]],92, "Sym(92)", ["A",92, 1], "Sym"]]; 4661PRIMGRP[93]:= 4662[[1, Factorial(93)/2,1,"2",[[92,1]],91, "Alt(93)", ["A",93, 1], "Alt"], 4663[2, Factorial(93),0,"2",[[92, 1]],93, "Sym(93)", ["A",93, 1], "Sym"]]; 4664PRIMGRP[94]:= 4665[[1, Factorial(94)/2,1,"2",[[93,1]],92, "Alt(94)", ["A",94, 1], "Alt"], 4666[2, Factorial(94),0,"2",[[93, 1]],94, "Sym(94)", ["A",94, 1], "Sym"]]; 4667PRIMGRP[95]:= 4668[[1, Factorial(95)/2,1,"2",[[94,1]],93, "Alt(95)", ["A",95, 1], "Alt"], 4669[2, Factorial(95),0,"2",[[94, 1]],95, "Sym(95)", ["A",95, 1], "Sym"]]; 4670PRIMGRP[96]:= 4671[[1, Factorial(96)/2,1,"2",[[95,1]],94, "Alt(96)", ["A",96, 1], "Alt"], 4672[2, Factorial(96),0,"2",[[95, 1]],96, "Sym(96)", ["A",96, 1], "Sym"]]; 4673PRIMGRP[97]:= 4674[[ 1, 97, 3, "1", [ [ 1, 96 ] ], 1, "C(97)", [ "Z", 97, 1 ], [ ] ], 4675[ 2, 194, 2, "1", [ [ 2, 48 ] ], 1, "D(2*97)", [ "Z", 97, 1 ], 4676 [ [ [ Z(97)^48 ] ] ] ], 4677[ 3, 291, 2, "1", [ [ 3, 32 ] ], 1, "97:3", [ "Z", 97, 1 ], 4678 [ [ [ Z(97)^32 ] ] ] ], 4679[ 4, 388, 2, "1", [ [ 4, 24 ] ], 1, "97:4", [ "Z", 97, 1 ], 4680 [ [ [ Z(97)^24 ] ] ] ], 4681[ 5, 582, 2, "1", [ [ 6, 16 ] ], 1, "97:6", [ "Z", 97, 1 ], 4682 [ [ [ Z(97)^16 ] ] ] ], 4683[ 6, 776, 2, "1", [ [ 8, 12 ] ], 1, "97:8", [ "Z", 97, 1 ], 4684 [ [ [ Z(97)^12 ] ] ] ], 4685[ 7, 1164, 2, "1", [ [ 12, 8 ] ], 1, "97:12", [ "Z", 97, 1 ], 4686 [ [ [ Z(97)^8 ] ] ] ], 4687[ 8, 1552, 2, "1", [ [ 16, 6 ] ], 1, "97:16", [ "Z", 97, 1 ], 4688 [ [ [ Z(97)^6 ] ] ] ], 4689[ 9, 2328, 2, "1", [ [ 24, 4 ] ], 1, "97:24", [ "Z", 97, 1 ], 4690 [ [ [ Z(97)^4 ] ] ] ], 4691[ 10, 3104, 2, "1", [ [ 32, 3 ] ], 1, "97:32", [ "Z", 97, 1 ], 4692 [ [ [ Z(97)^3 ] ] ] ], 4693[ 11, 4656, 2, "1", [ [ 48, 2 ] ], 1, "97:48", [ "Z", 97, 1 ], 4694 [ [ [ Z(97)^2 ] ] ] ], 4695[ 12, 9312, 2, "1", [ [ 96, 1 ] ], 2, "AGL(1, 97)", [ "Z", 97, 1 ], 4696 [ [ [ Z(97) ] ] ] ], 4697[13, Factorial(97)/2,1,"2",[[96,1]],95, "Alt(97)", ["A",97, 1], "Alt"], 4698[14, Factorial(97),0,"2",[[96, 1]],97, "Sym(97)", ["A",97, 1], "Sym"]]; 4699PRIMGRP[98]:= 4700[[ 1, 456288, 1, "2", [ [ 97, 1 ] ], 2, "PSL(2, 97)", [ "L", [ 2, 97 ], 1 ], 4701 "psl" ], 4702[ 2, 912576, 0, "2", [ [ 97, 1 ] ], 3, "PGL(2, 97)", [ "L", [ 2, 97 ], 1 ], 4703 "pgl" ], 4704[3, Factorial(98)/2,1,"2",[[97,1]],96, "Alt(98)", ["A",98, 1], "Alt"], 4705[4, Factorial(98),0,"2",[[97, 1]],98, "Sym(98)", ["A",98, 1], "Sym"]]; 4706PRIMGRP[99]:= 4707[[1, Factorial(99)/2,1,"2",[[98,1]],97, "Alt(99)", ["A",99, 1], "Alt"], 4708[2, Factorial(99),0,"2",[[98, 1]],99, "Sym(99)", ["A",99, 1], "Sym"]]; 4709PRIMGRP[100]:= 4710[[ 1, 604800, 1, "2", [ [ 36, 1 ], [ 63, 1 ] ], 1, "J_2", 4711 [ "Spor", "HJ = J(2) = F(5-)", 1 ], 4712 [ ( 1, 58, 96, 14, 36, 4, 25, 71)( 2, 20, 85, 42, 50, 92, 64, 31) 4713 ( 3, 51, 5, 17, 89, 34, 99, 11)( 6, 70)( 7, 90, 12, 19, 82, 86, 4714 54, 23)( 8, 43, 37, 57, 77, 75, 30, 73)( 9, 52, 53, 95) 4715 ( 10, 59, 91, 28, 97, 32, 68, 40)( 13, 56, 74, 78, 80, 46, 38, 21) 4716 ( 15,100, 63, 41, 27, 67, 22, 35)( 16, 69, 83, 24)( 18, 33, 45, 81, 4717 55, 29, 98, 60)( 26, 72, 47, 62)( 39, 76)( 44, 79, 94, 65, 88, 61, 4718 66, 49)( 48, 84), ( 1, 91, 65, 44, 12, 82, 54, 92, 70, 63) 4719 ( 2, 78, 80, 85, 81, 5, 73, 35, 17, 24)( 3, 86, 22, 40, 94, 99, 8, 4720 66, 41, 20)( 4, 62, 74, 57, 27, 58, 97, 34, 50, 55)( 6, 56, 38, 19, 4721 29, 7, 59, 28, 96, 95)( 9, 13, 47, 10, 32, 33, 11, 37, 98, 67) 4722 ( 14, 77, 71, 23, 36, 84, 49, 93, 76, 79)( 15, 31, 18, 45, 16, 26, 72, 4723 30, 42, 60)( 21, 52, 90, 53, 43, 46, 69, 68, 83, 64)( 25, 75, 87, 89, 4724 39, 88, 51, 48,100, 61) ] ], 4725[ 2, 1209600, 0, "2", [ [ 36, 1 ], [ 63, 1 ] ], 1, "J_2.2", 4726 [ "Spor", "HJ = J(2) = F(5-)", 1 ], 4727 [ ( 1, 23, 38, 8, 5, 4, 82, 34, 94, 86, 47, 24, 54, 93, 29, 3, 78, 50, 4728 91, 62, 22, 99, 11, 35)( 2, 28, 25, 15, 97, 57, 18, 64, 13, 81, 12, 4729 59, 73, 95, 87, 72, 74, 58, 16, 53, 37, 80, 65, 6)( 7, 46, 10,100, 4730 49, 30, 31, 77, 92, 83, 90, 88, 56, 68, 33, 39, 36, 60, 26, 79, 63, 4731 43, 21, 48)( 9, 89, 71, 20, 98, 61, 76, 66)( 14, 75, 27, 40, 67, 4732 19, 70, 55, 51, 52, 32, 96)( 17, 42)( 41, 84, 45, 69, 44, 85), 4733 ( 1, 73, 75, 70, 23, 89, 9, 33)( 2, 83, 19,100, 47, 90, 6, 87) 4734 ( 3, 94, 37, 67, 69, 43, 93, 77)( 4, 48, 86, 13, 39, 17, 15, 54) 4735 ( 5, 12, 63, 61, 45, 84, 52, 11)( 7, 99, 60, 91, 95, 76, 26, 62) 4736 ( 8, 92)( 10, 65, 66, 57)( 14, 25, 58, 38, 20, 50, 44, 28) 4737 ( 16, 24, 97, 82, 40, 31, 51, 64)( 18, 41)( 21, 32, 35, 29, 22, 81, 4738 30, 56)( 27, 98, 74, 46)( 34, 68, 72, 49, 53, 55, 71, 42) 4739 ( 36, 85, 88, 78)( 59, 96) ] ], 4740[ 3, 44352000, 1, "2", [ [ 22, 1 ], [ 77, 1 ] ], 1, "HS", [ "Spor", "HS", 1 ], 4741 [ ( 1, 60)( 2, 72)( 3, 81)( 4, 43)( 5, 11)( 6, 87)( 7, 34)( 9, 63) 4742 ( 12, 46)( 13, 28)( 14, 71)( 15, 42)( 16, 97)( 18, 57)( 19, 52) 4743 ( 21, 32)( 23, 47)( 24, 54)( 25, 83)( 26, 78)( 29, 89)( 30, 39) 4744 ( 33, 61)( 35, 56)( 37, 67)( 44, 76)( 45, 88)( 48, 59)( 49, 86) 4745 ( 50, 74)( 51, 66)( 53, 99)( 55, 75)( 62, 73)( 65, 79)( 68, 82) 4746 ( 77, 92)( 84, 90)( 85, 98)( 94,100), 4747 ( 1, 86, 13, 10, 47)( 2, 53, 30, 8, 38)( 3, 40, 48, 25, 17) 4748 ( 4, 29, 92, 88, 43)( 5, 98, 66, 54, 65)( 6, 27, 51, 73, 24) 4749 ( 7, 83, 16, 20, 28)( 9, 23, 89, 95, 61)( 11, 42, 46, 91, 32) 4750 ( 12, 14, 81, 55, 68)( 15, 90, 31, 56, 37)( 18, 69, 45, 84, 76) 4751 ( 19, 59, 79, 35, 93)( 21, 22, 64, 39,100)( 26, 58, 96, 85, 77) 4752 ( 33, 52, 94, 75, 44)( 34, 62, 87, 78, 50)( 36, 82, 60, 74, 72) 4753 ( 41, 80, 70, 49, 67)( 57, 63, 71, 99, 97) ] ], 4754[ 4, 88704000, 0, "2", [ [ 22, 1 ], [ 77, 1 ] ], 1, "HS:2", 4755 [ "Spor", "HS", 1 ], 4756 [ ( 1, 86)( 4, 54)( 5, 30)( 6, 57)( 8, 44)( 9, 52)( 11, 14)( 13, 42) 4757 ( 18, 43)( 19, 85)( 20, 65)( 22, 91)( 23, 71)( 24, 87)( 25, 50) 4758 ( 26, 78)( 27, 88)( 29, 73)( 31, 76)( 33, 84)( 34, 72)( 35, 97) 4759 ( 36, 53)( 37, 63)( 39, 47)( 40, 99)( 45, 80)( 55, 81)( 58, 79) 4760 ( 62, 83)( 66, 77)( 67, 98)( 68,100)( 69, 93)( 74, 89), 4761 ( 1, 49, 14, 37, 74)( 2, 16, 52, 96, 44)( 3, 99, 38, 18, 61) 4762 ( 5, 62, 64, 65, 95)( 6, 8, 40, 85, 58)( 7, 68, 80, 9, 39) 4763 ( 10, 19, 31, 97, 72)( 11, 77, 93, 84, 98)( 12, 46, 86, 78, 42) 4764 ( 13, 23, 54, 29, 15)( 17, 82, 69, 34, 30)( 21, 28, 56, 88, 89) 4765 ( 22,100, 73, 87, 35)( 24, 79, 67, 59, 32)( 25, 43, 27, 66, 75) 4766 ( 26, 92, 47, 50, 94)( 33, 36, 57, 70, 81)( 41, 83, 55, 91, 51) 4767 ( 45, 90, 60, 48, 71) ] ], 4768[ 5, 7200, 0, "4c", [ [ 12, 1 ], [ 36, 2 ], [ 6, 1 ], [ 9, 1 ] ], 1, 4769 "Alt(5) wreath Sym(2)", [ "A", 5, 2 ], 4770 [ ( 1, 20, 57, 28, 84, 32)( 2, 10, 60, 58, 88, 82)( 3, 70, 56, 98, 85, 42 4771 )( 4, 40, 51, 18, 87, 22)( 5, 50, 53, 68, 86, 92)( 6,100, 55, 48, 4772 83, 62)( 7, 30, 54, 38, 81, 12)( 8, 90, 52)( 9, 80, 59, 78, 89, 4773 72)( 11, 17, 27, 24, 34, 31)( 13, 67, 26, 94, 35, 41)( 14, 37, 21) 4774 ( 15, 47, 23, 64, 36, 91)( 16, 97, 25, 44, 33, 61)( 19, 77, 29, 74, 4775 39, 71)( 43, 63, 66, 96, 95, 45)( 46, 93, 65)( 49, 73, 69, 76, 99, 4776 75), ( 1, 13, 85, 44)( 2, 33, 88, 64)( 3, 83, 84, 4) 4777 ( 5, 43, 81, 14)( 6, 23, 87, 94)( 7, 93, 86, 24)( 8, 63, 82, 34) 4778 ( 9, 53, 89, 54)( 10, 73, 90, 74)( 11, 15, 45, 41)( 12, 35, 48, 61) 4779 ( 16, 25, 47, 91)( 17, 95, 46, 21)( 18, 65, 42, 31)( 19, 55, 49, 51) 4780 ( 20, 75, 50, 71)( 22, 37, 98, 66)( 26, 27, 97, 96)( 28, 67, 92, 36) 4781 ( 29, 57, 99, 56)( 30, 77,100, 76)( 32, 38, 68, 62)( 39, 58, 69, 52) 4782 ( 40, 78, 70, 72)( 60, 79) ] ], 4783[ 6, 14400, 0, "4c", [ [ 12, 1 ], [ 36, 2 ], [ 6, 1 ], [ 9, 1 ] ], 1, 4784 "Alt(5)^2.2^2", [ "A", 5, 2 ], 4785 [ ( 1, 13, 44, 80)( 2, 93, 42,100)( 3, 43, 50, 10)( 4, 73, 41, 20) 4786 ( 5, 83, 45, 90)( 6, 53, 48, 70)( 7, 33, 49, 30)( 8, 63, 46, 60) 4787 ( 9, 23, 47, 40)( 11, 14, 74, 71)( 12, 94, 72, 91)( 15, 84, 75, 81) 4788 ( 16, 54, 78, 61)( 17, 34, 79, 21)( 18, 64, 76, 51)( 19, 24, 77, 31) 4789 ( 22, 97, 32, 99)( 25, 87, 35, 89)( 26, 57, 38, 69)( 27, 37, 39, 29) 4790 ( 28, 67, 36, 59)( 52, 98, 62, 96)( 55, 88, 65, 86)( 56, 58, 68, 66) 4791 ( 82, 95), ( 1, 27, 65, 56, 31, 47, 5, 26, 61, 57, 35, 46) 4792 ( 2, 24, 68, 53, 32, 44, 8, 23, 62, 54, 38, 43)( 3, 22, 64, 58, 33, 4793 42, 4, 28, 63, 52, 34, 48)( 6, 21, 67, 55, 36, 41, 7, 25, 66, 51, 4794 37, 45)( 9, 30, 69, 60, 39, 50)( 10, 29, 70, 59, 40, 49) 4795 ( 11, 77, 95, 16, 71, 97, 15, 76, 91, 17, 75, 96)( 12, 74, 98, 13, 72, 4796 94, 18, 73, 92, 14, 78, 93)( 19, 80, 99, 20, 79,100)( 81, 87, 85, 86) 4797 ( 82, 84, 88, 83)( 89, 90) ] ], 4798[ 7, 14400, 0, "4c", [ [ 12, 1 ], [ 36, 2 ], [ 6, 1 ], [ 9, 1 ] ], 1, 4799 "Alt(5)^2.4", [ "A", 5, 2 ], 4800 [ ( 1, 57, 85, 6, 51, 87, 5, 56, 81, 7, 55, 86)( 2, 54, 88, 3, 52, 84, 4801 8, 53, 82, 4, 58, 83)( 9, 60, 89, 10, 59, 90)( 11, 47, 35, 96, 21, 4802 67, 15, 46, 31, 97, 25, 66)( 12, 44, 38, 93, 22, 64, 18, 43, 32, 94, 4803 28, 63)( 13, 42, 34, 98, 23, 62, 14, 48, 33, 92, 24, 68) 4804 ( 16, 41, 37, 95, 26, 61, 17, 45, 36, 91, 27, 65)( 19, 50, 39,100, 29, 4805 70)( 20, 49, 40, 99, 30, 69)( 71, 77, 75, 76)( 72, 74, 78, 73) 4806 ( 79, 80), ( 1, 76, 47, 14, 40, 95, 51, 72, 67, 19, 30, 98) 4807 ( 2, 66, 49, 24, 38, 5, 56, 42, 64, 39, 25, 58)( 3, 86, 43, 84, 33, 4808 85, 53, 82, 63, 89, 23, 88)( 4, 36, 45, 54, 32, 65, 59, 22, 68, 9, 4809 26, 48)( 6, 46, 44, 34, 35, 55, 52, 62, 69, 29, 28, 8) 4810 ( 7, 16, 50, 94, 31, 75, 57, 12, 70, 99, 21, 78)( 10, 96, 41, 74, 37, 4811 15, 60, 92, 61, 79, 27, 18)( 11, 80, 97)( 13, 90, 93, 81, 73, 87) 4812 ( 17, 20,100, 91, 71, 77) ] ], 4813[ 8, 28800, 0, "4c", [ [ 12, 1 ], [ 36, 2 ], [ 6, 1 ], [ 9, 1 ] ], 1, 4814 "Sym(5) wreath Sym(2)", [ "A", 5, 2 ], 4815 [ ( 1, 60, 18, 75, 39, 86, 2,100, 17, 25, 33, 66)( 3, 70, 11, 55, 38, 76, 4816 9, 90, 12, 95, 37, 26)( 4, 50, 14, 45, 34, 46)( 5, 40, 16) 4817 ( 6, 10, 20, 15, 35, 36)( 7, 30, 13, 65, 31, 56, 8, 80, 19, 85, 32, 4818 96)( 21, 53, 68, 71, 59, 88, 72, 99, 87, 22, 93, 67)( 23, 63, 61, 51, 4819 58, 78, 79, 89, 82, 92, 97, 27)( 24, 43, 64, 41, 54, 48, 74, 49, 84, 4820 42, 94, 47)( 28, 73, 69, 81, 52, 98, 77, 29, 83, 62, 91, 57), 4821 ( 1, 14, 91, 54)( 2, 12, 92, 52)( 3, 20, 93, 60)( 4, 11, 94, 51) 4822 ( 5, 15, 95, 55)( 6, 18, 96, 58)( 7, 19, 97, 59)( 8, 16, 98, 56) 4823 ( 9, 17, 99, 57)( 10, 13,100, 53)( 21, 64)( 22, 62)( 23, 70)( 24, 61) 4824 ( 25, 65)( 26, 68)( 27, 69)( 28, 66)( 29, 67)( 30, 63)( 31, 74, 41, 84 4825 )( 32, 72, 42, 82)( 33, 80, 43, 90)( 34, 71, 44, 81)( 35, 75, 45, 85) 4826 ( 36, 78, 46, 88)( 37, 79, 47, 89)( 38, 76, 48, 86)( 39, 77, 49, 87) 4827 ( 40, 73, 50, 83) ] ], 4828[ 9, 6584094720000, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 4829 "Alt(10) wreath Sym(2)", [ "A", 10, 2 ], 4830 [ ( 1, 10,100, 97, 27, 23, 13, 12, 72, 75, 35, 34, 54, 51)( 2, 80, 95, 37, 4831 24, 53, 11)( 3, 20, 92, 77, 25, 33, 14, 52, 71, 5, 40, 94, 57, 21) 4832 ( 4, 60, 91, 7, 30, 93, 17, 22, 73, 15, 32, 74, 55, 31) 4833 ( 6, 50, 98, 87, 29, 63, 16, 42, 78, 85, 39, 64, 56, 41, 8, 90, 99, 4834 67, 26, 43, 18, 82, 79, 65, 36, 44, 58, 81, 9, 70, 96, 47, 28, 83, 4835 19, 62, 76, 45, 38, 84, 59, 61)( 46, 48, 88, 89, 69, 66) 4836 ( 49, 68, 86), ( 1, 60)( 2, 58, 6, 55, 3, 52, 8, 56, 5, 53) 4837 ( 4, 54)( 7, 59)( 9, 57)( 10, 51)( 11, 80, 41, 90, 31, 20, 71, 50, 4838 81, 40)( 12, 78, 46, 85, 33)( 13, 72, 48, 86, 35)( 14, 74, 44, 84, 4839 34)( 15, 73, 42, 88, 36)( 16, 75, 43, 82, 38)( 17, 79, 47, 89, 37, 4840 19, 77, 49, 87, 39)( 18, 76, 45, 83, 32)( 21, 30)( 22, 28, 26, 25, 4841 23)( 27, 29)( 61,100)( 62, 98, 66, 95, 63, 92, 68, 96, 65, 93) 4842 ( 64, 94)( 67, 99)( 69, 97)( 70, 91) ] ], 4843[ 10, 13168189440000, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(10)^2.2^2", 4844 [ "A", 10, 2 ], 4845 [ ( 1, 69, 84, 51, 66, 74, 55, 6, 79, 85)( 2, 29, 87, 11, 63, 34, 58, 96, 4846 80, 45)( 3, 39, 88, 91, 70, 44, 52, 26, 77, 15)( 4, 59, 86, 71, 65) 4847 ( 5, 9, 89, 81, 61, 64, 54, 56, 76, 75)( 7, 19, 83, 31, 68, 94, 60, 4848 46, 72, 25)( 8, 99, 90, 41, 62, 24, 57, 16, 73, 35)( 10, 49, 82, 21, 4849 67, 14, 53, 36, 78, 95)( 12, 23, 37, 18, 93, 40, 48, 92, 30, 47) 4850 ( 13, 33, 38, 98,100, 50, 42, 22, 27, 17)( 20, 43, 32, 28, 97), 4851 ( 1, 88, 6, 68, 5, 98, 2, 18)( 3, 78, 7, 28)( 4, 58)( 9, 38) 4852 ( 10, 48)( 11, 81, 86, 66, 65, 95, 92, 12)( 13, 71, 87, 26, 63, 75, 4853 97, 22)( 14, 51, 84, 56, 64, 55, 94, 52)( 15, 91, 82, 16, 61, 85, 4854 96, 62)( 17, 21, 83, 76, 67, 25, 93, 72)( 19, 31, 89, 36, 69, 35, 4855 99, 32)( 20, 41, 90, 46, 70, 45,100, 42)( 23, 73, 77, 27) 4856 ( 24, 53, 74, 57)( 29, 33, 79, 37)( 30, 43, 80, 47)( 34, 59)( 40, 49) 4857 ( 44, 60) ] ], 4858[ 11, 13168189440000, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(10)^2.4", 4859 [ "A", 10, 2 ], 4860 [ ( 1, 27, 48, 75, 63, 10, 87, 42, 55, 66, 40, 84, 12, 59, 96, 31, 24, 18, 4861 79, 93)( 2, 57, 46, 35, 64, 20, 89, 92, 51, 26, 38, 74, 13, 9, 97, 4862 41, 25, 68, 80, 83)( 3, 7, 47, 45, 65, 70, 90, 82, 52, 56, 36, 34, 4863 14, 19, 99, 91, 21, 28, 78, 73)( 4, 17, 49, 95, 61, 30, 88, 72, 53, 4864 6, 37, 44, 15, 69,100, 81, 22, 58, 76, 33)( 5, 67, 50, 85, 62, 60, 4865 86, 32, 54, 16, 39, 94, 11, 29, 98, 71, 23, 8, 77, 43), 4866 ( 1, 58, 37, 26, 19, 83, 92, 45, 70, 71, 54, 7, 28, 39, 86, 12, 43, 4867 100, 75, 64)( 2, 48, 40, 76, 14, 3, 98, 35, 66, 11, 53, 97, 25, 69, 4868 81, 52, 47, 30, 79, 84)( 4, 8, 38, 36, 16, 13, 93, 95, 65, 61, 51, 4869 57, 27, 29, 89, 82, 42, 50, 80, 74)( 5, 68, 31, 56, 17, 23, 99, 85, 4870 62, 41, 60, 77, 24, 9, 88, 32, 46, 20, 73, 94)( 6, 18, 33, 96, 15, 4871 63, 91, 55, 67, 21, 59, 87, 22, 49, 90, 72, 44, 10, 78, 34) ] ], 4872[ 12, 26336378880000, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 4873 "Sym(10) wreath Sym(2)", [ "A", 10, 2 ], 4874 [ ( 1, 29, 15, 81, 28, 55, 82, 48, 60, 2, 49, 20)( 3, 69, 16, 71, 27, 95, 4875 83, 68, 56, 72, 47,100)( 4, 39, 14, 31, 24, 35, 84, 38, 54, 32, 44, 4876 40)( 5, 89, 18, 51, 22, 45, 90, 8, 59, 12, 41, 30) 4877 ( 6, 79, 17, 91, 23, 65, 86, 78, 57, 92, 43, 70)( 7, 99, 13, 61, 26, 4878 75, 87, 98, 53, 62, 46, 80)( 9, 19, 11, 21, 25, 85, 88, 58, 52, 42, 4879 50, 10)( 33, 64, 36, 74, 37, 94)( 63, 66, 76, 77, 97, 93) 4880 ( 67, 96, 73), ( 1, 47, 70, 79, 3, 17, 64, 39, 2, 87, 61, 49, 10, 4881 77, 63, 19, 4, 37, 62, 89)( 5, 57, 65, 59)( 6, 97, 68, 29) 4882 ( 7, 67, 69, 9)( 8, 27, 66, 99)( 11, 44, 40, 72, 83) 4883 ( 12, 84, 31, 42, 90, 71, 43, 20, 74, 33)( 13, 14, 34, 32, 82, 81, 41, 4884 50, 80, 73)( 15, 54, 35, 52, 85, 51, 45, 60, 75, 53)( 16, 94, 38, 22, 4885 86, 91, 48, 30, 76, 93, 18, 24, 36, 92, 88, 21, 46,100, 78, 23) 4886 ( 25, 56, 95, 58)( 26, 96, 98, 28) ] ], 4887[ 13, 259200, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6) wreath Sym(2)", 4888 [ "A", 6, 2 ], 4889 [ ( 1, 43, 62, 9, 50, 61, 3, 42, 69, 10, 41, 63, 2, 49, 70) 4890 ( 4, 47, 65, 8, 46, 64, 7, 45, 68, 6, 44, 67, 5, 48, 66) 4891 ( 11, 93, 22, 19,100, 21, 13, 92, 29, 20, 91, 23, 12, 99, 30) 4892 ( 14, 97, 25, 18, 96, 24, 17, 95, 28, 16, 94, 27, 15, 98, 26) 4893 ( 31, 33, 32, 39, 40)( 34, 37, 35, 38, 36)( 51, 73, 82, 59, 80, 81, 4894 53, 72, 89, 60, 71, 83, 52, 79, 90)( 54, 77, 85, 58, 76, 84, 57, 75, 4895 88, 56, 74, 87, 55, 78, 86), 4896 ( 1, 56, 18, 90, 25, 62)( 2, 6, 16, 20, 30, 22)( 3, 76, 17,100, 24, 4897 32)( 4, 36, 13, 80, 27, 92)( 5, 66, 11, 60, 28, 82) 4898 ( 7, 96, 14, 40, 23, 72)( 8, 86, 15, 70, 21, 52)( 9, 46, 19, 50, 4899 29, 42)( 10, 26, 12)( 31, 53, 78, 87, 95, 64)( 33, 73, 77, 97, 94, 4900 34)( 35, 63, 71, 57, 98, 84)( 37, 93, 74)( 38, 83, 75, 67, 91, 54) 4901 ( 39, 43, 79, 47, 99, 44)( 41, 59, 48, 89, 45, 69)( 51, 58, 88, 85, 4902 65, 61)( 55, 68, 81) ] ], 4903[ 14, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2", 4904 [ "A", 6, 2 ], 4905 [ ( 1, 32, 15, 6, 31, 12, 5, 36, 11, 2, 35, 16)( 3, 38, 14, 9, 33, 18, 4906 4, 39, 13, 8, 34, 19)( 7, 37, 17)( 10, 40, 20)( 21, 22, 25, 26) 4907 ( 23, 28, 24, 29)( 41, 62, 75, 46, 61, 72, 45, 66, 71, 42, 65, 76) 4908 ( 43, 68, 74, 49, 63, 78, 44, 69, 73, 48, 64, 79)( 47, 67, 77) 4909 ( 50, 70, 80)( 51, 82, 95, 56, 81, 92, 55, 86, 91, 52, 85, 96) 4910 ( 53, 88, 94, 59, 83, 98, 54, 89, 93, 58, 84, 99)( 57, 87, 97) 4911 ( 60, 90,100), ( 1, 4, 44, 41)( 2, 34, 47, 21, 3, 74, 49, 81) 4912 ( 5, 54, 46, 91, 8, 14, 50, 61)( 6, 94, 48, 11, 10, 64, 45, 51) 4913 ( 7, 24, 43, 71, 9, 84, 42, 31)( 12, 40, 67, 25, 53, 76, 99, 88) 4914 ( 13, 80, 69, 85, 52, 36, 97, 28)( 15, 60, 66, 95, 58, 16,100, 68) 4915 ( 17, 30, 63, 75, 59, 86, 92, 38)( 18, 20, 70, 65, 55, 56, 96, 98) 4916 ( 19, 90, 62, 35, 57, 26, 93, 78)( 22, 33, 77, 29, 83, 72, 39, 87) 4917 ( 23, 73, 79, 89, 82, 32, 37, 27) ] ], 4918[ 15, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2", 4919 [ "A", 6, 2 ], 4920 [ ( 1, 22, 91, 28, 71, 27)( 2, 92, 98, 78, 77, 7)( 3, 12, 99, 88, 75, 67 4921 )( 4, 42, 96, 38, 80, 57)( 5, 62, 93, 18, 79, 87)( 6, 32,100, 58, 4922 74, 47)( 8, 72, 97)( 9, 82, 95, 68, 73, 17)( 10, 52, 94, 48, 76, 4923 37)( 11, 29, 81, 25, 61, 23)( 13, 19, 89, 85, 65, 63) 4924 ( 14, 49, 86, 35, 70, 53)( 15, 69, 83)( 16, 39, 90, 55, 64, 43) 4925 ( 20, 59, 84, 45, 66, 33)( 24, 41, 26, 31, 30, 51)( 34, 50, 56) 4926 ( 36, 40, 60, 54, 44, 46), ( 1, 70, 92, 74, 29, 85, 56, 33, 47, 18) 4927 ( 2, 80, 99, 84, 26, 35, 57, 13, 41, 68)( 3, 50, 98, 4, 30, 95, 54, 4928 23, 45, 58)( 5, 60, 93, 44, 28)( 6, 40, 97, 14, 21, 65, 52, 73, 49, 4929 88)( 7, 20, 91, 64, 22, 75, 59, 83, 46, 38)( 8, 10,100, 94, 24, 25, 4930 55, 53, 43, 48)( 9, 90, 96, 34, 27, 15, 51, 63, 42, 78) 4931 ( 11, 61, 62, 72, 79, 89, 86, 36, 37, 17)( 12, 71, 69, 82, 76, 39, 87, 4932 16, 31, 67)( 19, 81, 66, 32, 77) ] ], 4933[ 16, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.4", 4934 [ "A", 6, 2 ], 4935 [ ( 1, 21, 61, 91, 81)( 2, 27, 66,100, 82, 7, 26, 70, 92, 87, 6, 30, 62, 4936 97, 86, 10, 22, 67, 96, 90)( 3, 24, 69, 98, 83, 4, 29, 68, 93, 84, 4937 9, 28, 63, 94, 89, 8, 23, 64, 99, 88)( 5, 25, 65, 95, 85) 4938 ( 11, 41, 51, 31, 71)( 12, 47, 56, 40, 72, 17, 46, 60, 32, 77, 16, 50, 4939 52, 37, 76, 20, 42, 57, 36, 80)( 13, 44, 59, 38, 73, 14, 49, 58, 33, 4940 74, 19, 48, 53, 34, 79, 18, 43, 54, 39, 78)( 15, 45, 55, 35, 75), 4941 ( 1, 22, 18, 35, 49, 66, 97, 10, 82, 13, 75, 44, 56, 91, 30, 88, 33, 4942 79, 64, 57)( 2, 12, 15, 45, 46, 96,100, 90, 83, 73, 74, 54, 51, 21, 4943 28, 38, 39, 69, 67, 7)( 3, 72, 14, 55, 41, 26, 98, 40, 89, 63, 77, 4944 4, 52, 11, 25, 48, 36, 99, 70, 87)( 5, 42, 16, 95, 50, 86, 93, 80, 4945 84, 53, 71, 24, 58, 31, 29, 68, 37, 9, 62, 17)( 6, 92, 20, 85, 43, 4946 76, 94, 60, 81, 23, 78, 34, 59, 61, 27, 8, 32, 19, 65, 47) ] ], 4947[ 17, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2", 4948 [ "A", 6, 2 ], 4949 [ ( 1, 41, 45, 15, 20, 10)( 2, 81, 49, 25, 13,100)( 3, 91, 42, 85, 19, 30 4950 )( 4, 31, 48, 65, 16, 80)( 5, 11, 50)( 6, 71, 44, 35, 18, 70) 4951 ( 7, 51, 47, 55, 17, 60)( 8, 61, 46, 75, 14, 40)( 9, 21, 43, 95, 4952 12, 90)( 22, 83, 99)( 23, 93, 92, 82, 89, 29)( 24, 33, 98, 62, 86, 4953 79)( 26, 73, 94, 32, 88, 69)( 27, 53, 97, 52, 87, 59) 4954 ( 28, 63, 96, 72, 84, 39)( 34, 38, 68, 66, 76, 74)( 36, 78, 64) 4955 ( 37, 58, 67, 56, 77, 54), ( 1, 12, 78, 94, 81, 42, 58, 24) 4956 ( 2, 18, 74, 91, 82, 48, 54, 21)( 3, 17, 80, 95, 83, 47, 60, 25) 4957 ( 4, 11, 72, 98, 84, 41, 52, 28)( 5, 13, 77,100, 85, 43, 57, 30) 4958 ( 6, 16, 76, 96, 86, 46, 56, 26)( 7, 20, 75, 93, 87, 50, 55, 23) 4959 ( 8, 14, 71, 92, 88, 44, 51, 22)( 9, 19, 79, 99, 89, 49, 59, 29) 4960 ( 10, 15, 73, 97, 90, 45, 53, 27)( 31, 62, 38, 64)( 32, 68, 34, 61) 4961 ( 33, 67, 40, 65)( 35, 63, 37, 70)( 36, 66)( 39, 69) ] ], 4962[ 18, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.4", 4963 [ "A", 6, 2 ], 4964 [ ( 1, 88, 76)( 2, 83, 77)( 3, 87, 72)( 4, 85, 80)( 5, 90, 74) 4965 ( 6, 81, 78)( 7, 82, 73)( 8, 86, 71)( 9, 89, 79)( 10, 84, 75) 4966 ( 11, 98, 66)( 12, 93, 67)( 13, 97, 62)( 14, 95, 70)( 15,100, 64) 4967 ( 16, 91, 68)( 17, 92, 63)( 18, 96, 61)( 19, 99, 69)( 20, 94, 65) 4968 ( 21, 38, 46)( 22, 33, 47)( 23, 37, 42)( 24, 35, 50)( 25, 40, 44) 4969 ( 26, 31, 48)( 27, 32, 43)( 28, 36, 41)( 29, 39, 49)( 30, 34, 45) 4970 ( 51, 58, 56)( 52, 53, 57)( 54, 55, 60), 4971 ( 1, 25, 37, 52, 8, 65, 33, 72, 6, 15, 34, 92, 9, 85, 40, 42) 4972 ( 2, 5, 35, 32)( 3, 75, 36, 12, 4, 95, 39, 82, 10, 45, 31, 22, 7, 4973 55, 38, 62)( 11, 24, 97, 59, 88, 70, 43, 71, 26, 17, 54, 98, 69, 83, 4974 80, 46)( 13, 74, 96, 19, 84,100, 49, 81, 30, 47, 51, 28, 67, 53, 78, 4975 66)( 14, 94, 99, 89, 90, 50, 41, 21, 27, 57, 58, 68, 63, 73, 76, 16) 4976 ( 18, 64, 93, 79, 86, 20, 44, 91, 29, 87, 60, 48, 61, 23, 77, 56) ] ], 4977[ 19, 518400, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2", 4978 [ "A", 6, 2 ], 4979 [ ( 1, 20, 83, 96, 4, 17, 81,100, 3, 16, 84, 97)( 2, 12, 82, 92) 4980 ( 5, 18, 89, 95, 8, 19, 85, 98, 9, 15, 88, 99)( 6, 14, 87, 91, 10, 4981 13, 86, 94, 7, 11, 90, 93)( 21, 50, 23, 46, 24, 47)( 22, 42) 4982 ( 25, 48, 29, 45, 28, 49)( 26, 44, 27, 41, 30, 43)( 31, 80, 53, 66, 4983 34, 77, 51, 70, 33, 76, 54, 67)( 32, 72, 52, 62)( 35, 78, 59, 65, 4984 38, 79, 55, 68, 39, 75, 58, 69)( 36, 74, 57, 61, 40, 73, 56, 64, 37, 4985 71, 60, 63), ( 1, 63, 87, 40, 94, 46)( 2, 53, 85, 30, 98, 76) 4986 ( 3, 83, 90,100, 96, 6)( 4, 43, 81, 70, 97, 36)( 5, 23, 88, 80, 4987 92, 56)( 7, 33, 84, 50, 91, 66)( 8, 73, 82, 60, 95, 26) 4988 ( 9, 13, 89, 20, 99, 16)( 10, 93, 86)( 11, 69, 17, 39, 14, 49) 4989 ( 12, 59, 15, 29, 18, 79)( 21, 68, 77, 32, 54, 45)( 22, 58, 75) 4990 ( 24, 48, 71, 62, 57, 35)( 25, 28, 78, 72, 52, 55)( 27, 38, 74, 42, 4991 51, 65)( 31, 64, 47)( 34, 44, 41, 61, 67, 37) ] ], 4992[ 20, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 4993 [ "A", 6, 2 ], 4994 [ ( 1, 46, 34, 88, 13, 30, 95, 79, 67, 52)( 2, 6, 36, 38, 18, 20,100, 99, 4995 69, 62)( 3, 26, 35, 78, 17, 60, 91, 49, 64, 82)( 4, 86, 33, 28, 15, 4996 80, 97, 59, 61, 42)( 5, 76, 37, 58, 11, 50, 94, 89, 63, 22) 4997 ( 7, 56, 31, 48, 14, 90, 93, 29, 65, 72)( 8, 16, 40, 98, 19, 70, 92, 4998 9, 66, 32)( 10, 96, 39, 68, 12)( 21, 45, 74, 87, 53)( 23, 25, 75, 77, 4999 57, 51, 41, 44, 84, 83)( 24, 85, 73, 27, 55, 71, 47, 54, 81, 43), 5000 ( 1, 94, 50, 56)( 2, 99, 42, 59)( 3, 95, 47, 58)( 4,100, 46, 51) 5001 ( 5, 97, 48, 53)( 6, 91, 44, 60)( 7, 98, 43, 55)( 8, 93, 45, 57) 5002 ( 9, 92, 49, 52)( 10, 96, 41, 54)( 11, 34, 70, 76)( 12, 39, 62, 79) 5003 ( 13, 35, 67, 78)( 14, 40, 66, 71)( 15, 37, 68, 73)( 16, 31, 64, 80) 5004 ( 17, 38, 63, 75)( 18, 33, 65, 77)( 19, 32, 69, 72)( 20, 36, 61, 74) 5005 ( 21, 24, 30, 26)( 22, 29)( 23, 25, 27, 28)( 81, 84, 90, 86)( 82, 89) 5006 ( 83, 85, 87, 88) ] ], 5007[ 21, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^3", 5008 [ "A", 6, 2 ], 5009 [ ( 1, 16, 3, 46, 7, 56)( 2, 96, 9, 76, 4, 26)( 5, 86, 10, 36, 8, 66 5010 )( 11, 13, 43, 47, 57, 51)( 12, 93, 49, 77, 54, 21)( 14, 23, 42, 97, 5011 59, 71)( 15, 83, 50, 37, 58, 61)( 17, 53, 41)( 18, 63, 45, 87, 60, 5012 31)( 19, 73, 44, 27, 52, 91)( 20, 33, 48, 67, 55, 81) 5013 ( 22, 92, 99, 79, 74, 24)( 25, 82,100, 39, 78, 64)( 28, 62, 95, 89, 5014 80, 34)( 29, 72, 94)( 30, 32, 98, 69, 75, 84)( 35, 88, 70) 5015 ( 38, 68, 65, 85, 90, 40), 5016 ( 1, 20, 2, 50, 9, 60)( 3, 70, 7, 90, 4, 40)( 5,100, 8, 80, 6, 5017 30)( 11, 12, 42, 49, 59, 51)( 13, 62, 47, 89, 54, 31) 5018 ( 14, 32, 43, 69, 57, 81)( 15, 92, 48, 79, 56, 21)( 16, 22, 45, 99, 5019 58, 71)( 17, 82, 44, 39, 53, 61)( 18, 72, 46, 29, 55, 91) 5020 ( 19, 52, 41)( 23, 65, 97, 88, 74, 36)( 24, 35, 93, 68, 77, 86) 5021 ( 25, 95, 98, 78, 76, 26)( 27, 85, 94, 38, 73, 66)( 28, 75, 96) 5022 ( 33, 63, 67, 87, 84, 34)( 37, 83, 64), 5023 ( 1, 2, 52, 56, 76, 80, 70, 63, 43, 41)( 3, 42, 51, 6, 72, 60, 66, 5024 73, 50, 61)( 4, 12, 55, 86, 77, 40, 69, 23, 48, 91) 5025 ( 5, 82, 57, 36, 79, 30, 68, 93, 44, 11)( 7, 32, 59, 26, 78,100, 64, 5026 13, 45, 81)( 8, 92, 54, 16, 75, 90, 67, 33, 49, 21)( 9, 22, 58, 96, 5027 74, 20, 65, 83, 47, 31)( 10, 62, 53, 46, 71)( 14, 15, 85, 87, 37, 39, 5028 29, 28, 98, 94)( 17, 35, 89, 27, 38, 99, 24, 18, 95, 84) 5029 ( 19, 25, 88, 97, 34) ] ], 5030[ 22, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 5031 [ "A", 6, 2 ], 5032 [ ( 1, 19, 3, 69, 4, 59, 2, 99)( 5, 79, 8, 29, 6, 39, 10, 89) 5033 ( 7, 49)( 11, 13, 63, 64, 54, 52, 92, 91)( 12, 93, 61, 14, 53, 62, 5034 94, 51)( 15, 73, 68, 24, 56, 32,100, 81)( 16, 33, 70, 84, 55, 72, 5035 98, 21)( 17, 43, 67, 44, 57, 42, 97, 41)( 18, 23, 66, 34, 60, 82, 5036 95, 71)( 20, 83, 65, 74, 58, 22, 96, 31)( 25, 76, 38, 30, 86, 35, 5037 80, 88)( 26, 36, 40, 90, 85, 75, 78, 28)( 27, 46, 37, 50, 87, 45, 5038 77, 48), ( 1, 81, 87, 7)( 2, 11, 82, 17)( 3, 41, 83, 47) 5039 ( 4, 71, 89, 57)( 5, 61, 90, 37)( 6, 21, 86, 27)( 8, 91, 88, 97) 5040 ( 9, 51, 84, 77)( 10, 31, 85, 67)( 13, 42)( 14, 72, 19, 52) 5041 ( 15, 62, 20, 32)( 16, 22)( 18, 92)( 23, 46)( 24, 76, 29, 56) 5042 ( 25, 66, 30, 36)( 28, 96)( 33, 45, 63, 50)( 34, 75, 69, 60) 5043 ( 35, 65, 70, 40)( 38, 95, 68,100)( 39, 55, 64, 80)( 44, 73, 49, 53) 5044 ( 48, 93)( 54, 74, 79, 59)( 58, 94, 78, 99) ] ], 5045[ 23, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 5046 [ "A", 6, 2 ], 5047 [ ( 1, 86, 35, 11, 96, 45, 61, 56, 75, 21, 6, 85, 31, 16, 95, 41, 66, 55, 5048 71, 26, 5, 81, 36, 15, 91, 46, 65, 51, 76, 25)( 2, 82, 32, 12, 92, 5049 42, 62, 52, 72, 22)( 3, 87, 39, 13, 97, 49, 63, 57, 79, 23, 7, 89, 5050 33, 17, 99, 43, 67, 59, 73, 27, 9, 83, 37, 19, 93, 47, 69, 53, 77, 5051 29)( 4, 90, 38, 14,100, 48, 64, 60, 78, 24, 10, 88, 34, 20, 98, 44, 5052 70, 58, 74, 30, 8, 84, 40, 18, 94, 50, 68, 54, 80, 28), 5053 ( 1, 95, 33, 4, 25, 32, 74, 30, 42, 79, 60, 46, 19, 57, 86, 18, 67, 5054 81, 98, 63)( 2, 75, 40, 44, 29, 52, 76, 20, 47, 89, 58, 66, 11, 97, 5055 83, 8, 65, 31, 94, 23)( 3, 5, 35, 34, 24, 22, 72, 80, 50, 49, 59, 5056 56, 16, 17, 87, 88, 68, 61, 91, 93)( 6, 15, 37, 84, 28, 62, 71,100, 5057 43, 9, 55, 36, 14, 27, 82, 78, 70, 41, 99, 53)( 7, 85, 38, 64, 21, 5058 92, 73, 10, 45, 39, 54, 26, 12, 77, 90, 48, 69, 51, 96, 13) ] ], 5059[ 24, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 5060 [ "A", 6, 2 ], 5061 [ ( 1, 77, 89, 23, 66, 55, 31, 17, 9, 73, 86, 25, 61, 57, 39, 13, 6, 75, 5062 81, 27, 69, 53, 36, 15)( 2, 80, 84, 22, 70, 54, 32, 20, 4, 72, 90, 5063 24, 62, 60, 34, 12, 10, 74, 82, 30, 64, 52, 40, 14)( 3, 76, 85, 21, 5064 67, 59, 33, 16, 5, 71, 87, 29, 63, 56, 35, 11, 7, 79, 83, 26, 65, 5065 51, 37, 19)( 8, 78, 88, 28, 68, 58, 38, 18)( 41, 47, 49, 43, 46, 45 5066 )( 42, 50, 44)( 91, 97, 99, 93, 96, 95)( 92,100, 94), 5067 ( 1, 38, 91, 33, 61, 32, 41, 36)( 2, 48, 96, 3, 68, 92, 43, 66) 5068 ( 4, 18, 95, 73, 69, 52, 50, 26)( 5, 78, 99, 53, 70, 22, 44, 16) 5069 ( 6, 8, 98, 93, 63, 62, 42, 46)( 7, 88, 97, 83, 67, 82, 47, 86) 5070 ( 9, 58,100, 23, 64, 12, 45, 76)( 10, 28, 94, 13, 65, 72, 49, 56) 5071 ( 11, 35, 71, 39, 51, 40, 21, 34)( 14, 15, 75, 79, 59, 60, 30, 24) 5072 ( 17, 85, 77, 89, 57, 90, 27, 84)( 19, 55, 80, 29, 54, 20, 25, 74) 5073 ( 37, 81) ] ], 5074[ 25, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 5075 [ "A", 6, 2 ], 5076 [ ( 1, 18, 93, 74, 46, 70, 32, 85, 29, 57)( 2, 88, 99, 54, 41, 20, 33, 75, 5077 26, 67)( 3, 78, 96, 64, 42, 90, 39, 55, 21, 17)( 4, 48,100, 34, 45, 5078 30, 37, 5, 28, 97)( 6, 68, 92, 84, 49, 60, 31, 15, 23, 77) 5079 ( 7, 8, 98, 94, 44, 50, 40, 35, 25, 27)( 9, 58, 91, 14, 43, 80, 36, 5080 65, 22, 87)( 10, 38, 95, 24, 47)( 11, 13, 73, 76, 66, 62, 82, 89, 59, 5081 51)( 12, 83, 79, 56, 61)( 16, 63, 72, 86, 69, 52, 81, 19, 53, 71), 5082 ( 1, 16, 62, 97, 41, 13, 32, 99, 81, 15, 52, 98, 21, 14, 72,100) 5083 ( 2, 96, 61, 17, 42, 93, 31, 19, 82, 95, 51, 18, 22, 94, 71, 20) 5084 ( 3, 36, 69, 87, 45, 53, 38, 29, 84, 75, 60, 8, 26, 64, 77, 50) 5085 ( 4, 76, 70, 7, 46, 63, 37, 49, 83, 35, 59, 88, 25, 54, 78, 30) 5086 ( 5, 56, 68, 27, 44, 73, 40, 9, 86, 65, 57, 48, 23, 34, 79, 90) 5087 ( 6, 66, 67, 47, 43, 33, 39, 89, 85, 55, 58, 28, 24, 74, 80, 10) 5088 ( 11, 12, 92, 91) ] ], 5089[ 26, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.(2 x 4)", 5090 [ "A", 6, 2 ], 5091 [ ( 1, 69, 8, 89, 7, 49, 3, 19)( 2, 59, 5, 79, 6, 39, 10, 29) 5092 ( 4, 99)( 11, 61, 68, 88, 87, 47, 43, 13)( 12, 51, 65, 78, 86, 37, 5093 50, 23)( 14, 91, 64, 98, 84, 97, 44, 93)( 15, 71, 66, 38, 90, 27, 5094 42, 53)( 16, 31, 70, 28, 82, 57, 45, 73)( 17, 41, 63, 18, 81, 67, 5095 48, 83)( 20, 21, 62, 58, 85, 77, 46, 33)( 22, 52, 55, 75, 76, 36, 5096 40, 30)( 24, 92, 54, 95, 74, 96, 34,100)( 25, 72, 56, 35, 80, 26, 5097 32, 60), ( 1, 33, 20, 89, 8, 53, 17, 79, 5, 23, 16, 99, 4, 43, 5098 12, 69)( 2, 63, 11, 39, 10, 83, 18, 59, 7, 73, 15, 29, 6, 93, 14, 5099 49)( 3, 13, 19, 9)( 21, 36,100, 84, 48, 52, 67, 71, 35, 30, 86, 98, 5100 54, 47, 72, 65)( 22, 66, 91, 34, 50, 82, 68, 51, 37, 80, 85, 28, 56, 5101 97, 74, 45)( 24, 46, 92, 64, 41, 32, 70, 81, 38, 60, 87, 78, 55, 27, 5102 76, 95)( 25, 26, 96, 94, 44, 42, 62, 61, 31, 40, 90, 88, 58, 57, 77, 5103 75) ] ], 5104[ 27, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.D_8", 5105 [ "A", 6, 2 ], 5106 [ ( 1, 79, 51, 49)( 2, 77, 52, 47)( 3, 78, 53, 48)( 4, 80, 54, 50) 5107 ( 5, 76, 55, 46)( 6, 75, 56, 45)( 7, 72, 57, 42)( 8, 73, 58, 43) 5108 ( 9, 71, 59, 41)( 10, 74, 60, 44)( 11, 39, 81, 99)( 12, 37, 82, 97) 5109 ( 13, 38, 83, 98)( 14, 40, 84,100)( 15, 36, 85, 96)( 16, 35, 86, 95) 5110 ( 17, 32, 87, 92)( 18, 33, 88, 93)( 19, 31, 89, 91)( 20, 34, 90, 94) 5111 ( 21, 29)( 22, 27)( 23, 28)( 24, 30)( 25, 26)( 61, 69)( 62, 67) 5112 ( 63, 68)( 64, 70)( 65, 66), 5113 ( 1, 25, 99, 12, 74, 68, 31, 30, 59, 13, 44, 66)( 2, 75, 98, 32, 80, 5114 58, 33, 50, 56, 3, 45, 96)( 4, 65, 91, 22, 79, 18, 34, 70, 51, 23, 5115 49, 16)( 5, 95, 92, 72, 78, 38, 40, 60, 53, 43, 46, 6) 5116 ( 7, 85, 97, 82, 77, 88, 37, 90, 57, 83, 47, 86)( 8, 35,100, 52, 73, 5117 48, 36, 10, 55, 93, 42, 76)( 9, 15, 94, 62, 71, 28, 39, 20, 54, 63, 5118 41, 26)( 11, 24, 69)( 14, 64, 61, 21, 29, 19)( 17, 84, 67, 81, 27, 5119 89) ] ], 5120[ 28, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.(2 x 4)", 5121 [ "A", 6, 2 ], 5122 [ ( 1, 15, 34, 43, 89, 57, 10, 25, 36, 93, 82, 77)( 2, 75, 31, 13, 84, 47, 5123 9, 55, 40, 23, 86, 97)( 3, 85, 37)( 4, 45, 39, 53, 90, 27, 6, 95, 5124 32, 73, 81, 17)( 5, 35, 33, 83, 87, 7)( 8, 65, 38, 63, 88, 67) 5125 ( 11, 14, 44, 49, 59, 60, 30, 26, 96, 92, 72, 71)( 12, 74, 41, 19, 54, 5126 50, 29, 56,100, 22, 76, 91)( 16, 94, 42, 79, 51, 20, 24, 46, 99, 52, 5127 80, 21)( 18, 64, 48, 69, 58, 70, 28, 66, 98, 62, 78, 61), 5128 ( 1, 71, 78, 8)( 2, 81, 74, 98, 7, 51, 75, 28)( 3, 61, 76, 38, 10, 5129 11, 79, 48)( 4, 91, 77, 58, 5, 21, 72, 88)( 6, 31, 80, 18, 9, 5130 41, 73, 68)( 12, 89, 44, 93, 67, 56, 35, 30)( 13, 69, 46, 33, 70, 5131 16, 39, 50)( 14, 99, 47, 53, 65, 26, 32, 90)( 15, 29, 42, 83, 64, 5132 96, 37, 60)( 17, 59, 45, 23, 62, 86, 34,100)( 19, 49, 43, 63, 66, 5133 36, 40, 20)( 22, 82, 84, 94, 97, 57, 55, 25)( 24, 92, 87, 54, 95, 5134 27, 52, 85) ] ], 5135[ 29, 1036800, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.(2 x 4)", 5136 [ "A", 6, 2 ], 5137 [ ( 1, 91, 94, 24, 23, 43, 49, 39, 40, 80, 72, 12, 18, 58, 56, 6) 5138 ( 2, 11, 98, 54, 26, 3, 41, 99, 34, 30, 73, 42, 19, 38, 60, 76) 5139 ( 4, 21, 93, 44, 29, 33, 50, 79, 32, 20, 78, 52, 16, 8, 51, 96) 5140 ( 5, 81, 95, 84, 25, 83, 45, 89, 35, 90, 75, 82, 15, 88, 55, 86) 5141 ( 7, 61, 97, 64, 27, 63, 47, 69, 37, 70, 77, 62, 17, 68, 57, 66) 5142 ( 9, 31,100, 74, 22, 13, 48, 59, 36, 10, 71, 92, 14, 28, 53, 46) 5143 ( 65, 87), ( 1, 28, 69, 97, 46, 34, 15, 82, 73, 51, 30, 9, 98, 66, 5144 37, 45, 84, 13, 52, 80)( 2, 78, 61, 27, 49, 94, 16, 32, 75, 81, 23, 5145 59,100, 6, 38, 65, 87, 43, 54, 20)( 3, 58, 70, 7, 48, 64, 17, 42, 5146 74, 11, 22, 79, 91, 26, 39, 95, 86, 33, 55, 90)( 4, 18, 62, 77, 41, 5147 24, 19, 92, 76, 31, 25, 89, 93, 56, 40, 5, 88, 63, 57, 50) 5148 ( 8, 68, 67, 47, 44, 14, 12, 72, 71, 21, 29, 99, 96, 36, 35, 85, 83, 5149 53, 60, 10) ] ], 5150[ 30, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2:4", 5151 [ "A", 6, 2 ], 5152 [ ( 1, 69, 11, 99, 41, 9, 61, 19, 91, 49)( 2, 63, 20, 94, 48, 6, 65, 17, 5153 92, 43, 10, 64, 18, 96, 45, 7, 62, 13,100, 44, 8, 66, 15, 97, 42, 5154 3, 70, 14, 98, 46, 5, 67, 12, 93, 50, 4, 68, 16, 95, 47) 5155 ( 21, 39, 71, 89, 51, 29, 31, 79, 81, 59)( 22, 33, 80, 84, 58, 26, 35, 5156 77, 82, 53, 30, 34, 78, 86, 55, 27, 32, 73, 90, 54, 28, 36, 75, 87, 5157 52, 23, 40, 74, 88, 56, 25, 37, 72, 83, 60, 24, 38, 76, 85, 57), 5158 ( 1, 73, 15, 31, 77, 45, 32, 97, 44, 82, 98, 24, 86, 68, 29, 56, 70, 5159 9, 53, 20)( 2, 93, 14, 81, 78, 25, 36, 67, 49, 52,100, 4, 83, 18, 5160 21, 76, 65, 39, 57, 50)( 3, 13, 11, 71, 75, 35, 37, 47, 42, 92, 94, 5161 84, 88, 28, 26, 66, 69, 59, 60, 10)( 5, 33, 17, 41, 72, 95, 34, 87, 5162 48, 22, 96, 64, 89, 58, 30, 6, 63, 19, 51, 80)( 7, 43, 12, 91, 74, 5163 85, 38, 27, 46, 62, 99, 54, 90, 8, 23, 16, 61, 79, 55, 40) ] ], 5164[ 31, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 5165 "Alt(6)^2.(2 x D_8)", [ "A", 6, 2 ], 5166 [ ( 1, 44, 69, 32, 58, 96, 25, 7, 74, 61, 42, 59, 36, 28, 97, 75) 5167 ( 2, 54, 66, 22, 57, 76, 21, 47, 79, 31, 48, 99, 35, 8, 94, 65) 5168 ( 3, 84, 63, 82, 53, 86, 23, 87, 73, 81, 43, 89, 33, 88, 93, 85) 5169 ( 4, 64, 62, 52, 56, 26, 27, 77, 71, 41, 49, 39, 38, 98, 95, 5) 5170 ( 6, 24, 67, 72, 51, 46, 29, 37, 78, 91, 45, 9, 34, 68, 92, 55) 5171 ( 10, 14, 70, 12, 60, 16, 30, 17, 80, 11, 50, 19, 40, 18,100, 15) 5172 ( 13, 90), ( 1, 5, 85, 81)( 2, 95, 88, 71)( 3, 15, 84, 41) 5173 ( 4, 45, 83, 11)( 6, 25, 86, 21)( 7, 55, 87, 51)( 8, 75, 82, 91) 5174 ( 9, 65, 90, 31)( 10, 35, 89, 61)( 12, 94, 48, 73)( 13, 14, 44, 43) 5175 ( 16, 24, 46, 23)( 17, 54, 47, 53)( 18, 74, 42, 93)( 19, 64, 50, 33) 5176 ( 20, 34, 49, 63)( 22, 96, 28, 76)( 27, 56)( 29, 66, 30, 36) 5177 ( 32, 99, 68, 80)( 37, 59, 67, 60)( 38, 79, 62,100)( 39, 69, 70, 40) 5178 ( 52, 97, 58, 77)( 72, 92, 98, 78), 5179 ( 1, 37, 59, 20, 23, 4, 36, 52, 11, 27, 9, 40, 53, 14, 26, 2, 31, 5180 57, 19, 30, 3, 34, 56, 12, 21, 7, 39, 60, 13, 24, 6, 32, 51, 17, 5181 29, 10, 33, 54, 16, 22)( 5, 35, 55, 15, 25)( 8, 38, 58, 18, 28) 5182 ( 41, 67, 99, 80, 83, 44, 66, 92, 71, 87, 49, 70, 93, 74, 86, 42, 61, 5183 97, 79, 90, 43, 64, 96, 72, 81, 47, 69,100, 73, 84, 46, 62, 91, 77, 5184 89, 50, 63, 94, 76, 82)( 45, 65, 95, 75, 85)( 48, 68, 98, 78, 88) ] 5185 ], 5186[ 32, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2:4", 5187 [ "A", 6, 2 ], 5188 [ ( 1, 23, 94, 2, 73, 91, 22, 74)( 3, 93, 92, 72, 71, 21, 24, 4) 5189 ( 5, 43,100, 32, 78, 61, 27, 54)( 6, 13, 96, 12, 76, 11, 26, 14) 5190 ( 7, 53, 95, 42, 80, 31, 28, 64)( 8, 63, 97, 52, 75, 41, 30, 34) 5191 ( 9, 83, 99, 82, 79, 81, 29, 84)( 10, 33, 98, 62, 77, 51, 25, 44) 5192 ( 15, 46, 20, 36, 18, 66, 17, 56)( 19, 86)( 35, 48, 70, 37, 58, 65, 5193 47, 60)( 38, 68, 67, 57, 55, 45, 50, 40)( 39, 88, 69, 87, 59, 85, 5194 49, 90), ( 1, 22, 47, 76)( 2, 27, 46, 71)( 3, 28, 45, 80) 5195 ( 4, 24, 44, 74)( 5, 30, 43, 78)( 6, 21, 42, 77)( 7, 26, 41, 72) 5196 ( 8, 25, 50, 73)( 9, 29, 49, 79)( 10, 23, 48, 75)( 11, 32, 17, 36) 5197 ( 12, 37, 16, 31)( 13, 38, 15, 40)( 14, 34)( 18, 35, 20, 33)( 19, 39) 5198 ( 51, 62, 87, 96)( 52, 67, 86, 91)( 53, 68, 85,100)( 54, 64, 84, 94) 5199 ( 55, 70, 83, 98)( 56, 61, 82, 97)( 57, 66, 81, 92)( 58, 65, 90, 93) 5200 ( 59, 69, 89, 99)( 60, 63, 88, 95) ] ], 5201[ 33, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 5202 "Alt(6)^2.(2 x D_8)", [ "A", 6, 2 ], 5203 [ ( 1, 10, 40, 35, 75, 74, 94, 93, 23, 27, 17, 18, 48, 42, 62, 61) 5204 ( 2, 70, 31, 5, 80, 34, 95, 73, 24, 97, 13, 28, 47, 12, 68, 41) 5205 ( 3, 30, 37, 15, 78, 44, 92, 63, 21, 7, 20, 38, 45, 72, 64, 91) 5206 ( 4,100, 33, 25, 77, 14, 98, 43, 22, 67, 11, 8, 50, 32, 65, 71) 5207 ( 6, 90, 39, 55, 76, 84, 99, 53, 26, 87, 19, 58, 46, 82, 69, 51) 5208 ( 9, 60, 36, 85, 79, 54, 96, 83, 29, 57, 16, 88, 49, 52, 66, 81) 5209 ( 56, 86, 89, 59), ( 1, 44, 17)( 2, 64, 20, 21, 43, 57) 5210 ( 3, 54, 12, 61, 50, 27)( 4, 14, 11, 41, 47, 7)( 5, 84, 18, 71, 5211 46, 97)( 6, 94, 15, 81, 48, 77)( 8, 74, 16, 91, 45, 87) 5212 ( 9, 34, 19, 31, 49, 37)( 10, 24, 13, 51, 42, 67)( 22, 63, 60) 5213 ( 23, 53, 52, 62, 70, 30)( 25, 83, 58, 72, 66,100)( 26, 93, 55, 82, 5214 68, 80)( 28, 73, 56, 92, 65, 90)( 29, 33, 59, 32, 69, 40) 5215 ( 35, 89, 38, 79, 36, 99)( 75, 86, 98)( 76, 96, 95, 85, 88, 78), 5216 ( 1, 5, 55, 59, 69, 61)( 2, 15, 57, 79, 64, 91)( 3, 85, 58, 29, 66, 5217 31)( 4, 95, 52, 19, 67, 71)( 6, 35, 53, 89, 68, 21) 5218 ( 7, 75, 54, 99, 62, 11)( 8, 25, 56, 39, 63, 81)( 9, 65, 51) 5219 ( 10, 45, 60, 49, 70, 41)( 12, 17, 77, 74, 94, 92)( 13, 87, 78, 24, 5220 96, 32)( 14, 97, 72)( 16, 37, 73, 84, 98, 22)( 18, 27, 76, 34, 93, 5221 82)( 20, 47, 80, 44,100, 42)( 23, 86, 38)( 26, 36, 33, 83, 88, 28) 5222 ( 30, 46, 40, 43, 90, 48) ] ], 5223[ 34, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 5224 "Alt(6)^2.(2 x D_8)", [ "A", 6, 2 ], 5225 [ ( 1, 22, 3, 24)( 2, 23, 4, 21)( 5, 27, 8, 30)( 6, 26) 5226 ( 7, 28, 10, 25)( 9, 29)( 11, 42, 13, 44)( 12, 43, 14, 41) 5227 ( 15, 47, 18, 50)( 16, 46)( 17, 48, 20, 45)( 19, 49)( 31, 52, 33, 54) 5228 ( 32, 53, 34, 51)( 35, 57, 38, 60)( 36, 56)( 37, 58, 40, 55)( 39, 59) 5229 ( 61, 72, 63, 74)( 62, 73, 64, 71)( 65, 77, 68, 80)( 66, 76) 5230 ( 67, 78, 70, 75)( 69, 79)( 81, 92, 83, 94)( 82, 93, 84, 91) 5231 ( 85, 97, 88,100)( 86, 96)( 87, 98, 90, 95)( 89, 99), 5232 ( 2, 81, 10, 41, 7, 51, 9, 31, 3, 21, 5, 11)( 4, 71, 6, 91, 8, 5233 61)( 12, 82, 90, 50, 47, 57, 59, 39, 33, 23, 25, 15) 5234 ( 13, 22, 85, 20, 42, 87, 60, 49, 37, 53, 29, 35)( 14, 72, 86,100, 48, 5235 67, 54, 79, 36, 93, 28, 65)( 16, 92, 88, 70, 44, 77, 56, 99, 38, 63, 5236 24, 75)( 17, 52, 89, 40, 43, 27, 55, 19, 32, 83, 30, 45) 5237 ( 18, 62, 84, 80, 46, 97, 58, 69, 34, 73, 26, 95)( 64, 74, 76, 96, 98, 5238 68)( 66, 94, 78), ( 1, 81, 87, 67, 62, 42, 50, 30, 25, 5) 5239 ( 2, 41, 90, 27, 65)( 3, 11, 84, 97, 68, 72, 49, 60, 26, 35) 5240 ( 4, 91, 88, 77, 69, 52, 46, 40, 23, 15)( 6, 31, 83, 17, 64, 92, 48, 5241 80, 29, 55)( 7, 61, 82, 47, 70, 22, 45, 10, 21, 85)( 8, 71, 89, 57, 5242 66, 32, 43, 20, 24, 95)( 9, 51, 86, 37, 63, 12, 44,100, 28, 75) 5243 ( 13, 14, 94, 98, 78, 79, 59, 56, 36, 33)( 16, 34, 93, 18, 74, 99, 58, 5244 76, 39, 53)( 19, 54, 96, 38, 73) ] ], 5245[ 35, 2073600, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, "Alt(6)^2.2^2:4", 5246 [ "A", 6, 2 ], 5247 [ ( 1, 57, 78, 42, 30, 84, 65, 31, 56, 8, 47, 80, 82, 25, 34, 66) 5248 ( 2, 27, 74, 62, 21, 54, 68, 41, 60, 88, 45, 40, 86, 5, 37, 76) 5249 ( 3, 97, 73, 92, 23, 94, 63, 91, 53, 98, 43,100, 83, 95, 33, 96) 5250 ( 4, 67, 71, 52, 28, 44, 70, 81, 55, 38, 46, 10, 87, 75, 32, 26) 5251 ( 6, 7, 77, 72, 22, 24, 64, 61, 51, 58, 48, 50, 90, 85, 35, 36) 5252 ( 9, 17, 79, 12, 29, 14, 69, 11, 59, 18, 49, 20, 89, 15, 39, 16) 5253 ( 13, 99), ( 1, 44, 69, 25, 6, 47, 63, 28)( 2, 42, 62, 22) 5254 ( 3, 48, 61, 24, 9, 45, 66, 27)( 4, 49, 65, 26, 7, 43, 68, 21) 5255 ( 5, 46, 67, 23, 8, 41, 64, 29)( 10, 50, 70, 30)( 11, 74, 59, 95, 5256 16, 77, 53, 98)( 12, 72, 52, 92)( 13, 78, 51, 94, 19, 75, 56, 97) 5257 ( 14, 79, 55, 96, 17, 73, 58, 91)( 15, 76, 57, 93, 18, 71, 54, 99) 5258 ( 20, 80, 60,100)( 31, 34, 39, 35, 36, 37, 33, 38)( 81, 84, 89, 85, 5259 86, 87, 83, 88) ] ], 5260[ 36, 4147200, 0, "4c", [ [ 81, 1 ], [ 18, 1 ] ], 1, 5261 "PGammaL(2, 9) wreath Sym(2)", [ "A", 6, 2 ], 5262 [ ( 1, 14, 90, 22, 68, 41, 34, 60, 2, 18, 81, 24, 70, 42, 38, 51, 4, 20, 5263 82, 28, 61, 44, 40, 52, 8, 11, 84, 30, 62, 48, 31, 54, 10, 12, 88, 5264 21, 64, 50, 32, 58)( 3, 17, 85, 29, 66, 43, 37, 55, 9, 16, 83, 27, 5265 65, 49, 36, 53, 7, 15, 89, 26, 63, 47, 35, 59, 6, 13, 87, 25, 69, 5266 46, 33, 57, 5, 19, 86, 23, 67, 45, 39, 56)( 71, 94, 80, 92, 78, 91, 5267 74,100, 72, 98)( 73, 97, 75, 99, 76, 93, 77, 95, 79, 96), 5268 ( 1, 66,100, 48, 82, 27, 15, 34, 59, 71, 63, 10, 46, 92, 28, 85, 37, 5269 19, 74, 53)( 2, 26, 95, 38, 89, 77, 13, 4, 56, 91, 68, 90, 47, 12, 5270 24, 55, 31, 69, 80, 43)( 3, 6, 96, 98, 88, 87, 17, 14, 54, 51, 61, 5271 70, 50, 42, 22, 25, 35, 39, 79, 73)( 5, 36, 99, 78, 83, 7, 16, 94, 5272 58, 81, 67, 20, 44, 52, 21, 65, 40, 49, 72, 23)( 8, 86, 97, 18, 84, 5273 57, 11, 64, 60, 41, 62, 30, 45, 32, 29, 75, 33, 9, 76, 93), 5274 ( 1, 19, 50, 4, 99, 43, 54, 92, 63, 56, 22, 67, 76, 21, 17, 80) 5275 ( 2, 69, 46, 24, 97, 73, 51, 12, 70, 6, 29, 47, 74, 91, 13, 60) 5276 ( 3, 59, 42, 64, 96, 23, 57, 72, 61, 16, 30, 7, 79, 41, 14,100) 5277 ( 5, 39, 48, 84, 95, 33, 58, 82, 65, 36, 28, 87, 75, 31, 18, 90) 5278 ( 8, 89, 45, 34, 98, 83, 55, 32, 68, 86, 25, 37, 78, 81, 15, 40) 5279 ( 9, 49, 44, 94, 93, 53, 52, 62, 66, 26, 27, 77, 71, 11, 20, 10) 5280 ( 35, 38, 88, 85) ] ], 5281[37, Factorial(100)/2,1,"2",[[99,1]],98, "Alt(100)", ["A",100, 1], "Alt"], 5282[38, Factorial(100),0,"2",[[99, 1]],100, "Sym(100)", ["A",100, 1], "Sym"]]; 5283PRIMGRP[101]:= 5284[[ 1, 101, 3, "1", [ [ 1, 100 ] ], 1, "C(101)", [ "Z", 101, 1 ], [ ] ], 5285[ 2, 202, 2, "1", [ [ 2, 50 ] ], 1, "D(2*101)", [ "Z", 101, 1 ], 5286 [ [ [ Z(101)^50 ] ] ] ], 5287[ 3, 404, 2, "1", [ [ 4, 25 ] ], 1, "101:4", [ "Z", 101, 1 ], 5288 [ [ [ Z(101)^25 ] ] ] ], 5289[ 4, 505, 2, "1", [ [ 5, 20 ] ], 1, "101:5", [ "Z", 101, 1 ], 5290 [ [ [ Z(101)^20 ] ] ] ], 5291[ 5, 1010, 2, "1", [ [ 10, 10 ] ], 1, "101:10", [ "Z", 101, 1 ], 5292 [ [ [ Z(101)^10 ] ] ] ], 5293[ 6, 2020, 2, "1", [ [ 20, 5 ] ], 1, "101:20", [ "Z", 101, 1 ], 5294 [ [ [ Z(101)^5 ] ] ] ], 5295[ 7, 2525, 2, "1", [ [ 25, 4 ] ], 1, "101:25", [ "Z", 101, 1 ], 5296 [ [ [ Z(101)^4 ] ] ] ], 5297[ 8, 5050, 2, "1", [ [ 50, 2 ] ], 1, "101:50", [ "Z", 101, 1 ], 5298 [ [ [ Z(101)^2 ] ] ] ], 5299[ 9, 10100, 2, "1", [ [ 100, 1 ] ], 2, "AGL(1, 101)", [ "Z", 101, 1 ], 5300 [ [ [ Z(101) ] ] ] ], 5301[10, Factorial(101)/2,1,"2",[[100,1]],99, "Alt(101)", ["A",101, 1], "Alt"], 5302[11, Factorial(101),0,"2",[[100, 1]],101, "Sym(101)", ["A",101, 1], "Sym"]]; 5303PRIMGRP[102]:= 5304[[ 1, 2448, 1, "2", [ [ 12, 1 ], [ 24, 3 ], [ 3, 1 ], [ 6, 1 ], [ 8, 1 ] ], 1, 5305 "PSL(2, 17)", [ "L", [ 2, 17 ], 1 ], 5306 [ ( 1, 2, 4, 8, 14, 24, 40, 59)( 3, 6, 11, 19, 31, 50, 68, 77) 5307 ( 5, 9, 16, 12, 21, 35, 7, 13)( 10, 18, 28, 44, 63, 83, 94, 47) 5308 ( 15, 26, 41, 61, 80, 32, 51, 69)( 17, 29, 46, 66, 84, 81, 93, 95) 5309 ( 20, 33, 53, 60, 49, 67, 78, 25)( 22, 37, 56, 36, 45, 65, 85, 54) 5310 ( 23, 38, 57, 75, 70, 89, 27, 43)( 30, 48, 64, 74, 52, 39, 58, 34) 5311 ( 42, 55, 73, 62, 82, 92, 99, 76)( 71, 90, 86, 96)( 72, 87) 5312 ( 79, 91, 88, 97, 98,101,102,100), 5313 ( 1, 3, 7)( 2, 5, 10)( 4, 9, 17)( 6, 12, 22)( 8, 15, 27) 5314 ( 11, 20, 34)( 13, 23, 39)( 14, 25, 38)( 16, 28, 45)( 18, 30, 49) 5315 ( 19, 32, 52)( 21, 36, 31)( 24, 41, 62)( 26, 42, 37)( 29, 47, 43) 5316 ( 33, 54, 72)( 35, 55, 74)( 40, 60, 79)( 44, 64, 80)( 46, 66, 86) 5317 ( 48, 61, 81)( 50, 68, 87)( 51, 70, 56)( 53, 71, 85)( 57, 76, 91) 5318 ( 58, 77, 67)( 59, 78, 92)( 63, 84, 73)( 65, 69, 88)( 75, 90, 98) 5319 ( 83, 95, 97)( 93, 94,100)( 96, 99,102) ] ], 5320[ 2, 515100, 1, "2", [ [ 101, 1 ] ], 2, "PSL(2, 101)", [ "L", [ 2, 101 ], 1 ], 5321 [ ( 3, 20, 72, 12, 49, 46, 71, 17, 74, 84, 38, 52, 54, 77, 95, 29, 42, 61, 5322 89, 48, 75, 14, 60, 26, 70, 55, 23,100, 32, 24, 13, 37, 11, 96,101, 5323 80, 41, 6, 36, 83, 43, 27, 87, 65, 47, 19, 98, 39, 97, 15) 5324 ( 4, 9, 94, 68, 92, 81, 73, 5, 82, 50, 35, 79, 45, 91, 30, 57, 16, 5325 44, 63, 76, 10, 28, 51, 53, 67, 21, 31, 88, 34, 59, 56, 93, 33, 85, 5326 102, 90, 8, 66, 7, 86, 58, 40, 18, 78, 62, 22, 69, 99, 64, 25), 5327 ( 1, 21, 2)( 3, 18, 77)( 4, 12, 72)( 5, 79, 33)( 6, 40,100) 5328 ( 7, 35, 94)( 8, 91, 9)( 10, 85, 99)( 11, 51, 20)( 13, 27,102) 5329 ( 14, 36, 69)( 15, 52, 22)( 16, 95, 55)( 17, 96, 57)( 19, 28, 83) 5330 ( 23, 62, 80)( 24, 75, 73)( 25, 66, 30)( 26, 49, 34)( 29, 84, 93) 5331 ( 31, 41, 65)( 32, 50, 89)( 37, 88, 39)( 38, 42, 59)( 43, 76, 98) 5332 ( 44, 56, 68)( 45, 64, 58)( 46, 87, 82)( 47, 71, 81)( 48, 67, 54) 5333 ( 53, 70, 74)( 60, 97, 90)( 61,101, 92)( 63, 86, 78) ] ], 5334[ 3, 1030200, 0, "2", [ [ 101, 1 ] ], 3, "PGL(2, 101)", 5335 [ "L", [ 2, 101 ], 1 ], 5336 [ ( 3, 53, 20, 67, 72, 21, 12, 31, 49, 88, 46, 34, 71, 59, 17, 56, 74, 93, 5337 84, 33, 38, 85, 52,102, 54, 90, 77, 8, 95, 66, 29, 7, 42, 86, 61, 5338 58, 89, 40, 48, 18, 75, 78, 14, 62, 60, 22, 26, 69, 70, 99, 55, 64, 5339 23, 25,100, 4, 32, 9, 24, 94, 13, 68, 37, 92, 11, 81, 96, 73,101, 5340 5, 80, 82, 41, 50, 6, 35, 36, 79, 83, 45, 43, 91, 27, 30, 87, 57, 5341 65, 16, 47, 44, 19, 63, 98, 76, 39, 10, 97, 28, 15, 51), 5342 ( 1, 21, 2)( 3, 18, 77)( 4, 12, 72)( 5, 79, 33)( 6, 40,100) 5343 ( 7, 35, 94)( 8, 91, 9)( 10, 85, 99)( 11, 51, 20)( 13, 27,102) 5344 ( 14, 36, 69)( 15, 52, 22)( 16, 95, 55)( 17, 96, 57)( 19, 28, 83) 5345 ( 23, 62, 80)( 24, 75, 73)( 25, 66, 30)( 26, 49, 34)( 29, 84, 93) 5346 ( 31, 41, 65)( 32, 50, 89)( 37, 88, 39)( 38, 42, 59)( 43, 76, 98) 5347 ( 44, 56, 68)( 45, 64, 58)( 46, 87, 82)( 47, 71, 81)( 48, 67, 54) 5348 ( 53, 70, 74)( 60, 97, 90)( 61,101, 92)( 63, 86, 78) ] ], 5349[4, Factorial(102)/2,1,"2",[[101,1]],100, "Alt(102)", ["A",102, 1], "Alt"], 5350[5, Factorial(102),0,"2",[[101, 1]],102, "Sym(102)", ["A",102, 1], "Sym"]]; 5351PRIMGRP[103]:= 5352[[ 1, 103, 3, "1", [ [ 1, 102 ] ], 1, "C(103)", [ "Z", 103, 1 ], [ ] ], 5353[ 2, 206, 2, "1", [ [ 2, 51 ] ], 1, "D(2*103)", [ "Z", 103, 1 ], 5354 [ [ [ Z(103)^51 ] ] ] ], 5355[ 3, 309, 2, "1", [ [ 3, 34 ] ], 1, "103:3", [ "Z", 103, 1 ], 5356 [ [ [ Z(103)^34 ] ] ] ], 5357[ 4, 618, 2, "1", [ [ 6, 17 ] ], 1, "103:6", [ "Z", 103, 1 ], 5358 [ [ [ Z(103)^17 ] ] ] ], 5359[ 5, 1751, 2, "1", [ [ 17, 6 ] ], 1, "103:17", [ "Z", 103, 1 ], 5360 [ [ [ Z(103)^6 ] ] ] ], 5361[ 6, 3502, 2, "1", [ [ 34, 3 ] ], 1, "103:34", [ "Z", 103, 1 ], 5362 [ [ [ Z(103)^3 ] ] ] ], 5363[ 7, 5253, 2, "1", [ [ 51, 2 ] ], 1, "103:51", [ "Z", 103, 1 ], 5364 [ [ [ Z(103)^2 ] ] ] ], 5365[ 8, 10506, 2, "1", [ [ 102, 1 ] ], 2, "AGL(1, 103)", [ "Z", 103, 1 ], 5366 [ [ [ Z(103) ] ] ] ], 5367[9, Factorial(103)/2,1,"2",[[102,1]],101, "Alt(103)", ["A",103, 1], "Alt"], 5368[10, Factorial(103),0,"2",[[102, 1]],103, "Sym(103)", ["A",103, 1], "Sym"]]; 5369PRIMGRP[104]:= 5370[[ 1, 546312, 1, "2", [ [ 103, 1 ] ], 2, "PSL(2, 103)", [ "L", [ 2, 103 ], 1 ], 5371 "psl" ], 5372[ 2, 1092624, 0, "2", [ [ 103, 1 ] ], 3, "PGL(2, 103)", 5373 [ "L", [ 2, 103 ], 1 ], "pgl" ], 5374[3, Factorial(104)/2,1,"2",[[103,1]],102, "Alt(104)", ["A",104, 1], "Alt"], 5375[4, Factorial(104),0,"2",[[103, 1]],104, "Sym(104)", ["A",104, 1], "Sym"]]; 5376PRIMGRP[105]:= 5377[[ 1, 40320, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, "PSL(3, 4).2", 5378 [ "L", [ 3, 4 ], 1 ], 5379 [ ( 1, 76)( 2, 84)( 3, 62)( 4, 13)( 5, 17)( 6, 78)( 7, 64)( 8, 67) 5380 ( 9, 97)( 10, 37)( 11,103)( 12, 63)( 14, 33)( 15, 59)( 16, 81) 5381 ( 18, 94)( 20, 25)( 21, 61)( 22, 68)( 23, 49)( 24, 60)( 27, 66) 5382 ( 28, 34)( 29, 41)( 30, 50)( 31, 83)( 32, 52)( 35, 75)( 36,105) 5383 ( 38, 53)( 39, 56)( 40, 57)( 42, 89)( 43, 96)( 44, 47)( 45, 69) 5384 ( 46, 80)( 48, 91)( 51,100)( 54, 58)( 55, 82)( 70, 79)( 71, 98) 5385 ( 72, 93)( 73, 86)( 74, 92)( 77, 95)( 85, 88)( 87,104)( 90,101), 5386 ( 1, 10)( 2, 5)( 3, 83, 90, 66)( 4, 6, 22, 34)( 7, 81, 89, 61) 5387 ( 8, 33, 48, 35)( 9,105, 17,101)( 12, 39, 60, 75)( 13, 95, 67, 93) 5388 ( 14, 36, 73, 84)( 15, 74, 76, 58)( 16, 99, 52, 79)( 18, 62, 53, 69) 5389 ( 19, 59, 41, 32)( 20, 65, 43, 71)( 21, 91)( 23, 96, 56, 70) 5390 ( 24, 25, 30, 29)( 26, 28, 92, 47)( 27, 45)( 31, 80, 51, 40) 5391 ( 37, 38, 68, 63)( 42, 98, 54,103)( 44,100, 55, 97)( 46, 82,104, 85) 5392 ( 49, 88, 94, 72)( 50, 78, 86, 87)( 57, 64, 77,102) ] ], 5393[ 2, 40320, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, "PSL(3, 4).2", 5394 [ "L", [ 3, 4 ], 1 ], 5395 [ ( 1, 57, 68, 22, 35, 27, 98, 71)( 2, 88, 37, 4, 7, 21, 62, 31) 5396 ( 3, 11, 81, 67, 10, 18, 91, 8)( 5, 60, 13, 48, 42, 45, 83, 16) 5397 ( 6, 96, 9, 97)( 12, 86, 44, 41, 87, 73, 54, 53)( 14, 23, 80, 40, 5398 28, 50, 52, 66)( 15,105, 33, 77, 36, 59, 34, 70)( 17,100, 39, 63, 5399 89, 72, 92,104)( 20, 85, 47, 74, 90, 61, 58, 56)( 24, 29, 84, 65, 5400 69, 38, 64, 99)( 25, 26, 51,103,101,102, 93, 94)( 30, 79, 76, 32, 5401 49, 95, 75, 46)( 43, 78, 55, 82), ( 1, 32, 15, 20, 10, 55, 87, 83) 5402 ( 2, 50, 73, 93, 11, 23, 39, 80)( 3, 51, 12, 76, 71, 79, 77, 75) 5403 ( 4, 9, 41, 8, 6,100, 98, 34)( 5, 46, 47, 99)( 7, 52, 92, 84, 5404 105, 95, 27, 64)( 13, 86,103, 97, 40, 57, 89, 42)( 14, 67,104, 61, 5405 78, 16, 88, 53)( 17, 22, 43, 70, 62, 35, 65, 36)( 18, 90, 58, 37, 5406 59, 66, 96, 94)( 19, 85, 81, 33,101, 68, 44, 48)( 21, 45,102, 49, 5407 30, 26, 74, 63)( 24, 60, 54, 38, 91, 56, 69, 82)( 28, 31, 29, 72) ] 5408 ], 5409[ 3, 80640, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, "PSL(3, 4).2^2", 5410 [ "L", [ 3, 4 ], 1 ], 5411 [ ( 1,105)( 2, 59)( 3, 21)( 5, 97)( 6, 73)( 7, 95)( 9, 15)( 10, 22) 5412 ( 11, 71)( 16, 45)( 17, 84)( 18, 93)( 19, 47)( 20, 60)( 23, 85) 5413 ( 24, 56)( 25, 96)( 26, 44)( 27, 31)( 28, 78)( 29, 82)( 30,104) 5414 ( 32,100)( 33, 54)( 34, 74)( 35, 63)( 38, 42)( 39, 43)( 40,102) 5415 ( 41, 50)( 46, 70)( 49, 79)( 51, 52)( 55, 87)( 57, 99)( 64, 94) 5416 ( 66, 69)( 67, 91)( 72, 77)( 80, 88)( 81, 83)( 86, 92), 5417 ( 1, 28, 15, 41, 96, 91)( 2, 29, 73, 85, 57, 21)( 3, 42, 58, 86, 59, 5418 71)( 4, 72,102)( 5, 47, 87, 70, 27, 11)( 6, 76, 9, 17, 19, 37) 5419 ( 7,101, 12, 56, 22, 31)( 8, 99, 49, 65, 53, 64)( 10, 25, 39,100, 5420 77, 45)( 13, 33, 75, 98, 20, 82)( 14, 36, 44, 97, 67, 35) 5421 ( 16, 18, 38, 92,104,105)( 23, 48, 46, 69, 32, 61)( 24, 88, 63) 5422 ( 26, 79, 74, 40, 60, 95)( 30, 51, 54, 94, 81, 93)( 34, 78, 68) 5423 ( 43, 84)( 50, 66)( 52, 90, 89, 62, 83, 80)( 55,103) ] ], 5424[ 4, 120960, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, 5425 "PSL(3, 4).Sym(3)", [ "L", [ 3, 4 ], 1 ], 5426 [ ( 2, 33)( 3, 25)( 4, 17)( 5, 35)( 6, 11)( 7, 47)( 8, 44)( 9, 45) 5427 ( 10, 34)( 12, 94)( 13, 50)( 15,102)( 16, 72)( 18, 29)( 19, 21) 5428 ( 20, 22)( 23, 68)( 24, 53)( 26, 90)( 27, 43)( 28, 42)( 30, 54) 5429 ( 32, 37)( 36, 64)( 38, 78)( 40, 77)( 41, 48)( 46, 67)( 49, 73) 5430 ( 51, 60)( 52, 74)( 55, 91)( 56, 98)( 57, 79)( 58, 75)( 59, 83) 5431 ( 61, 85)( 62, 86)( 63, 82)( 65, 84)( 66, 70)( 69, 87)( 71, 99) 5432 ( 76,101)( 80,105)( 81,104)( 89, 92)( 93, 97)( 95, 96)(100,103), 5433 ( 1, 55, 45)( 2, 19, 64)( 3, 99, 38)( 4, 68, 44)( 5, 43,102) 5434 ( 6, 23, 11)( 7, 25, 95)( 8, 36, 59)( 9, 56, 10)( 12,105, 81) 5435 ( 13, 17,100)( 14, 16, 80)( 15,104, 48)( 18, 72, 63)( 20,101, 67) 5436 ( 21, 35, 46)( 22, 98, 86)( 24, 82, 75)( 26, 96, 89)( 27, 33, 50) 5437 ( 28, 40, 49)( 29, 66, 39)( 30, 78, 94)( 31, 93, 42)( 32, 91, 34) 5438 ( 37, 41, 65)( 47, 79, 69)( 51,103, 87)( 52, 76, 85)( 53, 74, 57) 5439 ( 54, 60, 77)( 58, 71, 83)( 61, 73, 88)( 62, 92, 97)( 70, 90, 84) ] ], 5440[ 5, 120960, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, "PSL(3, 4).6", 5441 [ "L", [ 3, 4 ], 1 ], 5442 [ ( 1, 55)( 2, 46)( 3, 40)( 5, 50)( 7, 95)( 8, 65)( 9, 33)( 10, 32) 5443 ( 11, 23)( 13, 62)( 14,103)( 15, 54)( 17, 78)( 18, 79)( 19, 34) 5444 ( 20, 82)( 21,102)( 22,100)( 24, 31)( 25, 26)( 27, 56)( 28, 84) 5445 ( 29, 60)( 30, 99)( 35, 43)( 36, 53)( 37, 75)( 38, 69)( 39, 63) 5446 ( 41, 97)( 42, 66)( 44, 96)( 47, 74)( 48,101)( 49, 93)( 51, 81) 5447 ( 52, 83)( 57,104)( 58, 61)( 59, 70)( 64, 91)( 67, 94)( 68, 89) 5448 ( 71, 85)( 72, 92)( 77, 86)( 87,105)( 90, 98), 5449 ( 1, 65, 76)( 2, 32, 78)( 3,104, 61)( 4, 14, 5)( 6, 52, 84) 5450 ( 7, 88, 66)( 8, 38, 47)( 9, 80, 74)( 10,101, 28)( 11,100, 75) 5451 ( 12, 31, 59)( 13, 17, 33)( 15, 83, 63)( 16, 56, 77)( 18, 79, 69) 5452 ( 19, 30, 50)( 20, 54, 68)( 21, 87, 62)( 22, 58, 25)( 23, 96, 24) 5453 ( 26, 55, 82)( 27, 85, 64)( 29, 48, 42)( 34, 90, 37)( 35, 51,103) 5454 ( 36, 99,105)( 39, 81, 95)( 40,102, 57)( 41, 89, 91)( 43, 49, 60) 5455 ( 44, 53, 67)( 45, 70, 94)( 46, 97, 92)( 71, 86, 72)( 73, 98, 93) ] ], 5456[ 6, 241920, 0, "2", [ [ 8, 1 ], [ 64, 1 ], [ 32, 1 ] ], 1, "PSL(3, 4).D_12", 5457 [ "L", [ 3, 4 ], 1 ], 5458 [ ( 1, 9, 67, 72, 69, 30)( 2, 6, 68, 31, 61, 49)( 3, 12, 7, 92, 35, 36 5459 )( 4, 78, 21, 32, 76, 93)( 5, 43, 13, 25, 66, 52)( 8, 97, 27, 23, 5460 84, 20)( 10, 19, 91, 46,103, 80)( 11, 55, 37, 99, 48, 82) 5461 ( 14, 38,101)( 15, 16, 53, 39, 24, 33)( 17, 83, 22, 96, 45, 50) 5462 ( 18, 86)( 26, 34, 98, 71, 77,102)( 28, 95, 65)( 29, 79, 51) 5463 ( 40, 90, 47)( 41, 62,105, 70, 64, 74)( 42, 58)( 44, 81, 59, 57, 56, 5464 60)( 54, 87, 94)( 63,100, 75)( 73, 85, 89)( 88,104), 5465 ( 1, 16, 4, 18, 87, 83,102, 17, 89, 66)( 2, 71,101, 57, 15, 80, 56, 5466 76, 53, 43)( 3,100, 81, 39, 20, 64,103, 33, 40, 10) 5467 ( 5, 31, 32, 60, 73, 93, 45, 37, 90, 79)( 6, 24, 22, 42, 70, 98, 49, 5468 44, 75, 61)( 7, 41, 62, 69, 34, 94, 48, 35, 85, 8)( 9, 30, 59, 14, 5469 77)( 11, 67, 65, 88, 47, 99, 23, 84, 54, 95)( 12, 19, 92, 97, 58, 96, 5470 36, 82, 86, 78)( 13, 51, 29, 25, 46, 50, 74, 63, 21, 91) 5471 ( 26,105, 38, 27, 68, 52,104, 28, 72, 55) ] ], 5472[ 7, 40320, 0, "2", [ [ 12, 2 ], [ 48, 1 ], [ 32, 1 ] ], 1, "Sym(8)", 5473 [ "A", 8, 1 ], 5474 [ ( 1, 2, 4, 7, 11, 17, 24, 34)( 3, 6, 10, 15, 5, 9, 13, 21) 5475 ( 8, 12, 19, 27, 38, 52, 68, 83)( 14, 22, 30, 43, 59, 75, 90, 49) 5476 ( 16, 23, 32, 45, 61, 76, 84, 74)( 18, 26, 36, 50, 25, 35, 48, 60) 5477 ( 20, 29, 41, 56)( 28, 40, 54, 71, 88, 93, 65, 80)( 31, 44) 5478 ( 33, 42, 58, 73)( 37, 51, 66, 39, 53, 70, 86, 96)( 46, 63, 78, 67, 5479 82, 57, 47, 64)( 55, 72, 89, 98,102, 87, 95,101)( 62, 77, 91, 97) 5480 ( 69, 85, 94, 79)( 81, 92)( 99,103,104,100), 5481 ( 1, 3)( 2, 5)( 4, 8)( 9, 14)( 10, 16)( 11, 18)( 12, 20)( 17, 25) 5482 ( 19, 28)( 21, 30)( 22, 31)( 23, 33)( 26, 37)( 27, 39)( 29, 42) 5483 ( 32, 46)( 34, 47)( 35, 49)( 40, 55)( 41, 57)( 43, 60)( 45, 62) 5484 ( 48, 65)( 50, 53)( 51, 67)( 52, 69)( 58, 74)( 63, 79)( 64, 80) 5485 ( 66, 81)( 68, 84)( 70, 87)( 71, 72)( 75, 77)( 76, 91)( 82, 88) 5486 ( 83, 93)( 85, 95)( 86, 97)( 89, 99)( 92,100)( 94, 98)( 96,102) 5487 (101,104)(103,105) ] ], 5488[ 8, 653837184000, 1, "2", [ [ 78, 1 ], [ 26, 1 ] ], 1, "Alt(15)", 5489 [ "A", 15, 1 ], 5490 [ ( 1, 9, 4, 36, 66, 57, 64)( 2, 19, 89,102, 76, 65, 41)( 3, 24, 93, 5491 50, 92, 56, 6)( 5, 63, 46, 43, 98, 45, 20)( 7, 47, 26, 44, 69, 5492 53, 70)( 8, 33, 59, 58, 17, 90, 11)( 10,103, 84, 32, 82, 29, 95) 5493 ( 12, 55, 79, 77, 85, 67, 28)( 13, 51,105, 34, 72, 71, 97) 5494 ( 14, 68, 75, 60, 42, 87, 15)( 16, 80, 91, 74, 49, 83, 25) 5495 ( 18, 78, 40, 62, 52, 39, 37)( 21, 88,100, 35, 61, 99,104) 5496 ( 22, 73, 96, 48, 30,101, 81)( 23, 38, 54, 94, 27, 31, 86), 5497 ( 1, 5, 95, 13, 80, 94, 67, 46, 40, 43, 92, 88, 11, 89, 17) 5498 ( 2, 29, 4, 23, 83, 14, 38, 77, 84, 44,105, 59, 28, 73, 41) 5499 ( 3, 35, 49, 16, 78, 61, 33, 52, 58, 75, 54, 99, 76, 56, 6) 5500 ( 7, 51, 22, 72,100, 81, 39, 25,103, 45, 30, 55, 97, 98, 91) 5501 ( 8, 53, 36, 47, 37,102, 26, 86, 50, 32, 20,101, 48, 42, 9) 5502 ( 10, 68, 60, 65, 71, 15, 85, 64, 12, 87, 24, 27, 74,104, 31) 5503 ( 18, 66, 34, 90, 19, 63, 69, 57, 62, 70, 93, 21, 82, 96, 79) ] ], 5504[ 9, 1307674368000, 0, "2", [ [ 78, 1 ], [ 26, 1 ] ], 1, "Sym(15)", 5505 [ "A", 15, 1 ], 5506 [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57) 5507 ( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 65) 5508 ( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 74, 73, 81) 5509 ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 75, 83, 82, 89, 96) 5510 ( 25, 30, 35, 41, 47, 54, 61, 69, 76, 84, 91, 90, 97,101,104) 5511 ( 36, 42, 48, 55, 62, 70, 77, 85, 92, 80, 88, 95,100,103,105) 5512 ( 49, 56, 63, 71, 78, 86, 93, 98, 64, 72, 79, 87, 94, 99,102), 5513 ( 2, 4)( 6, 9)(12,16)(20,25)(30,36)(42,49)(56,64)(57,65)(66,73)(72,80) 5514 (74,82)(83,90)(88,91) ] ], 5515[10, Factorial(105)/2,1,"2",[[104,1]],103, "Alt(105)", ["A",105, 1], "Alt"], 5516[11, Factorial(105),0,"2",[[104, 1]],105, "Sym(105)", ["A",105, 1], "Sym"]]; 5517PRIMGRP[106]:= 5518[[1, Factorial(106)/2,1,"2",[[105,1]],104, "Alt(106)", ["A",106, 1], "Alt"], 5519[2, Factorial(106),0,"2",[[105, 1]],106, "Sym(106)", ["A",106, 1], "Sym"]]; 5520PRIMGRP[107]:= 5521[[ 1, 107, 3, "1", [ [ 1, 106 ] ], 1, "C(107)", [ "Z", 107, 1 ], [ ] ], 5522[ 2, 214, 2, "1", [ [ 2, 53 ] ], 1, "D(2*107)", [ "Z", 107, 1 ], 5523 [ [ [ Z(107)^53 ] ] ] ], 5524[ 3, 5671, 2, "1", [ [ 53, 2 ] ], 1, "107:53", [ "Z", 107, 1 ], 5525 [ [ [ Z(107)^2 ] ] ] ], 5526[ 4, 11342, 2, "1", [ [ 106, 1 ] ], 2, "AGL(1, 107)", [ "Z", 107, 1 ], 5527 [ [ [ Z(107) ] ] ] ], 5528[5, Factorial(107)/2,1,"2",[[106,1]],105, "Alt(107)", ["A",107, 1], "Alt"], 5529[6, Factorial(107),0,"2",[[106, 1]],107, "Sym(107)", ["A",107, 1], "Sym"]]; 5530PRIMGRP[108]:= 5531[[ 1, 612468, 1, "2", [ [ 107, 1 ] ], 2, "PSL(2, 107)", [ "L", [ 2, 107 ], 1 ], 5532 "psl" ], 5533[ 2, 1224936, 0, "2", [ [ 107, 1 ] ], 3, "PGL(2, 107)", 5534 [ "L", [ 2, 107 ], 1 ], "pgl" ], 5535[3, Factorial(108)/2,1,"2",[[107,1]],106, "Alt(108)", ["A",108, 1], "Alt"], 5536[4, Factorial(108),0,"2",[[107, 1]],108, "Sym(108)", ["A",108, 1], "Sym"]]; 5537PRIMGRP[109]:= 5538[[ 1, 109, 3, "1", [ [ 1, 108 ] ], 1, "C(109)", [ "Z", 109, 1 ], [ ] ], 5539[ 2, 218, 2, "1", [ [ 2, 54 ] ], 1, "D(2*109)", [ "Z", 109, 1 ], 5540 [ [ [ Z(109)^54 ] ] ] ], 5541[ 3, 327, 2, "1", [ [ 3, 36 ] ], 1, "109:3", [ "Z", 109, 1 ], 5542 [ [ [ Z(109)^36 ] ] ] ], 5543[ 4, 436, 2, "1", [ [ 4, 27 ] ], 1, "109:4", [ "Z", 109, 1 ], 5544 [ [ [ Z(109)^27 ] ] ] ], 5545[ 5, 654, 2, "1", [ [ 6, 18 ] ], 1, "109:6", [ "Z", 109, 1 ], 5546 [ [ [ Z(109)^18 ] ] ] ], 5547[ 6, 981, 2, "1", [ [ 9, 12 ] ], 1, "109:9", [ "Z", 109, 1 ], 5548 [ [ [ Z(109)^12 ] ] ] ], 5549[ 7, 1308, 2, "1", [ [ 12, 9 ] ], 1, "109:12", [ "Z", 109, 1 ], 5550 [ [ [ Z(109)^9 ] ] ] ], 5551[ 8, 1962, 2, "1", [ [ 18, 6 ] ], 1, "109:18", [ "Z", 109, 1 ], 5552 [ [ [ Z(109)^6 ] ] ] ], 5553[ 9, 2943, 2, "1", [ [ 27, 4 ] ], 1, "109:27", [ "Z", 109, 1 ], 5554 [ [ [ Z(109)^4 ] ] ] ], 5555[ 10, 3924, 2, "1", [ [ 36, 3 ] ], 1, "109:36", [ "Z", 109, 1 ], 5556 [ [ [ Z(109)^3 ] ] ] ], 5557[ 11, 5886, 2, "1", [ [ 54, 2 ] ], 1, "109:54", [ "Z", 109, 1 ], 5558 [ [ [ Z(109)^2 ] ] ] ], 5559[ 12, 11772, 2, "1", [ [ 108, 1 ] ], 2, "AGL(1, 109)", [ "Z", 109, 1 ], 5560 [ [ [ Z(109) ] ] ] ], 5561[13, Factorial(109)/2,1,"2",[[108,1]],107, "Alt(109)", ["A",109, 1], "Alt"], 5562[14, Factorial(109),0,"2",[[108, 1]],109, "Sym(109)", ["A",109, 1], "Sym"]]; 5563PRIMGRP[110]:= 5564[[ 1, 647460, 1, "2", [ [ 109, 1 ] ], 2, "PSL(2, 109)", [ "L", [ 2, 109 ], 1 ], 5565 "psl" ], 5566[ 2, 1294920, 0, "2", [ [ 109, 1 ] ], 3, "PGL(2, 109)", 5567 [ "L", [ 2, 109 ], 1 ], "pgl" ], 5568[3, Factorial(110)/2,1,"2",[[109,1]],108, "Alt(110)", ["A",110, 1], "Alt"], 5569[4, Factorial(110),0,"2",[[109, 1]],110, "Sym(110)", ["A",110, 1], "Sym"]]; 5570PRIMGRP[111]:= 5571[[1, Factorial(111)/2,1,"2",[[110,1]],109, "Alt(111)", ["A",111, 1], "Alt"], 5572[2, Factorial(111),0,"2",[[110, 1]],111, "Sym(111)", ["A",111, 1], "Sym"]]; 5573PRIMGRP[112]:= 5574[[ 1, 3265920, 1, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3)", 5575 [ "2A", [ 3, 3 ], 1 ], 5576 [ ( 1, 19, 42, 86, 66, 61, 56)( 2, 3, 83, 9, 99, 39, 27) 5577 ( 4, 67,102, 30, 76, 41,101)( 5, 92, 58, 64, 95, 94, 69) 5578 ( 6, 45, 34, 75, 47, 87, 28)( 7, 48, 29, 13, 33, 22, 80) 5579 ( 8, 32, 44, 81, 60, 23, 46)( 10, 36, 68, 65,105, 93, 14) 5580 ( 11, 84, 52, 78,107, 54, 18)( 12, 21, 63, 35, 82, 16, 20) 5581 ( 15, 31, 59,108,112, 24, 79)( 17, 88,110,111, 25, 96, 57) 5582 ( 26, 43, 40,109, 55,106, 38)( 37, 53, 51, 89, 62, 73, 70) 5583 ( 49, 72, 97,103, 91, 50,104)( 71,100, 74, 98, 90, 77, 85), 5584 ( 1, 40, 37, 15, 69, 59, 82)( 2, 68, 47, 11, 67, 6,101) 5585 ( 3, 12,109, 66,106, 38, 64)( 4, 60, 27, 8, 56, 81, 46) 5586 ( 5, 92, 14,110, 75, 43,107)( 7, 31, 70, 39, 80, 89, 65) 5587 ( 9, 18, 44, 76, 55, 51, 25)( 10, 41, 36, 95, 23, 98, 94) 5588 ( 13, 97, 42, 88, 74,104,108)( 16,103, 19, 20, 54, 85, 63) 5589 ( 17, 93, 21, 33, 22, 79, 91)( 24, 90, 96, 26,111,112, 32) 5590 ( 28, 71, 29,105, 86, 45, 35)( 30, 34, 62, 99, 58,100, 48) 5591 ( 49, 78, 53, 77, 72,102, 57)( 50, 84, 52, 73, 83, 61, 87) ] ], 5592[ 2, 6531840, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).2", 5593 [ "2A", [ 3, 3 ], 1 ], 5594 [ ( 1, 47, 65, 96,104, 86, 70, 37, 95, 36, 84, 38)( 2, 16, 41, 11, 15, 94, 5595 39, 55, 78, 62, 23, 13)( 3,100, 8, 75, 29,109, 14, 28, 44, 4, 50, 5596 103)( 5, 6, 9, 59)( 7, 74, 34)( 10, 31, 24, 45, 79,111) 5597 ( 12, 57, 30, 80,106, 97,101, 82,108, 83, 99,107)( 17, 64, 19, 66, 72, 5598 76, 26, 49, 89, 91, 90, 85)( 18, 92, 40, 81, 98, 33, 63, 88, 77, 51, 5599 46, 25)( 20, 32, 43, 68)( 21, 48, 61, 22,102,110)( 27, 42, 58, 54, 5600 93, 60, 71, 87, 56,112, 52, 67)( 35,105, 53, 73), 5601 ( 1, 49, 73,100, 56, 98, 51, 68, 80, 64)( 2, 92, 39, 91, 33, 48, 85, 5602 61, 93, 66)( 3, 5, 44, 78, 7, 72, 53, 17, 22, 67) 5603 ( 4,109,108,104, 58,107, 82, 81, 77, 30)( 6, 47, 9, 55, 19) 5604 ( 8, 14, 36, 35, 96)( 10, 15, 25, 27, 52, 42,110,106, 76, 99) 5605 ( 11, 65, 37, 26, 43)( 12, 88)( 13, 57, 40,105, 69)( 16, 63, 62, 50, 5606 90)( 18, 89, 41, 60, 59, 95, 29,102, 79, 20)( 21, 71, 34, 74,112, 5607 23,101, 87, 54, 24)( 28, 46, 32, 31, 45)( 38,111, 83, 84, 97) 5608 ( 70, 75, 86, 94,103) ] ], 5609[ 3, 6531840, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).2", 5610 [ "2A", [ 3, 3 ], 1 ], 5611 [ ( 1, 57, 96, 65, 29, 13)( 2, 24, 85, 67, 40, 6, 83, 94, 18,100, 20, 66) 5612 ( 3, 52,108,111, 95,107, 90, 28, 38, 15, 7, 35)( 4, 50, 82, 59, 99, 5613 112, 41, 69,110, 27, 58, 53)( 5, 80, 17, 62, 70, 43, 75, 25, 92, 76, 5614 61, 51)( 8, 73, 14, 97, 93, 88, 56, 16, 42, 54, 60, 84) 5615 ( 9, 89, 86, 21, 71,101, 78, 45, 98, 32, 91, 79)( 10, 64, 31, 23, 22, 5616 47)( 11, 87, 39, 48, 81, 55, 63, 72, 33, 49, 77,103)( 12, 74) 5617 ( 19, 68)( 26,109, 44, 36, 34, 30,104,105,106,102, 37, 46), 5618 ( 1, 31, 85, 63, 4, 82, 97, 99)( 2, 59, 76, 96,107, 74, 98, 50) 5619 ( 3, 83, 15, 33, 71, 51, 60, 68)( 5, 20, 34, 23, 90, 67, 94, 29) 5620 ( 6, 19, 11, 9, 78, 87, 53, 61)( 7, 32, 65, 75,106, 28, 55, 45) 5621 ( 8, 77, 44, 49, 17, 10, 35, 13)( 12,109,111, 69, 57, 46, 52, 81) 5622 ( 14, 38,110, 72)( 16, 64,101, 42)( 18, 80, 73, 66)( 21, 40, 36, 24, 5623 30, 86, 43, 89)( 22, 27,103, 92, 47, 48, 39, 62)( 25, 84,112, 88, 5624 54,108, 58, 26)( 37,105, 56, 95, 91, 93,100,102)( 41, 70,104, 79) ] 5625 ], 5626[ 4, 6531840, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).2", 5627 [ "2A", [ 3, 3 ], 1 ], 5628 [ ( 1,111, 6, 77, 14, 45)( 2, 25, 52, 64, 26, 20)( 3, 56, 44,101, 34, 69 5629 )( 4, 66, 15, 23, 11, 83)( 5, 88, 48, 32, 16, 68)( 7, 40) 5630 ( 8, 84, 19, 12, 70, 85)( 9, 79, 35,100, 60, 82)( 10, 37, 46, 55, 5631 110, 67)( 13, 91, 43,105, 49, 18)( 17, 62, 38, 63, 39,109) 5632 ( 21, 76, 89, 81, 59, 31)( 22, 58, 71,104, 27, 51)( 24,102, 61, 57, 5633 78, 28)( 29, 80,112, 65, 86, 96)( 30, 75, 90, 99, 94, 95) 5634 ( 33, 54, 72, 50,108, 93)( 36, 87, 42,106, 73,103)( 41, 98) 5635 ( 47, 97, 74, 92, 53,107), 5636 ( 1, 56, 53, 9, 36, 4, 58)( 2, 26, 96, 11, 49,111,105) 5637 ( 3, 87, 47, 66, 97, 39, 86)( 5, 85,104, 94, 6, 75,102) 5638 ( 7, 42, 90,103, 73, 13, 54)( 8, 80, 29, 24, 65, 83, 46) 5639 ( 10, 17, 71, 45, 98, 55, 62)( 12, 38, 44, 27,107, 16,109) 5640 ( 14, 91, 95, 32,110, 21, 84)( 15, 34, 51, 74, 22, 28,112) 5641 ( 18,100, 43, 64,101, 48, 72)( 19, 92, 78, 68, 52, 81, 50) 5642 ( 20, 67, 63, 88, 25, 31,108)( 23, 41, 76, 57, 59, 77, 93) 5643 ( 30, 70, 99, 37, 79, 60, 40)( 33, 82, 35, 89, 69,106, 61) ] ], 5644[ 5, 13063680, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).2^2", 5645 [ "2A", [ 3, 3 ], 1 ], 5646 [ ( 1, 4, 84, 56, 32, 11, 29, 33, 18, 14, 70, 64, 96, 23, 61, 60, 36, 99) 5647 ( 2, 39, 10,101, 98, 25, 17, 72, 55, 5, 35, 86, 97, 57, 58, 46, 85, 5648 102)( 3, 75,105, 38, 40, 92, 95, 16, 89)( 6, 37, 21, 87,108,103, 5649 88, 44, 66, 41, 7, 13, 80,104,107, 31, 90, 63)( 8, 24, 71, 74,109, 5650 15, 42, 73, 28, 12, 51, 45, 93, 76, 20, 19, 78, 67)( 9, 62, 53, 83, 5651 30, 69,111, 91, 59)( 22, 48, 34, 82, 77,106, 49, 65, 26) 5652 ( 43, 47, 52, 54, 81, 94,100,110, 79)( 50,112, 68), 5653 ( 1, 75,105,108, 23, 8, 72, 58, 69, 91)( 2, 83, 67, 61, 86, 87, 50, 5654 42, 7, 37)( 3,102, 12, 63, 16, 33, 68, 30, 92, 15) 5655 ( 4, 93, 32, 21, 78,110, 40, 17, 90, 85)( 5, 34,100, 38, 19) 5656 ( 6, 97, 84,106, 26, 22, 52,107, 31, 24)( 9, 39, 10, 11, 60) 5657 ( 13,101, 88, 44, 66, 54, 45, 57, 27, 55)( 14, 95,109, 70, 98, 77, 71, 5658 74, 56, 81)( 18, 41, 73, 82, 20, 43, 36, 65, 46, 51)( 25, 49,103, 64, 5659 94,104, 96, 59,112, 76)( 28, 80, 48, 53, 62, 35, 29, 79, 89, 47) ] ], 5660[ 6, 13063680, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).4", 5661 [ "2A", [ 3, 3 ], 1 ], 5662 [ ( 1, 85, 69, 54, 96, 67, 35, 78, 48, 73, 45, 51, 56, 77, 79, 8, 5, 60, 5663 52, 4, 93, 84,107, 20, 23, 61, 43, 66)( 2, 40, 98, 15, 95, 89,112, 5664 64, 57, 65, 14, 9,108, 68,106, 6, 42, 33, 81,103, 50, 36, 37, 21, 5665 100, 30,102, 27)( 3, 75, 80,101, 87, 53, 62, 83, 39,104, 28, 12, 76, 5666 38,110, 88, 16, 59, 49, 46,111, 91, 44, 72, 24, 55, 71, 47) 5667 ( 7, 34, 10, 82,105, 11, 29, 13, 32, 31, 58, 90, 26,109, 25, 17, 74, 5668 41, 63, 70, 94, 92, 99, 22, 19, 86, 97, 18), 5669 ( 1, 16, 61, 44, 24, 74, 70, 35, 94, 14, 13, 59, 22, 41) 5670 ( 2, 43, 90, 27,109, 55, 47, 30, 38, 23, 72, 3, 4,105) 5671 ( 5, 6, 89, 15, 91, 99, 46,106,107,108,112, 78, 34, 21) 5672 ( 7, 68, 50, 51, 88, 56, 63, 97, 93, 83,110, 19, 36, 64) 5673 ( 8, 9, 71, 54, 48, 58, 20, 42,111, 37, 73, 25, 53, 49) 5674 ( 10,104, 76, 62, 85, 18, 28, 31, 79, 92, 69, 82,100,101) 5675 ( 11, 77, 26, 66, 65, 80, 57, 98, 29, 40, 96, 75, 52, 39) 5676 ( 12, 32, 95, 33, 60,103, 67, 86, 17, 87, 84, 81,102, 45) ] ], 5677[ 7, 13063680, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).2^2", 5678 [ "2A", [ 3, 3 ], 1 ], 5679 [ ( 1, 52, 28, 7, 75, 47, 95, 74)( 2,100, 91, 71, 41, 60, 26, 86) 5680 ( 3, 33, 29, 56, 70, 45, 65, 27)( 4, 18, 36, 53,112, 98, 58,105) 5681 ( 6, 34, 37, 66)( 8, 13, 39, 76, 87, 22, 78, 90)( 9, 19, 72, 61, 5682 59, 64, 89, 62)( 10, 79, 23, 94, 25, 88, 15, 21)( 11, 96, 24, 43, 5683 110, 38, 81, 68)( 12, 82, 51,101,107,106,111, 30)( 14, 97, 16,104, 5684 54, 83,102,103)( 17, 77, 35, 32)( 20, 40)( 31, 84, 80, 63, 92, 44, 5685 108, 46)( 42, 55, 49, 50,109, 48, 85, 67)( 69, 99, 73, 93), 5686 ( 1, 57, 71,104, 86,100, 66, 28, 47, 4)( 2, 63, 27, 53, 35, 59, 26, 5687 67, 78, 13)( 3, 38, 55, 88, 6, 10, 70, 32, 99, 11) 5688 ( 5, 52, 49, 75, 83, 73, 42, 7, 60, 74)( 8,110, 72, 76, 33,107, 22, 5689 12, 44, 96)( 9, 37, 16, 41, 14, 21,108, 23, 62, 29)( 15, 50, 17, 64, 5690 98, 68, 45, 51, 80,106)( 18, 30, 94, 81, 31, 92, 87, 39, 46, 91) 5691 ( 19, 82, 61,102, 89, 93, 24,105, 43, 84)( 25,111, 77,101, 40, 56, 79, 5692 65, 90, 54)( 34,112,109, 95, 36)( 58, 85, 69,103, 97) ] ], 5693[ 8, 26127360, 0, "2", [ [ 81, 1 ], [ 30, 1 ] ], 1, "PSU(4, 3).D_8", 5694 [ "2A", [ 3, 3 ], 1 ], 5695 [ ( 1, 44, 6, 59, 23, 66,106,103, 65,105,109, 99)( 2, 26, 43, 19, 17, 78, 5696 100, 82, 97, 80, 54, 41)( 3, 94, 9,102, 32, 79, 18, 25, 67, 52,108, 5697 86)( 4,107, 28, 12, 77, 89, 14, 49, 29,104, 40, 87)( 5, 63, 98, 60, 5698 101, 64, 35, 75, 46, 53, 85, 20)( 7,111, 61)( 8, 71, 70, 74, 73, 5699 56, 15, 22, 91, 16, 95, 31)( 11, 76, 88, 83, 69, 30, 34, 84, 13, 42, 5700 51, 90)( 21, 72, 48,112, 92, 39, 96, 68, 37, 57, 33, 50) 5701 ( 24, 47, 93,110, 62, 81)( 27, 58)( 36, 45, 38), 5702 ( 1, 14, 96,110, 68, 66)( 2, 87, 60)( 3, 44, 84, 40, 46, 51, 69, 12, 5703 107, 82, 33, 99, 27,108, 20, 92, 31, 45,106, 93,101, 65, 73, 70) 5704 ( 4,112, 54, 36,109, 13, 24, 26, 77, 88, 32, 98, 18, 95,105, 78, 55, 5705 6, 71, 59, 94, 17, 85, 58)( 7, 34, 35, 9, 86, 89, 42, 38, 10, 79, 5706 28, 83, 37, 53, 67, 62, 61, 48, 19, 50, 11,100, 39, 47) 5707 ( 8, 41, 23, 64, 43, 91,104, 25,102,103, 52, 22, 74, 21, 72, 15, 49, 5708 81, 90, 57, 76, 97, 16, 75)( 29, 80)( 30, 63, 56) ] ], 5709[9, Factorial(112)/2,1,"2",[[111,1]],110, "Alt(112)", ["A",112, 1], "Alt"], 5710[10, Factorial(112),0,"2",[[111, 1]],112, "Sym(112)", ["A",112, 1], "Sym"]]; 5711PRIMGRP[113]:= 5712[[ 1, 113, 3, "1", [ [ 1, 112 ] ], 1, "C(113)", [ "Z", 113, 1 ], [ ] ], 5713[ 2, 226, 2, "1", [ [ 2, 56 ] ], 1, "D(2*113)", [ "Z", 113, 1 ], 5714 [ [ [ Z(113)^56 ] ] ] ], 5715[ 3, 452, 2, "1", [ [ 4, 28 ] ], 1, "113:4", [ "Z", 113, 1 ], 5716 [ [ [ Z(113)^28 ] ] ] ], 5717[ 4, 791, 2, "1", [ [ 7, 16 ] ], 1, "113:7", [ "Z", 113, 1 ], 5718 [ [ [ Z(113)^16 ] ] ] ], 5719[ 5, 904, 2, "1", [ [ 8, 14 ] ], 1, "113:8", [ "Z", 113, 1 ], 5720 [ [ [ Z(113)^14 ] ] ] ], 5721[ 6, 1582, 2, "1", [ [ 14, 8 ] ], 1, "113:14", [ "Z", 113, 1 ], 5722 [ [ [ Z(113)^8 ] ] ] ], 5723[ 7, 1808, 2, "1", [ [ 16, 7 ] ], 1, "113:16", [ "Z", 113, 1 ], 5724 [ [ [ Z(113)^7 ] ] ] ], 5725[ 8, 3164, 2, "1", [ [ 28, 4 ] ], 1, "113:28", [ "Z", 113, 1 ], 5726 [ [ [ Z(113)^4 ] ] ] ], 5727[ 9, 6328, 2, "1", [ [ 56, 2 ] ], 1, "113:56", [ "Z", 113, 1 ], 5728 [ [ [ Z(113)^2 ] ] ] ], 5729[ 10, 12656, 2, "1", [ [ 112, 1 ] ], 2, "AGL(1, 113)", [ "Z", 113, 1 ], 5730 [ [ [ Z(113) ] ] ] ], 5731[11, Factorial(113)/2,1,"2",[[112,1]],111, "Alt(113)", ["A",113, 1], "Alt"], 5732[12, Factorial(113),0,"2",[[112, 1]],113, "Sym(113)", ["A",113, 1], "Sym"]]; 5733PRIMGRP[114]:= 5734[[ 1, 721392, 1, "2", [ [ 113, 1 ] ], 2, "PSL(2, 113)", [ "L", [ 2, 113 ], 1 ], 5735 "psl" ], 5736[ 2, 1442784, 0, "2", [ [ 113, 1 ] ], 3, "PGL(2, 113)", 5737 [ "L", [ 2, 113 ], 1 ], "pgl" ], 5738[3, Factorial(114)/2,1,"2",[[113,1]],112, "Alt(114)", ["A",114, 1], "Alt"], 5739[4, Factorial(114),0,"2",[[113, 1]],114, "Sym(114)", ["A",114, 1], "Sym"]]; 5740PRIMGRP[115]:= 5741[[1, Factorial(115)/2,1,"2",[[114,1]],113, "Alt(115)", ["A",115, 1], "Alt"], 5742[2, Factorial(115),0,"2",[[114, 1]],115, "Sym(115)", ["A",115, 1], "Sym"]]; 5743PRIMGRP[116]:= 5744[[1, Factorial(116)/2,1,"2",[[115,1]],114, "Alt(116)", ["A",116, 1], "Alt"], 5745[2, Factorial(116),0,"2",[[115, 1]],116, "Sym(116)", ["A",116, 1], "Sym"]]; 5746PRIMGRP[117]:= 5747[[ 1, 11232, 0, "2", [ [ 12, 1 ], [ 24, 1 ], [ 48, 1 ], [ 16, 2 ] ], 1, 5748 "PSL(3, 3).2", [ "L", [ 3, 3 ], 1 ], 5749 [ ( 1, 62, 95, 48, 63, 5, 88, 82)( 2, 74, 99, 30, 68, 26, 86, 16) 5750 ( 3, 90, 28,106, 43, 33, 38, 23)( 4, 7,104, 50, 35, 34, 55, 45) 5751 ( 6, 12, 80, 36, 47, 44, 53, 14)( 8, 92, 41, 29)( 9, 15, 13, 46, 5752 20,100, 17,115)( 10, 93, 49, 85, 61, 87, 58, 65)( 11, 89, 40, 70, 5753 114, 66, 75,110)( 18, 98, 19, 56)( 21, 76, 72,113)( 22,108, 39, 78, 5754 54,111, 91, 79)( 24, 37, 69,105, 96, 73, 81,101)( 25,117, 60,102, 5755 51, 59, 52, 64)( 27, 97, 42, 31, 94, 83, 84,109)( 32, 57,112,107, 5756 103, 71, 77,116), ( 1, 85, 95,113, 86, 10)( 2, 54,115, 19, 32, 6) 5757 ( 3, 60, 14, 37, 65, 52)( 4, 51, 91)( 5, 73, 83, 56, 53, 28) 5758 ( 7,111,104, 97, 33, 70)( 8, 21, 44, 82, 81, 68)( 9, 78, 49, 80, 5759 36, 42)( 11, 47, 20, 64,108, 27)( 12, 50, 77, 92, 96, 58) 5760 ( 13, 15, 40, 24, 23,107)( 16, 72, 59, 94,109,116)( 17, 29, 31, 34, 5761 102, 69)( 18, 45, 76,114, 38, 57)( 22, 39,105,101, 88,112) 5762 ( 25, 46, 90, 55, 93, 26)( 30, 67,103, 43, 35, 84)( 41, 48, 79,106, 5763 62, 89)( 61,110, 71)( 63, 75,117)( 66,100, 87, 99, 98, 74) ] ], 5764[ 2, 6065280, 1, "2", [ [ 36, 1 ], [ 80, 1 ] ], 1, "PSL(4, 3)", 5765 [ "L", [ 4, 3 ], 1 ], 5766 [ ( 1, 37, 70,103, 74, 92, 2, 47,108, 18, 78, 65,104, 12, 63, 33,117, 79, 5767 112, 32)( 3,110, 27, 90, 22, 91,109,111, 73, 66, 54, 14, 77, 34, 88, 5768 16, 5, 40, 48, 76)( 4, 13, 80, 96, 39, 19, 87, 98,100, 31, 52, 26, 5769 114, 58, 23, 24, 71, 21, 11, 59)( 6, 51, 57,102, 67, 28, 15, 85,105, 5770 97, 17, 29, 25, 93, 7, 20, 9,116, 75, 53)( 8, 45, 41, 61, 46) 5771 ( 10,101, 42, 83, 38, 60, 49, 35, 94, 89, 44, 43, 95, 69,113, 86,115, 5772 106, 36, 62)( 30, 84)( 50, 81,107, 99, 56)( 55, 68, 64, 82, 72), 5773 ( 1,114, 21, 7, 54, 48,105, 24, 52,112, 10,115)( 2,110, 3, 83, 73, 5774 40,104, 27, 44, 36, 49,109)( 4, 19,108, 86, 43, 78, 98, 80, 67, 16, 5775 90, 75)( 5, 91, 94, 34, 77, 70,111, 60, 69,101, 14,117) 5776 ( 6,113, 87, 71, 42, 57, 17, 89, 13, 26,106, 25)( 8,107, 64, 97, 81, 5777 102, 55, 50, 61,103, 46, 92)( 9, 96, 35, 76, 62, 31, 15,100, 95, 88, 5778 38, 23)( 11, 39, 58, 59)( 12, 47, 72, 82, 37, 33, 53, 65, 56, 99, 79, 5779 93)( 18,116, 84, 20, 32, 68)( 22, 63, 66, 74)( 28, 41, 51, 29, 45, 85 5780 ) ] ], 5781[ 3, 12130560, 0, "2", [ [ 36, 1 ], [ 80, 1 ] ], 1, "PSL(4, 3).2", 5782 [ "L", [ 4, 3 ], 1 ], 5783 [ ( 1, 38, 36,101)( 2, 44, 11, 59)( 3, 37, 39,109)( 4,116,105, 30) 5784 ( 5, 15,113, 91)( 6, 32, 27, 56)( 7, 64, 89, 23)( 8,112, 47, 88) 5785 ( 9, 82, 60,115)( 10, 87, 98, 67)( 12,106, 40, 45)( 13, 51,110, 21) 5786 ( 14, 78, 46, 86)( 16, 97)( 17,104,108, 74)( 18, 22, 42, 68) 5787 ( 19, 93, 85, 25)( 20, 48, 66, 81)( 24, 75)( 26, 54, 96, 83) 5788 ( 28, 35, 72, 70)( 29,100)( 31, 58, 33, 49)( 34,111, 95, 76) 5789 ( 41, 62, 80,117)( 43, 69, 53,114)( 50, 55)( 52, 57, 84, 61) 5790 ( 63,103, 73,107)( 65, 94)( 71, 92)( 77, 90, 99, 79), 5791 ( 1,115, 83)( 2, 95, 98, 66, 68, 46, 60, 11,106)( 3, 34,114,111, 85, 5792 20, 50, 30, 61, 28, 47, 62, 58, 73, 16,105, 81, 63)( 4, 99, 55, 64, 5793 19, 53, 10, 88, 51)( 5, 22, 72, 79, 17,116, 41, 44, 14, 23, 94, 9, 5794 48,117, 90, 67, 43, 59)( 6, 93, 18)( 7, 13, 71, 15, 35, 54, 25, 5795 37, 24,107,103, 12, 82, 52, 65, 70, 91, 42)( 8,113, 76, 92,108, 33, 5796 86, 77, 45, 74, 21, 69, 26, 78, 87, 49,100, 75)( 27,102, 84, 32, 38, 5797 109, 36,101,110)( 29,104, 80, 31, 39, 96, 57, 97,112)( 40, 56, 89) ] 5798 ], 5799[4, Factorial(117)/2,1,"2",[[116,1]],115, "Alt(117)", ["A",117, 1], "Alt"], 5800[5, Factorial(117),0,"2",[[116, 1]],117, "Sym(117)", ["A",117, 1], "Sym"]]; 5801PRIMGRP[118]:= 5802[[1, Factorial(118)/2,1,"2",[[117,1]],116, "Alt(118)", ["A",118, 1], "Alt"], 5803[2, Factorial(118),0,"2",[[117, 1]],118, "Sym(118)", ["A",118, 1], "Sym"]]; 5804PRIMGRP[119]:= 5805[[ 1, 197406720, 1, "2", [ [ 64, 1 ], [ 54, 1 ] ], 1, "O-(8, 2)", 5806 [ "2D", [ 4, 2 ], 1 ], 5807 [ ( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 12)( 9, 13)( 14, 19)( 15, 20) 5808 ( 16, 22)( 17, 23)( 18, 25)( 24, 31)( 26, 33)( 27, 34)( 28, 36) 5809 ( 29, 38)( 30, 39)( 35, 45)( 37, 46)( 41, 48)( 42, 50)( 43, 51) 5810 ( 44, 53)( 47, 57)( 49, 59)( 52, 62)( 54, 64)( 55, 65)( 56, 67) 5811 ( 58, 70)( 60, 73)( 61, 74)( 63, 77)( 66, 80)( 68, 82)( 69, 75) 5812 ( 71, 84)( 72, 85)( 76, 88)( 78, 90)( 79, 91)( 81, 94)( 83, 97) 5813 ( 86,100)( 87,101)( 89,102)( 92,104)( 93,105)( 95,103)( 96,106) 5814 ( 99,107)(108,114)(109,115)(110,112)(113,117)(118,119), 5815 ( 1, 3, 6)( 2, 4, 8)( 5, 9, 14)( 7, 11, 16)( 10, 15, 21) 5816 ( 12, 17, 24)( 13, 18, 26)( 19, 27, 35)( 20, 28, 37)( 22, 29, 36) 5817 ( 23, 30, 40)( 25, 32, 42)( 31, 41, 49)( 33, 43, 52)( 34, 44, 54) 5818 ( 38, 39, 47)( 45, 55, 66)( 46, 56, 68)( 48, 58, 71)( 50, 60, 65) 5819 ( 51, 61, 75)( 53, 63, 78)( 57, 69, 73)( 59, 72, 86)( 62, 76, 89) 5820 ( 64, 79, 92)( 67, 81, 95)( 70, 83, 98)( 74, 87, 77)( 80, 93, 88) 5821 ( 82, 96, 97)( 84, 99,108)( 85, 90,103)( 91,101,110)( 94,100,109) 5822 (102,111,104)(105,112,116)(106,113,118)(114,115,117) ] ], 5823[ 2, 394813440, 0, "2", [ [ 64, 1 ], [ 54, 1 ] ], 1, "PSO-(8, 2)", 5824 [ "2D", [ 4, 2 ], 1 ], 5825 [ ( 3, 25)( 8, 21)( 9, 36)( 12, 74)( 15, 22)( 16, 63)( 17, 52)( 19, 77) 5826 ( 24, 60)( 27, 59)( 28, 32)( 30, 39)( 35, 86)( 40, 75)( 43, 71) 5827 ( 47, 57)( 48, 64)( 49,102)( 50, 95)( 51,101)( 68,116)( 80,109) 5828 ( 81,112)( 84, 87)( 94,106)( 97,107)( 98,103)(104,110), 5829 ( 1,103, 72, 21, 9, 92, 16, 19, 58, 52, 62, 70, 75, 82) 5830 ( 2, 20, 38, 44, 17, 61, 98)( 3, 77, 88, 13, 68,105, 57) 5831 ( 4, 95, 31,116,111, 6, 45, 12, 34, 64, 89, 86, 49,106) 5832 ( 5,115, 48, 46, 29, 79, 50)( 7, 99, 8, 84,110,119, 74) 5833 ( 10, 47, 22, 65, 39, 73, 97,104, 55, 66, 27, 14, 60, 76) 5834 ( 11, 78, 24, 96, 40, 23, 59)( 15, 53, 37,107, 43,102, 81) 5835 ( 18, 26,117, 33,118, 32,112, 25, 51, 87, 71,109, 42, 85) 5836 ( 28, 94, 56, 41, 35, 80, 93)( 30, 91, 69,114, 54,100, 90) 5837 ( 36,108, 67,113, 83, 63,101) ] ], 5838[3, Factorial(119)/2,1,"2",[[118,1]],117, "Alt(119)", ["A",119, 1], "Alt"], 5839[4, Factorial(119),0,"2",[[118, 1]],119, "Sym(119)", ["A",119, 1], "Sym"]]; 5840PRIMGRP[120]:= 5841[[ 1, 5040, 0, "2", [ [ 14, 2 ], [ 7, 1 ], [ 42, 1 ], [ 21, 2 ] ], 1, 5842 "Sym(7)", [ "A", 7, 1 ], 5843 [ ( 1, 2, 4, 6, 9, 14, 3)( 5, 8, 12, 19, 29, 44, 64) 5844 ( 7, 11, 17, 26, 39, 58, 61)( 10, 16, 24, 37, 56, 78, 99) 5845 ( 13, 21, 32, 49, 70, 93, 80)( 15, 23, 35, 54, 76, 96,109) 5846 ( 18, 28, 42, 62, 84, 48, 25)( 20, 31, 47, 68, 91,100, 50) 5847 ( 22, 34, 52, 74, 77, 98, 73)( 27, 41, 60, 83,103,110,119) 5848 ( 30, 46, 66, 89, 97,105, 88)( 33, 51, 72, 82,102,107,104) 5849 ( 36, 55, 43, 63, 40, 59, 81)( 38, 57, 79,101,113,111,112) 5850 ( 45, 65, 87, 94, 95,108,116)( 53, 75, 67, 90, 71, 85, 86) 5851 ( 69, 92,106,114,120,117,118), ( 1, 3)( 2, 5)( 4, 7)( 6, 10) 5852 ( 8, 13)( 9, 15)( 11, 18)( 12, 20)( 14, 22)( 16, 25)( 17, 27) 5853 ( 19, 30)( 21, 33)( 23, 36)( 24, 38)( 26, 40)( 28, 43)( 29, 45) 5854 ( 31, 48)( 32, 50)( 34, 53)( 35, 52)( 37, 54)( 39, 56)( 41, 61) 5855 ( 42, 62)( 44, 58)( 46, 67)( 47, 69)( 49, 71)( 51, 73)( 55, 77) 5856 ( 57, 80)( 59, 82)( 60, 79)( 63, 85)( 64, 86)( 65, 88)( 66, 81) 5857 ( 68, 83)( 70, 84)( 72, 89)( 74, 94)( 75, 95)( 76, 97)( 78,100) 5858 ( 87, 93)( 90,104)( 91,105)( 92,107)( 96,110)( 98,111)( 99,112) 5859 (101,114)(102,106)(103,115)(108,117)(109,118)(113,119)(116,120) ] ], 5860[ 2, 181440, 1, "2", [ [ 56, 1 ], [ 63, 1 ] ], 1, "Alt(9)", [ "A", 9, 1 ], 5861 [ ( 1, 2, 4, 8, 15, 27, 47)( 3, 6, 12, 22, 39, 64, 94) 5862 ( 5, 10, 19, 34, 20, 36, 58)( 7, 14, 25, 43, 38, 63, 92) 5863 ( 9, 17, 31, 53, 80, 91, 70)( 11, 21, 37, 62, 71, 98,112) 5864 ( 13, 24, 42, 67, 96,102,116)( 16, 29, 50, 75, 46, 61, 90) 5865 ( 18, 33, 57, 86, 23, 40, 59)( 26, 45, 56, 85, 97, 28, 41) 5866 ( 30, 52, 32, 55, 83,108, 79)( 35, 60, 88,104,114,117,107) 5867 ( 44, 69, 48, 73,101, 68, 81)( 49, 74,103, 78,106, 95, 82) 5868 ( 51, 77, 87, 93, 65, 84, 54)( 66, 76,105,100,115,111,120) 5869 ( 72, 99,113,109,118,110,119), ( 1, 3, 7)( 2, 5, 11)( 4, 9, 18) 5870 ( 6, 13, 22)( 8, 16, 30)( 10, 20, 37)( 12, 23, 41)( 14, 26, 46) 5871 ( 15, 28, 49)( 17, 32, 56)( 19, 35, 61)( 21, 38, 43)( 24, 27, 48) 5872 ( 25, 44, 70)( 29, 51, 78)( 31, 54, 82)( 33, 58, 75)( 34, 59, 87) 5873 ( 36, 45, 71)( 39, 65, 95)( 40, 66, 57)( 42, 68, 97)( 47, 72,100) 5874 ( 50, 76, 90)( 52, 79, 67)( 53, 81,107)( 55, 84,110)( 60, 89, 77) 5875 ( 62, 91, 80)( 63, 93, 69)( 64, 83,109)( 73,102,101)( 74,104, 92) 5876 ( 85,111,119)( 86,106, 88)( 94, 99,114)( 96,105, 98)(103,117,108) 5877 (112,120,116)(113,115,118) ] ], 5878[ 3, 4080, 1, "2", [ [ 17, 7 ] ], 1, "PSL(2, 16)", [ "L", [ 2, 16 ], 1 ], 5879 [ ( 1, 40)( 2, 78)( 3,118)( 4,112)( 5, 94)( 6,102)( 7, 88)( 8, 12) 5880 ( 9, 85)( 10, 91)( 11, 84)( 13, 19)( 14,114)( 15, 18)( 17,108) 5881 ( 20, 66)( 21, 47)( 22, 53)( 23,106)( 24, 41)( 25, 46)( 26, 58) 5882 ( 27,105)( 28, 57)( 29,115)( 31, 90)( 32, 52)( 33, 49)( 34, 76) 5883 ( 35, 51)( 36, 43)( 37,103)( 39, 44)( 42, 56)( 45, 71)( 48, 60) 5884 ( 50, 59)( 54, 98)( 55, 72)( 61, 69)( 62,111)( 63,109)( 65, 83) 5885 ( 67, 74)( 68,104)( 70, 73)( 75, 96)( 77, 80)( 79, 95)( 82, 99) 5886 ( 86, 93)( 87,100)( 92,113)( 97,107)(101,110)(117,120), 5887 ( 1,116, 18)( 2, 56,113)( 3, 70, 58)( 4, 65,105)( 5, 42, 43) 5888 ( 6, 50, 27)( 7, 16, 69)( 8, 89,106)( 9, 28, 55)( 10, 91, 59) 5889 ( 11, 98, 63)( 12, 92,120)( 13, 44, 76)( 14,100, 21)( 15,104, 94) 5890 ( 17, 82, 37)( 19, 74, 62)( 20,103, 67)( 22,112, 31)( 23, 40, 87) 5891 ( 24, 78, 34)( 25,119, 83)( 26, 96, 46)( 29, 90,117)( 30,107, 72) 5892 ( 32, 33, 97)( 35,114, 52)( 36, 79, 66)( 38,111, 81)( 39, 45,108) 5893 ( 41, 75, 84)( 47, 51, 54)( 48, 71, 80)( 49, 86, 95)( 53,109, 64) 5894 ( 57,102, 88)( 60,101, 73)( 61, 93,118)( 68, 85, 77)( 99,110,115) ] ], 5895[ 4, 8160, 0, "2", [ [ 34, 2 ], [ 17, 3 ] ], 1, "PSL(2, 16).2", 5896 [ "L", [ 2, 16 ], 1 ], 5897 [ ( 1, 82)( 2,110)( 3, 73)( 4,102)( 5, 41)( 6, 60)( 7,108)( 8, 63) 5898 ( 9, 14)( 10,117)( 11, 33)( 12, 97)( 13, 72)( 15, 92)( 16, 96) 5899 ( 17,120)( 18, 94)( 19, 67)( 20,111)( 21, 54)( 22, 74)( 23,106) 5900 ( 24,113)( 25, 32)( 26, 59)( 27, 57)( 28, 78)( 29, 30)( 31, 46) 5901 ( 34, 87)( 35, 83)( 36, 48)( 37, 49)( 38, 80)( 39, 84)( 40, 99) 5902 ( 42, 65)( 43,112)( 44,103)( 45, 71)( 47, 85)( 50, 66)( 51,104) 5903 ( 52, 61)( 53, 55)( 56, 68)( 58, 62)( 64, 93)( 69, 90)( 70, 76) 5904 ( 75, 81)( 77,119)( 79,107)( 86, 89)( 88, 91)( 95,109)( 98,114) 5905 (100,118)(101,105)(115,116), ( 1, 44, 19, 34)( 2, 77, 88, 50) 5906 ( 3,110, 56, 31)( 4, 83, 21, 14)( 5, 93, 55, 97)( 6, 48, 41, 42) 5907 ( 7,103, 66,102)( 8, 49, 17, 18)( 9, 87, 95, 30)( 10, 80, 62, 26) 5908 ( 11,109)( 12, 54, 47,115)( 13, 64, 58, 67)( 15, 68, 94, 23) 5909 ( 16, 69,104, 32)( 20, 38,101, 28)( 22,111, 39, 79)( 24, 36, 82, 89) 5910 ( 25, 84, 99,100)( 29, 63,116, 45)( 33, 52, 75, 81)( 35, 61) 5911 ( 37, 96, 46, 72)( 40, 60, 59, 86)( 43, 85, 51,113)( 53, 90, 65, 78) 5912 ( 57,105, 70, 74)( 71,108,119,120)( 76,118,114,107)( 91,112, 92,117) 5913 ] ], 5914[ 5, 16320, 0, "2", [ [ 34, 1 ], [ 68, 1 ], [ 17, 1 ] ], 1, "PSigmaL(2, 16)", 5915 [ "L", [ 2, 16 ], 1 ], 5916 [ ( 1, 52)( 2,109)( 3,101)( 4, 13)( 5, 72)( 6, 74)( 7, 45)( 8, 47) 5917 ( 9, 78)( 10,111)( 11, 94)( 12, 33)( 14, 40)( 15, 63)( 16, 39) 5918 ( 17, 83)( 18, 35)( 19, 50)( 20,102)( 21, 87)( 22, 79)( 23,100) 5919 ( 24, 28)( 25, 37)( 26, 71)( 27, 62)( 29, 84)( 30, 43)( 31, 66) 5920 ( 32, 92)( 34, 55)( 36,112)( 38, 91)( 41,117)( 42,107)( 44,105) 5921 ( 46, 80)( 48, 96)( 49, 85)( 51,106)( 53, 56)( 54, 89)( 57,103) 5922 ( 58, 73)( 59, 81)( 60, 70)( 61,110)( 64,113)( 65, 76)( 67, 88) 5923 ( 68, 86)( 69,108)( 75, 90)( 77, 95)( 82,119)( 93, 99)( 97,120) 5924 ( 98,104)(114,116)(115,118), 5925 ( 1, 86, 74, 49,106, 44,110, 53, 70, 8, 98, 3)( 2,114, 65, 15, 68, 5926 73, 77,118, 60, 47, 54, 27)( 4, 95,105, 28,100, 23, 5, 82, 57, 64, 5927 51,115)( 6, 75, 94, 62, 26, 18, 79,108, 12,103, 7, 17) 5928 ( 9,117, 83, 58, 37, 43, 24, 72, 97,101, 92, 84)( 10, 59,113, 42, 11, 5929 55,102, 90, 99, 22, 35, 21)( 13, 25, 76, 14, 89, 34, 20, 85,107, 93, 5930 87, 56)( 16, 19, 52, 39, 50, 32, 29, 31,119, 48, 88, 63) 5931 ( 30, 61,111, 67, 40,104, 36,109, 41, 38, 78,116)( 33, 96, 81, 45, 91, 5932 66,120,112, 71, 69, 46, 80) ] ], 5933[ 6, 20160, 1, "2", [ [ 56, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1, "PSL(3, 4)", 5934 [ "L", [ 3, 4 ], 1 ], 5935 [ ( 1, 58)( 2, 95)( 3, 34)( 4,106)( 5, 36)( 6, 57)( 7, 13)( 8, 31) 5936 ( 9, 56)( 10,104)( 11, 39)( 12, 30)( 14,117)( 15, 85)( 16, 53) 5937 ( 17, 73)( 18, 45)( 19, 77)( 20, 81)( 21, 28)( 22, 86)( 23, 26) 5938 ( 24,114)( 27, 55)( 29,100)( 32, 70)( 33, 91)( 35, 62)( 37, 46) 5939 ( 38, 97)( 40, 79)( 43,105)( 44,110)( 47, 50)( 48, 92)( 49, 59) 5940 ( 51, 94)( 52, 72)( 54, 76)( 60,112)( 61, 88)( 63, 98)( 64, 82) 5941 ( 65,115)( 66,109)( 68,118)( 69, 83)( 71,101)( 74,116)( 78, 84) 5942 ( 80, 90)( 87,108)( 93, 99)( 96,103)(102,111)(107,120), 5943 ( 1, 75, 86,117)( 2, 30, 66, 13)( 3, 38, 94,104)( 4, 42, 28,107) 5944 ( 5, 20, 92, 15)( 6, 22, 55, 95)( 7, 33, 72, 62)( 8, 64,119,108) 5945 ( 9, 37, 41,106)( 10, 18,118,112)( 11, 36,100, 35)( 12, 24,115, 25) 5946 ( 14, 45,111, 68)( 16,109, 82, 69)( 17,110, 27, 39)( 19, 98, 48, 67) 5947 ( 21, 50, 99, 93)( 23,102)( 26, 73, 56, 85)( 29, 49, 84, 53) 5948 ( 31, 91,116, 77)( 32, 54, 59,120)( 40, 60, 63, 97)( 43, 74) 5949 ( 44, 51,101, 89)( 46, 96, 47,113)( 52, 61, 90,103)( 57, 83, 81, 58) 5950 ( 65, 70, 80, 87)( 71,105, 78,114) ] ], 5951[ 7, 40320, 0, "2", [ [ 56, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1, "PSL(3, 4).2", 5952 [ "L", [ 3, 4 ], 1 ], 5953 [ ( 1, 36)( 3, 67)( 4, 64)( 5, 99)( 6, 54)( 7,118)( 8, 56)( 9, 21) 5954 ( 10,119)( 11, 57)( 12, 74)( 13, 94)( 14, 58)( 15,113)( 17, 33) 5955 ( 18,120)( 19, 43)( 22, 26)( 23, 24)( 27, 73)( 28, 76)( 29, 65) 5956 ( 30, 98)( 31, 39)( 32, 97)( 35, 89)( 37, 53)( 38, 88)( 40,110) 5957 ( 41,109)( 42, 95)( 46,101)( 47, 90)( 49, 51)( 50,117)( 59, 77) 5958 ( 61, 86)( 66,102)( 68,105)( 69, 81)( 70,114)( 72,107)( 75,111) 5959 ( 79,108)( 80, 93)( 82, 96)( 83, 84)( 92,100)(103,106), 5960 ( 1, 21, 8,119)( 2, 96, 40, 23)( 3, 92, 65, 10)( 4, 54, 79, 17) 5961 ( 5, 41, 35, 61)( 6, 22, 85, 69)( 7, 33, 51,112)( 9,110, 26,102) 5962 ( 11, 42, 89, 49)( 12, 75, 52, 84)( 13, 73,117, 87)( 14,103, 94, 56) 5963 ( 15,116, 16, 66)( 18, 67, 45, 50)( 19, 44, 91, 90)( 20, 93, 24, 83) 5964 ( 25,105, 82, 27)( 28, 78)( 29, 98, 30, 58)( 31, 72, 63,100) 5965 ( 32, 36, 43,118)( 34, 57, 71, 53)( 37, 81,109,107)( 38, 86,104, 99) 5966 ( 39, 59)( 46, 48, 74, 97)( 47,113)( 55, 62, 70, 68)( 60, 95, 77,106) 5967 ( 64, 88)( 76, 80,108,111)(101,114,115,120) ] ], 5968[ 8, 40320, 0, "2", [ [ 56, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1, "PSL(3, 4).2", 5969 [ "L", [ 3, 4 ], 1 ], 5970 [ ( 1, 23)( 2,120)( 3,111)( 4, 88)( 6, 13)( 7, 17)( 8,103)( 9, 99) 5971 ( 10, 40)( 11,114)( 12, 91)( 14, 63)( 15,105)( 16,117)( 18, 94) 5972 ( 19,104)( 20, 49)( 21,113)( 22, 39)( 24, 29)( 25, 54)( 26, 95) 5973 ( 27, 31)( 28, 52)( 30, 75)( 32, 46)( 33,119)( 34, 48)( 35,116) 5974 ( 36, 67)( 37,102)( 38, 60)( 41, 50)( 43,115)( 44, 97)( 45, 86) 5975 ( 47, 76)( 51,100)( 53, 98)( 56, 58)( 59, 90)( 61,109)( 62, 80) 5976 ( 64, 74)( 65, 66)( 69, 70)( 71,108)( 72, 89)( 77, 78)( 79,101) 5977 ( 81, 82)( 83, 92)( 84, 87)( 85,106)( 93,107), 5978 ( 1,110, 48, 22)( 2, 41, 83, 38)( 3, 8,114, 79)( 4, 75, 37, 6) 5979 ( 5, 82, 25, 42)( 7, 84,120, 69)( 9, 32, 78, 73)( 10, 54, 94, 23) 5980 ( 11,113,119, 12)( 13, 53, 74,105)( 14, 20,112, 19)( 15, 33, 80, 56) 5981 ( 16, 95, 96, 91)( 17,108,111, 24)( 18, 21, 89, 30)( 26, 98, 88, 60) 5982 ( 27, 81, 40, 34)( 28,100)( 29, 52, 45, 39)( 31,102, 65, 85) 5983 ( 35, 36,118, 49)( 43, 77, 58, 87)( 44, 61,107, 46)( 47, 68, 64, 67) 5984 ( 50, 62)( 51, 97, 63,109)( 55,117, 71,104)( 57, 70, 93, 90) 5985 ( 76, 92,106,103)( 86,101,116,115) ] ], 5986[ 9, 40320, 0, "2", [ [ 56, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1, "PSL(3, 4).2", 5987 [ "L", [ 3, 4 ], 1 ], 5988 [ ( 1,104)( 2,101)( 3, 5)( 4, 71)( 6, 87)( 7, 91)( 9,103)( 10,102) 5989 ( 11, 97)( 12,114)( 14, 64)( 15, 29)( 16,105)( 17, 44)( 18,109) 5990 ( 19,113)( 20, 48)( 21, 38)( 22, 40)( 23, 60)( 24, 54)( 25,117) 5991 ( 26, 94)( 27, 79)( 28,120)( 30, 68)( 31, 52)( 34, 81)( 35, 39) 5992 ( 37,116)( 41, 43)( 42, 51)( 47, 63)( 49, 78)( 50, 90)( 53, 69) 5993 ( 55, 89)( 56, 59)( 57,100)( 58,115)( 61, 80)( 62, 95)( 65, 76) 5994 ( 66, 74)( 67, 83)( 70, 93)( 72, 73)( 75,112)( 77, 82)( 85, 98) 5995 ( 86,119)( 88,108)(106,107)(111,118), 5996 ( 1, 44, 68, 96,109, 34)( 2, 17,118, 5, 16, 93)( 3, 98,101, 60,110, 5997 15)( 4,111, 67,117, 79, 13)( 6, 57,114, 24, 47,104) 5998 ( 7, 11,100, 29,102, 23)( 8,115, 48, 75, 86, 51)( 9, 97, 94, 37, 5999 78,116)( 12, 45,103, 73, 88, 20)( 14,119, 39, 76, 26, 32) 6000 ( 18, 92, 53, 33, 27,112)( 19, 89,106, 90, 54, 41)( 21, 66, 49, 62, 6001 82, 99)( 22, 83, 63,107, 64, 91)( 25, 95, 74, 81,108, 35) 6002 ( 28, 52, 85, 56,120,113)( 30, 31, 61, 59, 71, 69)( 36, 42, 55, 43, 6003 58, 46)( 38,105, 87)( 40, 70, 77)( 65, 84, 72) ] ], 6004[ 10, 80640, 0, "2", [ [ 56, 1 ], [ 42, 1 ], [ 21, 1 ] ], 1, "PSL(3, 4).2^2", 6005 [ "L", [ 3, 4 ], 1 ], 6006 [ ( 1, 2)( 3, 5)( 6, 9)( 7, 11)( 8, 13)( 10, 16)( 14, 20)( 15, 22) 6007 ( 18, 26)( 19, 28)( 21, 31)( 23, 27)( 24, 35)( 25, 37)( 29, 40) 6008 ( 30, 42)( 33, 45)( 34, 47)( 38, 52)( 39, 54)( 41, 56)( 43, 59) 6009 ( 48, 64)( 49, 66)( 51, 68)( 55, 72)( 57, 75)( 60, 79)( 61, 62) 6010 ( 63, 81)( 65, 82)( 67, 83)( 70, 85)( 73, 89)( 74, 78)( 76, 77) 6011 ( 80, 95)( 84, 99)( 87,103)( 91, 97)( 93, 98)( 94,109)( 96,110) 6012 (100,112)(101,104)(102,105)(111,118)(113,120)(116,117), 6013 ( 1, 3, 6, 10, 17, 25)( 2, 4, 7, 12, 18, 27)( 5, 8, 14, 21, 32, 6014 44)( 9, 15, 23, 34, 48, 65)( 13, 19, 29, 41, 57, 76) 6015 ( 16, 24, 36, 50, 59, 78)( 20, 30, 43, 60, 80, 96)( 22, 33, 46, 62, 6016 47, 63)( 26, 38, 53, 66, 64, 31)( 28, 39, 55, 73, 90, 99) 6017 ( 35, 49, 67, 75, 92,107)( 37, 51, 69, 72, 88,104)( 42, 58, 77, 93, 6018 108,118)( 45, 61, 68, 84,100,113)( 52, 70, 86,102,115,120) 6019 ( 54, 71, 87, 83, 79, 94)( 56, 74, 91,106,117,109)( 81, 97,103) 6020 ( 82, 98,111)( 85,101,114)( 89,105,116,110,112,119) ] ], 6021[ 11, 40320, 0, "2", [ [ 56, 1 ], [ 14, 1 ], [ 28, 1 ], [ 21, 1 ] ], 1, 6022 "Sym(8)", [ "A", 8, 1 ], 6023 [ ( 1, 2, 4, 7)( 3, 6, 10, 14, 21, 32, 48, 57)( 5, 9, 13, 19, 29, 6024 44, 66, 89)( 8, 12, 17, 26, 39, 58, 82, 85)( 11, 16, 24, 25, 38, 6025 56, 72, 95)( 15, 23, 35, 53, 27, 41, 61, 83)( 18, 28, 42, 63) 6026 ( 20, 31, 46, 68, 91,110,108,118)( 22, 34, 51, 73, 49, 71, 94, 30) 6027 ( 33, 50)( 36, 54, 77, 64, 86, 43, 65, 87)( 37, 55, 79,101) 6028 ( 40, 60, 78,100)( 45, 67, 90,106)( 47, 70, 93,111, 88,107,116, 98) 6029 ( 52, 75, 97, 76, 99,114,115,117)( 62, 84,104,112,120, 81,103,105) 6030 ( 69, 92, 80,102, 96,113,109,119), 6031 ( 1, 3)( 2, 5)( 4, 8)( 6, 11)( 7, 9)( 10, 15)( 12, 18)( 13, 20) 6032 ( 14, 22)( 16, 25)( 17, 27)( 19, 30)( 21, 33)( 23, 36)( 24, 37) 6033 ( 26, 40)( 28, 43)( 29, 45)( 31, 47)( 32, 49)( 34, 52)( 35, 48) 6034 ( 38, 57)( 39, 59)( 41, 62)( 42, 64)( 44, 60)( 46, 69)( 50, 72) 6035 ( 51, 74)( 53, 76)( 54, 78)( 55, 80)( 56, 81)( 58, 67)( 61, 82) 6036 ( 63, 85)( 65, 88)( 66, 71)( 68, 86)( 70, 77)( 73, 96)( 75, 98) 6037 ( 79, 94)( 83, 92)( 84,105)( 87,106)( 89,108)( 90,109)( 91, 99) 6038 ( 93,111)( 95,112)( 97,101)(100,115)(102,116)(103,113)(104,117) 6039 (107,110)(114,119)(118,120) ] ], 6040[ 12, 979200, 1, "2", [ [ 68, 1 ], [ 51, 1 ] ], 1, "PSp(4, 4)", 6041 [ "B", [ 2, 4 ], 1 ], 6042 [ ( 1,115, 59, 18, 29, 46,103, 94, 36, 19,119, 78, 57, 2,110, 64, 34) 6043 ( 3,101, 43, 32, 56,106, 91, 21, 14,116,100, 5, 84, 49, 79, 61, 24) 6044 ( 4, 12, 89, 55, 77, 33,105, 98,104, 85, 67, 20, 62, 40, 72, 13, 95) 6045 ( 6, 97, 44, 17, 39, 86, 82, 8, 76,113, 42,117, 25, 75, 9,109,102) 6046 ( 7, 28, 16, 81, 10, 69, 22,112,107,118, 88, 65, 48, 80, 35, 26, 66) 6047 ( 11, 50, 27, 52, 23, 51,111, 90, 41,108, 92, 15, 99, 71, 83, 63, 47) 6048 ( 30, 96, 70, 38, 58,114, 60, 37, 93, 73,120, 45, 53, 87, 74, 54, 31), 6049 ( 1, 84, 73, 29, 96)( 2, 67, 47, 15, 64,102, 98, 42, 44, 19)( 3, 93) 6050 ( 4, 51, 9, 72, 31)( 5, 83, 71, 57, 92)( 6, 46, 81, 23, 62, 34, 6051 111, 91, 59, 66)( 7, 41, 25, 24, 33, 48, 27, 36,118, 80) 6052 ( 8, 21, 32,108, 53, 63, 35, 54,103, 43)( 10,107, 87,104, 52,105, 20, 6053 74, 79, 90)( 12, 61,115, 99, 17, 95, 26, 50, 86,113)( 13, 89, 22, 56, 6054 68)( 14, 85)( 16,106, 39, 69,112, 88, 70, 76,116, 49) 6055 ( 18, 94, 82,114,100)( 28, 30, 58,110, 38, 37,120, 40,119, 65) 6056 ( 45,109,117, 55, 97)( 60, 77)( 75, 78) ] ], 6057[ 13, 1958400, 0, "2", [ [ 68, 1 ], [ 51, 1 ] ], 1, "PSp(4, 4).2", 6058 [ "B", [ 2, 4 ], 1 ], 6059 [ ( 1, 15, 8, 93, 3, 41, 9, 98)( 2, 33, 36,102, 42, 51, 96, 72) 6060 ( 4, 27, 48, 60, 85, 35, 57, 80)( 5, 92, 24, 67, 32,108, 7, 71) 6061 ( 6, 99, 26, 90, 39,106, 22,116)( 10, 95, 17,114, 61,111, 97, 74) 6062 ( 11, 12, 23, 69,112, 76,119, 66)( 13, 89, 79, 65, 20, 45, 34, 88) 6063 ( 14, 77, 44, 73, 53, 83, 21, 47)( 16, 86, 91, 59, 50, 62, 37, 56) 6064 ( 18,110, 68, 52,117,100, 40,120)( 25, 54)( 28, 46, 81, 55, 82, 78, 6065 109,105)( 29,103, 43, 64,118, 63, 84, 31)( 30, 38, 75,107, 70,115, 6066 104, 87)( 49, 58, 94,113), 6067 ( 1, 16, 99, 10, 90, 44)( 2, 58, 89, 21, 42, 29, 85, 50, 46, 25, 43, 6068 93)( 3, 38, 70, 12, 28, 27, 24, 49, 81, 22, 69, 19) 6069 ( 4, 65, 61, 41, 84, 71)( 5, 13,117,109,103,113, 64, 23,116, 62, 77, 6070 88)( 6, 86, 36, 98, 11, 52, 45, 66, 31, 57, 40, 30)( 7, 73, 17, 55, 6071 96, 72, 67, 53, 68,104, 32, 14)( 8,102, 47, 20,101, 94) 6072 ( 9,112, 15, 87,120, 18, 80, 97, 54,110, 82,106)( 26, 79, 34, 75) 6073 ( 33,119,111, 92, 59, 95, 63,114,105, 60,107, 76)( 35,100, 91, 37, 83, 6074 115)( 51, 56, 78)( 74,108,118) ] ], 6075[ 14, 1451520, 1, "2", [ [ 56, 1 ], [ 63, 1 ] ], 1, "PSp(6, 2)", 6076 [ "B", [ 3, 2 ], 1 ], 6077 [ ( 1, 2, 4, 7, 12, 20, 30, 46, 69, 90, 85, 99,114,108,116) 6078 ( 3, 6, 10, 17, 27, 41, 61, 81,103, 33, 51, 72, 94, 55, 25) 6079 ( 5, 9, 15, 24, 37, 56, 59, 47, 53, 74, 96, 95,111,117, 77) 6080 ( 8, 14, 22, 34, 52, 73, 38, 57, 71, 93, 31, 48, 45, 68, 89) 6081 ( 11, 19, 23, 36, 54, 75, 98,110,109, 13, 21, 32, 49, 35, 50) 6082 ( 16, 26, 39, 58, 76,100, 82, 65, 87,106, 67, 42, 63, 84, 80) 6083 ( 18, 29, 44, 66, 88, 70, 92, 62, 83,104,102, 28, 43, 64, 86) 6084 ( 40, 60, 79,101,115,118,119,120, 97,113,112, 91,105,107, 78), 6085 ( 1, 3)( 2, 5)( 4, 8)( 6, 11)( 7, 13)( 9, 16)( 10, 18)( 12, 19) 6086 ( 14, 23)( 15, 25)( 17, 28)( 20, 31)( 21, 33)( 22, 35)( 24, 38) 6087 ( 26, 40)( 27, 42)( 29, 45)( 30, 47)( 32, 50)( 34, 53)( 36, 55) 6088 ( 37, 52)( 39, 59)( 41, 62)( 43, 65)( 44, 67)( 46, 51)( 48, 70) 6089 ( 49, 71)( 54, 76)( 56, 72)( 57, 77)( 58, 78)( 60, 80)( 61, 82) 6090 ( 63, 85)( 64, 68)( 66, 81)( 69, 91)( 73, 95)( 74, 97)( 75, 99) 6091 ( 79,102)( 83,105)( 84, 98)( 86,103)( 87,106)( 88,107)( 89,104) 6092 ( 90,108)( 92,101)( 93,109)( 94,110)( 96,112)(100,114)(111,118) 6093 (113,119)(115,116)(117,120) ] ], 6094[ 15, 47377612800, 1, "2", [ [ 119, 1 ] ], 2, "PSp(8, 2)", 6095 [ "B", [ 4, 2 ], 1 ], 6096 [ ( 2, 3)( 4, 6)( 5, 8)( 7, 10)( 9, 11)( 15, 18)( 16, 20)( 17, 22) 6097 ( 21, 26)( 23, 29)( 25, 32)( 27, 35)( 28, 37)( 30, 40)( 31, 42) 6098 ( 34, 45)( 38, 50)( 39, 52)( 43, 57)( 48, 55)( 49, 62)( 51, 65) 6099 ( 56, 70)( 60, 75)( 61, 69)( 63, 79)( 64, 80)( 68, 85)( 73, 83) 6100 ( 74, 88)( 77, 86)( 78, 93)( 84, 95)( 89, 96)( 90, 97)(100,108) 6101 (102,106)(104,111)(107,110)(109,114)(112,116)(113,115)(117,119) 6102 (118,120), ( 1, 2, 4, 7)( 3, 5, 9, 12, 15, 19, 25, 33) 6103 ( 6, 10, 13, 16, 21, 27, 36, 48)( 8, 11, 14, 17, 23, 30, 41, 55) 6104 ( 18, 24, 31, 43, 58, 73, 90,101)( 20, 26, 34, 46, 60, 76, 32, 44) 6105 ( 22, 28, 38, 51, 66, 83, 97,105)( 29, 39, 53, 68)( 35, 47, 61, 77, 6106 92,102,108,114)( 37, 49, 63, 79, 93, 80, 94, 85)( 40, 54, 69, 86, 6107 99,107,113,118)( 42, 56, 71, 88, 70, 87, 75, 91)( 45, 59, 74, 57, 6108 72, 89,100,109)( 50, 64, 81, 95,103,110,115,119)( 52, 67, 84, 98, 6109 106,111,116,120)( 62, 78, 65, 82, 96,104,112,117) ] ], 6110[ 16, 174182400, 1, "2", [ [ 56, 1 ], [ 63, 1 ] ], 1, "O+(8, 2)", 6111 [ "D", [ 4, 2 ], 1 ], 6112 [ ( 1, 72, 82, 22, 85, 78, 69, 51,114,110, 49, 74)( 2, 35,116,108,113,112, 6113 5, 14, 48, 41, 89, 91)( 3, 94, 64, 83, 71,103,111, 73, 31, 15, 98, 6114 80)( 4, 11, 56, 70, 96, 50, 21, 60, 12, 30, 99, 39) 6115 ( 6, 53,105, 88, 32, 68, 66, 38, 16,102,118, 97)( 7,115, 45, 76, 61, 6116 34, 27, 33, 79,117,119, 25)( 8,106, 77, 65, 9, 62, 92, 26, 81, 40, 6117 36, 37)( 10, 24,107, 44, 93, 86, 90, 95, 58, 59, 13, 17) 6118 ( 18, 28, 67, 23, 29,109, 42,104, 20, 47, 19,100)( 43,120, 63, 87, 52, 6119 101, 46, 54, 57, 75, 84, 55), 6120 ( 1, 50, 56, 14, 64)( 2, 34, 22, 21, 52, 70,117, 25, 18, 38, 78, 84, 6121 90, 54, 9)( 3, 19, 45)( 4,101, 71, 81, 98)( 5,104,109,110, 77, 6122 46, 16, 31, 32, 39,116, 48, 12, 36,112)( 6,114, 83, 95,119, 80, 93, 6123 60, 63, 59, 41, 26, 23, 44, 11)( 7, 96,102, 87, 15, 24, 61, 37, 8, 6124 99, 47, 27, 51, 94, 57)( 10, 53,107)( 13,108,106, 88, 33) 6125 ( 17,115, 89)( 20, 58, 30,105, 97, 49,118, 67, 74, 55, 43, 76, 28, 85, 6126 69)( 29, 86, 75, 65, 62)( 35, 68,100, 42,120)( 40,103,113, 79, 82) 6127 ( 66,111, 92, 72, 73) ] ], 6128[ 17, 348364800, 0, "2", [ [ 56, 1 ], [ 63, 1 ] ], 1, "PSO+(8, 2)", 6129 [ "D", [ 4, 2 ], 1 ], 6130 [ ( 1, 53, 45, 63, 57, 3, 69, 19, 77, 91, 35, 24)( 2, 75, 10,110,113, 70, 6131 119,115, 48, 28, 55, 32)( 4, 84,102, 68, 49, 56, 18, 14, 26, 8, 71, 6132 29)( 5, 46, 73, 20, 82, 90, 40,108, 54, 66,103, 31)( 6,105,106,120, 6133 78, 85, 60, 7,117, 17, 51,107)( 9, 74,100, 12, 15, 36, 50,112, 43, 6134 61, 13, 93)( 11, 16, 94,111, 47, 72, 67, 39, 86, 34,104, 52) 6135 ( 21,109,118, 65, 23, 92, 33, 41, 25, 38, 22, 87)( 27, 44, 76, 42, 89, 6136 81, 83, 98, 96, 97,101, 88)( 30, 95,116, 99, 80, 59, 37, 62, 64, 79, 6137 58,114), ( 1,118,107, 63)( 2, 48, 19, 15, 91, 29, 88, 77) 6138 ( 3, 33, 13,112, 9, 61,100,117, 37, 99, 86, 35, 78, 51, 46, 42, 96, 6139 106, 7, 68, 84, 75, 21, 38)( 4, 10, 69, 92,114, 59, 80, 85, 14, 20, 6140 53, 79, 40, 17, 11, 56, 58, 55, 49, 44, 72, 6,115, 81) 6141 ( 5, 65, 12, 52, 36,120, 25,102, 31,108, 18, 70, 22, 90,104, 27, 54, 6142 87,116, 34, 16, 32,110, 45)( 8,109, 94, 57, 47, 62, 24, 39) 6143 ( 23, 30, 71,103, 28, 83,113,101)( 26,105, 76, 95)( 41,119, 82) 6144 ( 43, 97, 98)( 50, 73, 67,111, 64, 60)( 66, 93, 89, 74) ] ], 6145[ 18, 1814400, 1, "2", [ [ 35, 1 ], [ 63, 1 ], [ 21, 1 ] ], 1, "Alt(10)", 6146 [ "A", 10, 1 ], 6147 [ ( 1, 55,109, 78, 66, 61, 89, 84, 12)( 2, 13, 6, 58, 56, 68, 49,114, 59) 6148 ( 3, 35,118,105,115, 99,117, 15, 54)( 4, 93, 39, 90, 83, 28, 36, 73, 6149 102)( 5, 8, 10, 60, 18, 75, 20, 81, 97)( 7,113,107,116, 23, 21, 6150 82, 44, 80)( 9, 57, 27, 24, 47, 17, 64, 25,112)( 11, 77, 45,119, 6151 108, 76, 22,110, 72)( 14, 70, 96, 40, 43, 42, 52,111, 63) 6152 ( 16, 37, 46, 69,100, 87, 88, 32, 86)( 19, 38, 65,103,120,104, 85, 92, 6153 41)( 26, 91, 95, 74,101, 51, 94, 48, 30)( 29, 62,106) 6154 ( 31, 71, 53, 98, 79, 34, 33, 50, 67), 6155 ( 1, 41, 44, 14, 82, 91, 90, 10)( 2, 84, 20, 96, 73, 80, 16, 12) 6156 ( 3, 4, 94, 42,113,110,104, 71)( 5, 9, 79, 69, 98, 83, 47, 57) 6157 ( 6, 30, 29, 60, 33, 67, 24, 23)( 7,119, 70, 95, 92,120, 74,100) 6158 ( 8, 17, 40, 53, 89, 93, 72, 87)( 11, 58, 61, 97, 86, 68, 51, 56) 6159 ( 13, 46, 15, 76, 28,103, 49,112)( 18,107,109,114,111, 25, 78, 31) 6160 ( 19, 48, 43, 54, 34, 66, 27, 75)( 21, 88, 59, 64, 32,108, 38, 65) 6161 ( 22, 63, 37, 36, 55,117,106, 35)( 26, 99,116, 77)( 39,105, 62,118, 6162 81,101, 50,115)( 45, 52, 85,102) ] ], 6163[ 19, 3628800, 0, "2", [ [ 35, 1 ], [ 63, 1 ], [ 21, 1 ] ], 1, "Sym(10)", 6164 [ "A", 10, 1 ], 6165 [ ( 1, 2, 3, 4, 5, 7, 9, 13, 18, 24)( 6, 8, 11, 15, 21, 28, 38, 47, 6166 57, 30)( 10, 14, 19, 26, 34, 42, 53, 64, 75, 84)( 12, 17, 23, 31, 32, 6167 40, 50, 61, 37, 46)( 16, 22, 29, 39, 49, 59, 70, 60, 71, 80) 6168 ( 20, 27, 36, 44, 55, 66, 77, 48, 58, 68)( 25, 33, 41, 52, 63, 74, 83, 6169 92, 98,102)( 35, 43, 54, 65, 76, 69, 79, 86, 89, 94)( 45, 56, 67, 78, 6170 85, 51, 62, 72, 81, 88)( 73, 82, 90, 95, 99,103,106,109,112,115) 6171 ( 87, 93, 96,100,104,107,110,113,116,118)( 91, 97,101,105,108,111,114, 6172 117,119,120), ( 4, 6)( 7, 10)( 8, 12)( 11, 16)( 14, 20)( 18, 25) 6173 ( 22, 30)( 24, 32)( 26, 35)( 27, 37)( 28, 34)( 36, 45)( 38, 48) 6174 ( 39, 44)( 40, 51)( 49, 60)( 58, 69)( 62, 73)( 71, 75)( 74, 84) 6175 ( 79, 87)( 81, 89)( 82, 91)( 86, 92)( 90, 96)( 94, 99)(100,105) 6176 (102,104) ] ], 6177[ 20, 10461394944000, 1, "2", [ [ 91, 1 ], [ 28, 1 ] ], 1, "Alt(16)", 6178 [ "A", 16, 1 ], 6179 [ ( 1, 86, 15, 76,118, 45,105, 72,111, 4,103, 10, 32, 75,106,116, 63,119, 6180 36, 17, 87, 89, 66, 97,113, 33, 34, 92, 42,104, 80, 57, 61, 41, 52, 6181 12, 83, 35,115, 46,109, 37, 6, 68, 8, 74, 13, 28, 44, 73, 51, 3, 6182 85, 14, 64, 69, 20, 59, 90, 67, 19, 21, 96)( 2, 50, 24, 94, 78, 56, 6183 43)( 5, 81, 23, 25, 39,120, 31,107, 38)( 7, 98,114, 70, 71,102, 79, 6184 9, 27)( 11, 26,117,101, 29, 40, 62, 65, 53)( 16, 49, 18, 54, 93, 84, 6185 88, 55, 47)( 22, 60,100, 91,108, 99,110)( 30, 77,112, 82, 95, 48, 58 6186 ), ( 1, 43)( 2, 58, 36, 59, 73, 69, 16, 68)( 3, 67, 19, 31,107, 6187 53, 5, 38)( 4, 50, 30, 44, 65, 86, 12, 52)( 6, 37, 9, 51) 6188 ( 7, 21, 15, 94, 10, 32,120, 17)( 8, 85, 24, 76,118, 39,117, 27) 6189 ( 11, 45)( 13, 62,102, 35,119, 33, 80, 57)( 14, 26, 90,103) 6190 ( 18, 34, 40, 48,115, 22, 54,109)( 20, 60, 25, 77)( 23, 47, 63, 99, 6191 110, 46, 93,114)( 29, 79, 55, 97,113, 61, 71, 84)( 41, 70) 6192 ( 42, 96, 81,108, 82, 78, 98, 66)( 49,111, 72,112, 74, 95, 89, 75) 6193 ( 56, 87, 64,104)( 83, 91,100, 92)(101,116,106,105) ] ], 6194[ 21, 20922789888000, 0, "2", [ [ 91, 1 ], [ 28, 1 ] ], 1, "Sym(16)", 6195 [ "A", 16, 1 ], 6196 [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65) 6197 ( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 73) 6198 ( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 83, 82, 90) 6199 ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 84, 92, 91, 99,107) 6200 ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 85, 93,101,100,108,113,117) 6201 ( 36, 42, 48, 55, 62, 70, 78, 86, 94,102, 98,106,112,116,119,120) 6202 ( 49, 56, 63, 71, 79, 87, 95,103,109, 81, 89, 97,105,111,115,118) 6203 ( 64, 72, 80, 88, 96,104,110,114), 6204 ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 65, 73) 6205 ( 72, 81)( 74, 82)( 83, 91)( 89, 98)( 92,100)(101,106) ] ], 6206[22, Factorial(120)/2,1,"2",[[119,1]],118, "Alt(120)", ["A",120, 1], "Alt"], 6207[23, Factorial(120),0,"2",[[119, 1]],120, "Sym(120)", ["A",120, 1], "Sym"]]; 6208PRIMGRP[121]:= 6209[[ 1, 363, 2, "1", [ [ 3, 40 ] ], 1, "11^2:3", [ "Z", 11, 2 ], 6210 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^5 ] ] ] ], 6211[ 2, 484, 2, "1", [ [ 4, 30 ] ], 1, "11^2:4", [ "Z", 11, 2 ], 6212 [ [ [ Z(11)^5, 0*Z(11) ], [ 0*Z(11), Z(11)^5 ] ], 6213 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ] ] ], 6214[ 3, 726, 2, "1", [ [ 6, 20 ] ], 1, "11^2:6", [ "Z", 11, 2 ], 6215 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^0 ] ] ] ], 6216[ 4, 726, 2, "1", [ [ 3, 10 ], [ 6, 15 ] ], 1, "11^2:D_6", [ "Z", 11, 2 ], 6217 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^5 ] ], 6218 [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^5, Z(11)^5 ] ] ] ], 6219[ 5, 968, 2, "1", [ [ 4, 10 ], [ 8, 10 ] ], 1, "11^2:D_8", [ "Z", 11, 2 ], 6220 [ [ [ Z(11)^0, 0*Z(11) ], [ 0*Z(11), Z(11)^5 ] ], 6221 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ] ] ], 6222[ 6, 968, 2, "1", [ [ 8, 15 ] ], 1, "11^2:8", [ "Z", 11, 2 ], 6223 [ [ [ Z(11)^5, 0*Z(11) ], [ 0*Z(11), Z(11)^5 ] ], 6224 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^3 ] ] ] ], 6225[ 7, 968, 2, "1", [ [ 8, 15 ] ], 1, "11^2:Q_8", [ "Z", 11, 2 ], 6226 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6227 [ [ Z(11)^7, Z(11)^7 ], [ Z(11)^7, Z(11)^2 ] ] ] ], 6228[ 8, 1210, 2, "1", [ [ 5, 10 ], [ 10, 7 ] ], 1, "11^2:D_10", [ "Z", 11, 2 ], 6229 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^8 ] ], 6230 [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^8, Z(11)^5 ] ] ] ], 6231[ 9, 1452, 2, "1", [ [ 12, 10 ] ], 1, "11^2:12", [ "Z", 11, 2 ], 6232 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^9 ] ], 6233 [ [ Z(11)^9, Z(11)^6 ], [ Z(11), Z(11)^4 ] ] ] ], 6234[ 10, 1452, 2, "1", [ [ 12, 10 ] ], 1, "11^2:Q_12", [ "Z", 11, 2 ], 6235 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^5 ] ], 6236 [ [ Z(11)^5, Z(11)^9 ], [ Z(11)^7, Z(11)^0 ] ] ] ], 6237[ 11, 1452, 2, "1", [ [ 6, 10 ], [ 12, 5 ] ], 1, "11^2:D_12", [ "Z", 11, 2 ], 6238 [ [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^0, Z(11)^5 ] ], 6239 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^0 ] ] ] ], 6240[ 12, 1815, 2, "1", [ [ 15, 8 ] ], 1, "11^2:15", [ "Z", 11, 2 ], 6241 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, Z(11)^9 ] ] ] ], 6242[ 13, 1936, 2, "1", [ [ 16, 5 ], [ 8, 5 ] ], 1, "11^2:SD_16", [ "Z", 11, 2 ], 6243 [ [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^8, Z(11)^5 ] ], 6244 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^8 ] ] ] ], 6245[ 14, 2420, 2, "1", [ [ 20, 1 ], [ 10, 10 ] ], 1, "11^2:(2 x D_10)", 6246 [ "Z", 11, 2 ], 6247 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^2 ] ], [ [ Z(11)^0, 0*Z(11) ], 6248 [ Z(11)^2, Z(11)^5 ] ] ] ], 6249[ 15, 2420, 2, "1", [ [ 20, 6 ] ], 1, "11^2:(5:4)", [ "Z", 11, 2 ], 6250 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6251 [ [ Z(11)^5, Z(11) ], [ Z(11)^5, Z(11)^0 ] ] ] ], 6252[ 16, 2420, 2, "1", [ [ 20, 6 ] ], 1, "11^2:20", [ "Z", 11, 2 ], 6253 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^7, 0*Z(11) ] ], 6254 [ [ 0*Z(11), Z(11)^3 ], [ Z(11)^0, 0*Z(11) ] ] ] ], 6255[ 17, 2904, 2, "1", [ [ 12, 10 ] ], 1, "11^2:D_24", [ "Z", 11, 2 ], 6256 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^9 ] ], 6257 [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^9, Z(11)^5 ] ] ] ], 6258[ 18, 2904, 2, "1", [ [ 24, 5 ] ], 1, "11^2:24", [ "Z", 11, 2 ], 6259 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^4 ] ], 6260 [ [ Z(11)^5, 0*Z(11) ], [ 0*Z(11), Z(11)^5 ] ] ] ], 6261[ 19, 2904, 2, "1", [ [ 24, 5 ] ], 1, "11^2:Q_24", [ "Z", 11, 2 ], 6262 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6263 [ [ Z(11), Z(11)^7 ], [ Z(11)^7, Z(11)^8 ] ] ] ], 6264[ 20, 2904, 2, "1", [ [ 24, 5 ] ], 1, "11^2:(Q_8:3)", [ "Z", 11, 2 ], 6265 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^5 ] ], 6266 [ [ Z(11)^6, Z(11)^0 ], [ Z(11)^2, Z(11)^8 ] ] ] ], 6267[ 21, 3630, 2, "1", [ [ 30, 4 ] ], 1, "11^2:30", [ "Z", 11, 2 ], 6268 [ [ [ Z(11)^8, 0*Z(11) ], [ 0*Z(11), Z(11)^8 ] ], 6269 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^7, Z(11)^6 ] ] ] ], 6270[ 22, 3630, 2, "1", [ [ 15, 2 ], [ 30, 3 ] ], 1, "11^2:(5 x D_6)", 6271 [ "Z", 11, 2 ], 6272 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11), Z(11)^3 ] ], [ [ Z(11)^9, Z(11) ], 6273 [ 0*Z(11), Z(11)^4 ] ] ] ], 6274[ 23, 4840, 2, "1", [ [ 40, 2 ], [ 20, 2 ] ], 1, "11^2:(5 x D_8)", 6275 [ "Z", 11, 2 ], 6276 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^4, 0*Z(11) ] ], [ [ 0*Z(11), Z(11)^6 ], 6277 [ Z(11)^5, 0*Z(11) ] ] ] ], 6278[ 24, 4840, 2, "1", [ [ 20, 6 ] ], 1, "11^2:(5:D_8)", [ "Z", 11, 2 ], 6279 [ [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^0, Z(11)^5 ] ], 6280 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ] ] ], 6281[ 25, 4840, 2, "1", [ [ 40, 3 ] ], 1, "11^2:(5 x Q_8)", [ "Z", 11, 2 ], 6282 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6283 [ [ Z(11)^0, Z(11)^5 ], [ Z(11)^5, Z(11)^5 ] ] ] ], 6284[ 26, 4840, 2, "1", [ [ 40, 3 ] ], 1, "11^2:40", [ "Z", 11, 2 ], 6285 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^8 ] ], 6286 [ [ 0*Z(11), Z(11)^2 ], [ Z(11)^2, Z(11)^0 ] ] ] ], 6287[ 27, 5808, 2, "1", [ [ 24, 5 ] ], 1, "11^2:SD_48", [ "Z", 11, 2 ], 6288 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6289 [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^4, Z(11)^5 ] ] ] ], 6290[ 28, 5808, 2, "1", [ [ 24, 5 ] ], 1, "11^2:(Q_8:D_6)", [ "Z", 11, 2 ], 6291 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^0 ] ], 6292 [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^3 ] ] ] ], 6293[ 29, 6050, 2, "1", [ [ 25, 2 ], [ 50, 1 ], [ 10, 2 ] ], 1, 6294 "11^2:(5 x D_10)", [ "Z", 11, 2 ], 6295 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^4, 0*Z(11) ] ], 6296 [ [ Z(11)^6, 0*Z(11) ], [ Z(11)^5, Z(11) ] ] ] ], 6297[ 30, 7260, 2, "1", [ [ 60, 1 ], [ 30, 2 ] ], 1, "11^2:(5 x D_12)", 6298 [ "Z", 11, 2 ], 6299 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, Z(11)^4 ] ], [ [ Z(11)^8, Z(11)^9 ], 6300 [ 0*Z(11), Z(11)^3 ] ] ] ], 6301[ 31, 7260, 2, "1", [ [ 60, 2 ] ], 1, "11^2:(5 x Q_12)", [ "Z", 11, 2 ], 6302 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, Z(11)^4 ] ], 6303 [ [ Z(11)^7, Z(11) ], [ Z(11)^3, Z(11)^2 ] ] ] ], 6304[ 32, 7260, 2, "1", [ [ 60, 2 ] ], 1, "11^2:60", [ "Z", 11, 2 ], 6305 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6306 [ [ Z(11)^5, Z(11)^4 ], [ Z(11)^9, Z(11)^5 ] ] ] ], 6307[ 33, 9680, 2, "1", [ [ 80, 1 ], [ 40, 1 ] ], 1, "11^2:(5 x SD_16)", 6308 [ "Z", 11, 2 ], 6309 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, 0*Z(11) ] ], [ [ Z(11)^2, 0*Z(11) ], 6310 [ Z(11)^4, Z(11)^7 ] ] ] ], 6311[ 34, 12100, 2, "1", [ [ 50, 2 ], [ 20, 1 ] ], 1, "11^2:(10 x D_10)", 6312 [ "Z", 11, 2 ], 6313 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^4, 0*Z(11) ] ], [ [ Z(11)^2, Z(11)^7 ], 6314 [ Z(11)^6, Z(11)^9 ] ] ] ], 6315[ 35, 12100, 2, "1", [ [ 100, 1 ], [ 20, 1 ] ], 1, "11^2:(5 x (5:4))", 6316 [ "Z", 11, 2 ], 6317 [ [ [ Z(11)^0, 0*Z(11) ], [ 0*Z(11), Z(11)^2 ] ], [ [ 0*Z(11), Z(11)^0 ], 6318 [ Z(11)^5, 0*Z(11) ] ] ] ], 6319[ 36, 14520, 2, "1", [ [ 60, 2 ] ], 1, "11^2:(5 x D_24)", 6320 [ "Z", 11, 2 ], 6321 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^7, Z(11)^0 ] ], [ [ Z(11)^3, 0*Z(11) ], 6322 [ Z(11)^3, Z(11)^8 ] ] ] ], 6323[ 37, 14520, 2, "1", [ [ 120, 1 ] ], 2, "11^2:120", [ "Z", 11, 2 ], 6324 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^2, Z(11)^9 ] ], 6325 [ [ Z(11)^0, Z(11) ], [ Z(11)^3, Z(11) ] ] ] ], 6326[ 38, 14520, 2, "1", [ [ 120, 1 ] ], 2, "11^2:(5 x Q_12)", 6327 [ "Z", 11, 2 ], 6328 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^9, 0*Z(11) ] ], [ [ Z(11)^2, Z(11)^6 ], 6329 [ Z(11)^7, Z(11)^7 ] ] ] ], 6330[ 39, 14520, 2, "1", [ [ 120, 1 ] ], 2, "11^2:(5 x (Q_8 :C_3))", 6331 [ "Z", 11, 2 ], 6332 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, Z(11)^9 ] ], [ [ Z(11)^8, Z(11)^8 ], 6333 [ Z(11)^8, Z(11)^0 ] ] ] ], 6334[ 40, 24200, 2, "1", [ [ 100, 1 ], [ 20, 1 ] ], 1, "11^2:(10 x D_20)", 6335 [ "Z", 11, 2 ], 6336 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^4, 0*Z(11) ] ], [ [ Z(11)^7, Z(11)^9 ], 6337 [ Z(11)^8, Z(11) ] ] ] ], 6338[ 41, 29040, 2, "1", [ [ 120, 1 ] ], 2, "11^2:(10 x D_24)", 6339 [ "Z", 11, 2 ], 6340 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11), 0*Z(11) ] ], [ [ Z(11)^6, Z(11)^3 ], 6341 [ Z(11)^9, Z(11)^3 ] ] ] ], 6342[ 42, 29040, 2, "1", [ [ 120, 1 ] ], 2, "11^2:(5 x (Q_8:D_6))", 6343 [ "Z", 11, 2 ], 6344 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^3, Z(11)^4 ] ], [ [ Z(11)^5, Z(11)^3 ], 6345 [ Z(11), 0*Z(11) ] ] ] ], 6346[ 43, 159720, 0, "1", [ [ 120, 1 ] ], 2, "ASL(2, 11)", [ "Z", 11, 2 ], 6347 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, Z(11)^3 ] ], 6348 [ [ Z(11)^6, Z(11)^2 ], [ Z(11)^7, Z(11) ] ] ] ], 6349[ 44, 319440, 0, "1", [ [ 120, 1 ] ], 2, "11^2:(SL(2, 11):2)", 6350 [ "Z", 11, 2 ], 6351 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^8 ] ], [ [ Z(11)^6, Z(11)^3 ], 6352 [ Z(11)^7, Z(11)^5 ] ] ] ], 6353[ 45, 798600, 0, "1", [ [ 120, 1 ] ], 2, "11^2:(5 x SL(2, 11))", 6354 [ "Z", 11, 2 ], 6355 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11), 0*Z(11) ] ], [ [ Z(11)^7, 0*Z(11) ], 6356 [ Z(11)^9, Z(11) ] ] ] ], 6357[ 46, 1597200, 0, "1", [ [ 120, 1 ] ], 2, "AGL(2, 11)", [ "Z", 11, 2 ], 6358 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^0, Z(11)^3 ] ], 6359 [ [ Z(11)^2, Z(11)^7 ], [ Z(11)^3, Z(11)^6 ] ] ] ], 6360[ 47, 871200, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, 6361 "PSL(2, 11) wreath Sym(2)", [ "L", [ 2, 11 ], 2 ], 6362 [ ( 1, 48, 41, 61,109, 80, 73, 22,112, 31)( 2, 26, 34, 50,107, 58, 76, 88, 6363 117, 20)( 3, 70, 44,116,108)( 4, 37, 39,105,102, 69, 77,121,119, 9 6364 )( 5, 92, 38, 94,104, 91, 71, 99,115, 97)( 6,103, 36, 72,110,113, 6365 75, 11,114, 42)( 7, 15, 35, 28,100, 47, 74, 66,120, 86) 6366 ( 8, 59, 43, 83,106, 14, 68, 33,111, 53)( 10, 81, 40, 17,101, 25, 67, 6367 55,118, 64)( 12, 46, 30, 56, 54, 85, 62, 21, 79, 29)( 13, 24, 23, 45, 6368 52, 63, 65, 87, 84, 18)( 16, 90, 27, 89, 49, 96, 60, 98, 82, 95) 6369 ( 19, 57, 32, 78, 51), ( 1,100)( 2,106, 10,101, 7,109) 6370 ( 3,108, 4,102, 9,103)( 5,110, 6,104, 11,105)( 8,107) 6371 ( 12,111, 78, 23, 67, 45)( 13,117, 87, 24, 73, 54)( 14,119, 81, 25, 6372 75, 48)( 15,113, 86, 26, 69, 53)( 16,121, 83, 27, 77, 50) 6373 ( 17,115, 88, 28, 71, 55)( 18,120, 79, 29, 76, 46)( 19,118, 85, 30, 6374 74, 52)( 20,114, 80, 31, 70, 47)( 21,112, 84, 32, 68, 51) 6375 ( 22,116, 82, 33, 72, 49)( 34, 89, 56)( 35, 95, 65)( 36, 97, 59) 6376 ( 37, 91, 64)( 38, 99, 61)( 39, 93, 66)( 40, 98, 57)( 41, 96, 63) 6377 ( 42, 92, 58)( 43, 90, 62)( 44, 94, 60) ] ], 6378[ 48, 125452800, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, "M_11 wreath Sym(2)", 6379 [ "Spor", "M(11)", 2 ], 6380 [ ( 1, 42, 27, 3, 97, 26, 47, 89, 37, 49)( 2, 64, 28, 69, 99,103, 51, 78, 6381 43, 16)( 4, 53, 23, 36, 93)( 5, 9, 31, 25, 91, 92, 48, 45, 34, 38) 6382 ( 6, 75, 33,102, 95, 81, 54, 12, 35, 60)( 7, 86, 32, 14, 90, 59, 50, 6383 67, 44,104)( 8,119, 30,113, 96,114, 52,111, 41,115)( 10, 20, 24, 58, 6384 94, 70, 55,100, 40, 82)( 11,108, 29, 80, 98, 15, 46, 56, 39, 71) 6385 ( 13, 57, 61, 72, 77,110,106, 84, 87, 21)( 17, 68, 66,105, 73, 88,109, 6386 18, 79, 65)( 19,112, 63,116, 74,121,107,117, 85,120)( 22,101, 62, 83, 6387 76), ( 1, 51, 5, 46, 6, 45, 7, 49, 2, 50)( 3, 53, 11, 54, 4, 6388 47, 9, 55, 10, 48)( 8, 52)( 12, 40, 16, 35, 17, 34, 18, 38, 13, 39 6389 )( 14, 42, 22, 43, 15, 36, 20, 44, 21, 37)( 19, 41)( 23,106, 27,101, 6390 28,100, 29,104, 24,105)( 25,108, 33,109, 26,102, 31,110, 32,103) 6391 ( 30,107)( 56, 62, 60, 57, 61)( 58, 64, 66, 65, 59)( 67,117, 71,112, 6392 72,111, 73,115, 68,116)( 69,119, 77,120, 70,113, 75,121, 76,114) 6393 ( 74,118)( 78, 84, 82, 79, 83)( 80, 86, 88, 87, 81)( 89, 95, 93, 90, 6394 94)( 91, 97, 99, 98, 92) ] ], 6395[ 49, 237783237120, 1, "2", [ [ 120, 1 ] ], 2, "PSL(5, 3)", 6396 [ "L", [ 5, 3 ], 1 ], 6397 [ ( 1, 70, 6)( 10, 69,101)( 11, 18, 47)( 14,120, 85)( 15, 36,109) 6398 ( 16, 29, 50)( 21,100, 60)( 22, 39, 28)( 23, 96,110)( 25, 44, 83) 6399 ( 26, 57, 82)( 27, 92, 68)( 31,107,116)( 33, 99, 58)( 34, 56, 64) 6400 ( 35,105, 45)( 37, 40, 52)( 42, 84, 65)( 43, 98, 67)( 46, 74,121) 6401 ( 54, 59, 55)( 61,115, 93)( 62, 80,113)( 66,118,119)( 75,102, 89) 6402 ( 78, 87, 94)( 86,106,112), ( 1, 5, 4, 3, 2)( 6, 69, 9, 8, 7) 6403 ( 10,100, 20, 19, 18)( 11, 46,120, 13, 12)( 14, 84, 41, 40, 36) 6404 ( 15,108,107, 30, 29)( 16, 49, 48, 47, 17)( 21, 59, 53, 52, 39) 6405 ( 22, 27, 67, 97, 96)( 23,109, 35, 44, 24)( 25, 82, 56, 33, 57) 6406 ( 26, 81, 80, 61, 92)( 28, 38, 37, 51, 50)( 31,115, 60, 99, 32) 6407 ( 34, 63, 62,112,105)( 42, 64, 55, 58, 98)( 43, 66,118, 65, 83) 6408 ( 45,104,103,102, 74)( 68, 91, 90, 89,101)( 70,121, 73, 72, 71) 6409 ( 75, 88, 87, 77, 76)( 78, 93,114,113, 79)( 85,119,117,116,106) 6410 ( 86,111,110, 95, 94) ] ], 6411[ 50, 796675461120000, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, 6412 "Alt(11) wreath Sym(2)", [ "A", 11, 2 ], 6413 [ ( 1, 12, 17, 61, 59, 4)( 2,100, 16, 72, 65, 37, 7, 23, 14, 83, 66, 92, 6414 8, 45, 13,105, 60, 70, 10, 34, 18, 28, 58, 81, 11, 89, 19, 50, 57, 6415 103, 5, 67, 21, 39, 62, 26, 3, 78, 22, 94, 63, 48)( 6, 56, 15) 6416 ( 9,111, 20,116, 64,114)( 24,102, 82, 77, 98, 41, 51) 6417 ( 25, 80, 88, 99, 96, 52, 46,101,104, 71, 76, 43, 40, 29) 6418 ( 27, 69, 87, 44, 95, 30, 47, 79,110, 93, 74, 54, 35,106) 6419 ( 31,113, 86,121, 97,118, 53,112,108,115, 75,120, 42,117) 6420 ( 32, 36, 84, 33, 91, 85, 55, 90,107, 49, 68,109, 38, 73), 6421 ( 1, 12,100, 56, 34, 67, 45)( 2, 18,102, 64, 41, 76, 50, 11, 15,101, 6422 62, 36, 75, 52, 10, 17,110, 59, 35, 73, 47, 9, 19,109, 61, 44, 70, 6423 46, 7, 14,108, 63, 43, 72, 55, 4, 13,106, 58, 42, 74, 54, 6, 22, 6424 103, 57, 40, 69, 53, 8, 21,105, 66, 37, 68, 51, 3, 20,107, 65, 39, 6425 77, 48)( 5, 16,104, 60, 38, 71, 49)( 24, 29, 25, 31, 30, 32, 28, 6426 33, 26)( 78,111, 89)( 79,117, 91, 86,118, 98, 83,121, 92) 6427 ( 80,119, 96, 87,116, 99, 81,112, 95)( 82,115, 93)( 84,113, 97, 85, 6428 120, 94, 88,114, 90) ] ], 6429[ 51, 1593350922240000, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, 6430 "Alt(11)^2.2^2", [ "A", 11, 2 ], 6431 [ ( 1, 19, 54, 67, 17, 65, 77, 94, 57, 88, 97,112, 81, 42,115,103, 40, 27, 6432 102, 7, 30, 47)( 2, 85, 53,111, 15, 43, 71,105, 62, 33, 91) 6433 ( 3, 8, 52, 45, 12, 21, 76, 72, 61, 66, 99, 90, 79, 86,119,114, 37, 6434 38,104,106, 29, 25)( 4, 41, 49,100, 18, 32, 69, 6, 63, 55, 89, 13, 6435 87, 75,116, 59, 44, 93,101, 84, 31,113)( 5,107, 51, 23, 14, 10, 74, 6436 50, 56, 22, 98, 68, 83, 64,121, 92, 35, 82,108,117, 26, 36) 6437 ( 9,118, 48, 34, 16,109, 73, 28, 58, 11, 96, 46, 78, 20,120, 70, 39, 6438 60,110, 95, 24, 80), 6439 ( 2, 56)( 3, 12, 4, 45, 8,100, 5, 34, 6, 23)( 7, 78, 10, 89, 9, 6440 67)( 11,111)( 13, 59, 46, 63,101, 60, 35, 61, 24, 58) 6441 ( 14, 15, 48, 52,107,104, 38, 39, 28, 25)( 16, 37, 50, 30,102) 6442 ( 17, 26, 47, 19,103, 49, 41,105, 27, 36)( 18, 81, 54, 96,108, 71, 40, 6443 83, 32, 91, 20, 70, 51, 85,109, 93, 42, 72, 29, 80, 21, 92, 53, 74, 6444 106, 82, 43, 94, 31, 69)( 22,114, 55,118,110,115, 44,116, 33,113) 6445 ( 62, 79, 65, 90, 64, 68)( 66,112)( 73, 84, 87, 98, 97, 75) 6446 ( 76, 95, 86)( 77,117, 88,120, 99,119) ] ], 6447[ 52, 1593350922240000, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, "Alt(11)^2.4", 6448 [ "A", 11, 2 ], 6449 [ ( 1, 77, 30, 21, 97, 3, 44, 24, 65, 92, 47, 34, 68, 63, 15, 53) 6450 ( 2, 66, 26, 54, 89, 69, 41, 13, 64, 4, 55, 23, 76, 96, 14, 42) 6451 ( 5, 88, 27, 87, 93, 80, 38, 79, 60, 81, 49, 78, 71, 85, 16, 86) 6452 ( 6,110, 28,109, 94,102, 39,101, 61,103, 50,100, 72,107, 17,108) 6453 ( 7,121, 29,120, 95,113, 40,112, 62,114, 51,111, 73,118, 18,119) 6454 ( 8, 22, 31, 10, 99, 25, 43, 90, 58, 37, 46, 56, 70, 52, 12, 75) 6455 ( 9, 11, 33, 32, 98, 91, 36, 35, 57, 59, 48, 45, 67, 74, 19, 20) 6456 ( 83,104)( 84,115)(106,116), 6457 ( 1, 40, 11, 36, 4, 38, 8, 35, 6, 43, 9, 34, 7, 44, 3, 37, 5, 6458 41, 2, 39, 10, 42)( 12, 95, 33,102, 59, 49, 19, 90, 28,109, 64, 45, 6459 18, 99, 25,103, 60, 52, 13, 94, 32,108, 56, 51, 22, 91, 26,104, 63, 6460 46, 17, 98, 31,100, 62, 55, 14, 92, 27,107, 57, 50, 21, 97, 23,106, 6461 66, 47, 15, 93, 30,101, 61, 54, 20, 89, 29,110, 58, 48, 16, 96, 24, 6462 105, 65, 53)( 67, 84,121, 69, 81,115, 74, 79,116, 76, 86,111, 73, 88, 6463 113, 70, 82,118, 68, 83,120, 75, 78,117, 77, 80,114, 71, 85,112, 72, 6464 87,119) ] ], 6465[ 53, 3186701844480000, 0, "4c", [ [ 100, 1 ], [ 20, 1 ] ], 1, 6466 "Sym(11) wreath Sym(2)", [ "A", 11, 2 ], 6467 [ ( 1, 33, 48, 71, 6, 66, 54, 38, 3, 88, 52,104)( 2, 22, 51, 93) 6468 ( 4, 77, 50, 60, 10, 44, 47, 82, 8,110, 45, 27)( 5, 11, 55, 49) 6469 ( 7, 99, 46, 16)( 9,121, 53,115)( 12, 29, 92, 68, 17, 62, 98, 35, 6470 14, 84, 96,101)( 13, 18, 95, 90)( 15, 73, 94, 57, 21, 40, 91, 79, 6471 19,106, 89, 24)( 20,117, 97,112)( 23, 26, 70, 72, 61, 65, 43, 36, 6472 80, 85,107,100)( 25, 81, 74,105, 56, 32, 37, 69, 83, 63,109, 34) 6473 ( 28, 59, 76, 39, 58, 87, 41,102, 78, 30,103, 67)( 31,114, 75,116, 64, 6474 120, 42,113, 86,118,108,111), 6475 ( 1, 77, 19, 87,113, 45, 68,107, 81, 58, 50, 24,108, 4, 66, 17, 32,119 6476 )( 2,110, 15, 65,116, 23, 75, 8, 88, 14, 54,112,100, 70, 63, 83, 6477 25, 53)( 3, 55, 13,109,114, 56, 72, 30, 86)( 5, 99, 16, 98,115, 6478 89, 71, 96, 82, 91, 49, 90,104, 92, 60, 94, 27, 97)( 6, 33, 20, 10, 6479 121, 12, 76,118, 78, 69, 52, 79,102, 48, 57,105, 26, 64) 6480 ( 7, 44, 18, 43,117, 34, 73, 41, 84, 36, 51, 35,106, 37, 62, 39, 29, 6481 42)( 9, 11, 22, 21,120,111, 67, 74, 85, 80, 47, 46,101,103, 59, 61, 6482 28, 31)( 38, 95) ] ], 6483[54, Factorial(121)/2,1,"2",[[120,1]],119, "Alt(121)", ["A",121, 1], "Alt"], 6484[55, Factorial(121),0,"2",[[120, 1]],121, "Sym(121)", ["A",121, 1], "Sym"], 6485[ 56, 14520, 0, "1", [ [ 120, 1 ] ], 2, "11^2:(2.Alt(5))", [ "Z", 11, 2 ], 6486 [ [ [ 0*Z(11), Z(11)^0 ], [ Z(11)^5, 0*Z(11) ] ], 6487 [ [ 0*Z(11), Z(11) ], [ Z(11)^4, Z(11)^2 ] ] ] ], 6488[ 57, 72600, 0, "1", [ [ 120, 1 ] ], 2, "11^2:(5 x 2.Alt(5))", 6489 [ "Z", 11, 2 ], 6490 [ [ [ Z(11)^0, 0*Z(11) ], [ Z(11)^3, Z(11)^8 ] ], [ [ 0*Z(11), Z(11)^0 ], 6491 [ Z(11)^9, 0*Z(11) ] ] ] ]]; 6492PRIMGRP[122]:= 6493[[ 1, 885720, 1, "2", [ [ 121, 1 ] ], 2, "PSL(2, 11^2)", 6494 [ "L", [ 2, 121 ], 1 ], 6495 [ ( 1,122, 63, 28, 10, 86, 18, 23, 99, 39, 46, 89,113,111, 68) 6496 ( 2,106, 56, 27, 76, 61, 8, 24, 35, 54,110, 15,103, 34, 79) 6497 ( 3, 62,116,117, 43, 83, 74, 41, 70,105, 20, 40, 82, 51, 60) 6498 ( 4, 9, 22, 47,115, 84, 66, 33, 45, 14, 69, 16, 93, 49,101) 6499 ( 5, 31, 30, 94, 42,108, 75,109, 77,114, 58,120, 97, 72, 21) 6500 ( 6, 50, 29, 78, 81,121, 7, 44, 32, 57, 13, 67,100, 91,119) 6501 ( 11, 55, 88,107, 92, 17, 38, 59, 98, 52, 12, 19, 26, 36, 80) 6502 ( 25,104, 90, 53, 85, 64, 37, 48, 95, 71,112, 73,118, 96, 65), 6503 ( 1, 5, 53, 10, 40,111,101, 85, 22, 97,106, 69, 59, 82, 35, 93, 21, 6504 75, 16, 31, 71, 9, 12, 50, 66, 67, 78, 84,105, 61,118, 33, 62,121, 6505 4, 11, 47, 28, 8,113, 55, 29,122, 3, 95, 45, 37, 34, 70, 74, 77, 6506 44, 58, 57, 15, 54, 43, 36, 14, 19, 56)( 2, 87, 98,112, 18,120,108, 6507 119, 83, 25,104, 32, 17, 42, 41, 96, 88, 64,115, 63, 20, 81, 89, 13, 6508 6, 30,109, 86, 72, 24, 68, 49, 80, 90, 38,110, 91, 65,114,107, 92, 6509 103, 94,100, 7, 46, 52, 73,102,116, 79, 39, 76, 48, 27, 99, 60, 26, 6510 51, 23,117) ] ], 6511[ 2, 1771440, 0, "2", [ [ 121, 1 ] ], 3, "PGL(2, 11^2)", 6512 [ "L", [ 2, 121 ], 1 ], 6513 [ ( 1, 50,119, 35, 70, 27, 43, 22, 52, 39, 53, 48, 63, 40, 67, 12, 33,122, 6514 100, 32, 29, 71, 11, 89,112, 55, 75, 5,120, 18, 9, 25, 97,103, 86, 6515 107, 59,111,104, 66, 76, 83, 2, 3,114,109, 23, 82, 31,102, 57,101, 6516 116, 85, 38, 8, 14, 21, 87, 44, 15)( 4, 93, 98, 64, 26, 78, 54, 60, 6517 108, 96, 17, 90, 16, 45,110, 34, 58, 24, 94, 95, 79, 13,118, 41, 65, 6518 7, 73, 47, 81, 92,117, 10, 68, 74, 49, 46, 77,115, 6,113, 69, 56, 6519 99, 28, 61, 37, 42, 84, 80, 30, 19,106, 36, 72,105, 88,121, 62, 91, 6520 20, 51), ( 1,116,118, 34, 37, 13,104, 63, 60, 31, 51, 36, 24,100, 6521 65, 73, 85,117, 81, 12, 10, 93, 84, 22, 88,114, 50, 39, 2, 99, 83, 6522 4, 92, 69, 94,115, 86, 41, 45, 95)( 3, 6, 16, 18, 27,107,120, 20, 6523 19, 25,111, 5, 58, 40, 97, 53, 71, 57, 96, 52,108, 56, 30, 54, 14, 6524 28, 35,102, 32, 46, 11, 29, 91,112, 75, 68,103, 44,101, 98) 6525 ( 7, 90, 59, 42, 70,110, 66, 55, 26,119, 82, 38, 87, 77, 43, 48,109, 6526 79, 21, 15,121, 47, 17, 33, 49, 76, 89, 8,106,105, 9, 78,113, 61, 6527 67, 72, 62, 64, 80, 23) ] ], 6528[ 3, 1771440, 0, "2", [ [ 121, 1 ] ], 2, "PSigmaL(2, 11^2)", 6529 [ "L", [ 2, 121 ], 1 ], 6530 [ ( 1, 25, 24, 60)( 2, 80,100, 7)( 3, 12, 26,105)( 4,119, 49, 92) 6531 ( 5, 11, 15, 45)( 6, 53, 44, 58)( 8,116, 28, 30)( 9,108, 20, 61) 6532 ( 10, 97, 40, 81)( 13, 31,117, 82)( 14, 48, 42,107)( 16,109,115, 69) 6533 ( 17, 55, 21, 70)( 18, 84, 88, 79)( 19,122, 76, 98)( 22, 63, 57, 29) 6534 ( 23, 87, 35, 46)( 27, 71, 43, 72)( 32,118, 65, 89)( 33, 86, 39, 62) 6535 ( 34,112, 78, 73)( 36,120,101,102)( 37, 52, 99, 56)( 38, 74, 75,121) 6536 ( 41,110, 66, 95)( 47,113,104, 77)( 50,111, 68,114)( 51, 59,106, 94) 6537 ( 54,103, 93, 83)( 64, 91, 85, 67)( 90, 96), 6538 ( 1,104, 76, 70)( 2,107, 59, 6)( 3, 96, 21, 79)( 4,108, 56, 90) 6539 ( 5, 9,122, 62)( 7, 77, 71, 60)( 8, 45,105, 48)( 10, 44, 88, 17) 6540 ( 11, 92, 61, 89)( 12,100, 58,120)( 13, 75, 33, 37)( 14,113,116, 87) 6541 ( 15, 24,117,111)( 16, 93, 68, 26)( 18, 32, 36, 81)( 19, 40,110, 73) 6542 ( 20, 97, 41, 84)( 22,109, 83, 27)( 23, 52, 28,121)( 25, 69,118, 30) 6543 ( 29, 50,103, 43)( 31, 38, 49, 57)( 34, 54, 91, 85)( 35, 46, 39, 53) 6544 ( 51,101, 86, 95)( 55, 66, 63,114)( 64,119, 72,102)( 65,106, 74, 67) 6545 ( 78,112,115, 80)( 82, 99, 98, 94) ] ], 6546[ 4, 1771440, 0, "2", [ [ 121, 1 ] ], 3, "PSL(2, 11^2).2_3", 6547 [ "L", [ 2, 121 ], 1 ], 6548 [ ( 1, 97, 53, 30, 71, 29,104,118, 43, 79, 98, 92, 31, 19, 50, 88, 7, 63, 6549 103, 80, 94,114, 41, 87, 61, 17, 72, 66,106, 22, 55,112, 65,107, 40, 6550 109, 69, 81, 46, 14, 23, 21, 45, 67, 24, 90, 38, 12, 85, 9,116, 93, 6551 121, 25, 51,102, 15, 57, 6, 37, 74)( 2, 84, 99, 83, 27,122, 3, 34, 6552 39, 49,117, 75,115, 33, 54, 18, 77, 32, 28,113, 59, 91,119,120, 76, 6553 70, 10, 73, 35, 5, 8, 4, 95, 11, 36, 62, 56, 48, 64, 26, 47, 82, 6554 78, 20, 52,111,110, 60, 44, 42,108, 96, 86, 68, 58, 13, 89,105, 16, 6555 101,100), ( 1,108, 34, 53,117, 2,110, 92, 43, 21, 20, 89, 74, 23, 6556 103,111,121, 31,120, 68, 45, 72, 8,116)( 3, 5, 87, 35, 16, 25, 94, 6557 102, 15, 63, 37, 88,122, 30, 69, 36, 76,109, 67,104, 54, 62, 44, 84) 6558 ( 4, 24, 65, 49, 99,105, 96, 93, 42, 73, 75, 26, 33, 9, 46, 22, 81, 6559 17, 71, 41,112, 85,100, 61)( 6, 79, 60, 57, 38,119, 12, 78, 11, 28, 6560 97, 52, 40, 82, 90, 48, 64, 32, 55, 66,115, 14, 86, 18) 6561 ( 7, 56, 77,106, 47, 91, 19, 95, 58, 27,114,107, 10,113, 98, 59, 70, 6562 80, 13, 39, 29, 50, 83, 51)(101,118) ] ], 6563[ 5, 3542880, 0, "2", [ [ 121, 1 ] ], 3, "PGammaL(2, 11^2)", 6564 [ "L", [ 2, 121 ], 1 ], 6565 [ ( 1, 25, 52,104,101, 94, 23, 56, 36, 27, 50, 20,118, 42, 57, 59, 85, 19, 6566 115, 97, 91, 55, 41,117, 75,109, 34, 82, 32, 67, 13, 63,102, 71, 79, 6567 77, 88, 87, 70, 2, 61,121,111, 31, 48, 11, 81, 16, 80, 39, 64, 68, 6568 17, 21, 46, 5, 69, 4, 74, 37, 54, 96, 86, 24, 83, 15,120,119, 8, 6569 6, 14,105, 22, 72, 18, 53, 3, 51, 98, 10, 90, 44, 30,116,110, 92, 6570 66,122, 26, 28, 43, 89, 65, 35, 58, 49, 29, 62,113,106,103, 33, 60, 6571 84,100, 78, 9, 12, 99, 95, 40,114, 93, 45,112,108, 73, 76, 7,107), 6572 ( 1, 51,110, 45,111, 94, 74, 47, 63, 28, 70, 19, 34, 15, 84, 38, 81, 6573 67, 60,121)( 2, 89, 90, 91, 46,101, 44, 4, 71, 61, 43,100, 48, 31, 6574 59,118, 49,122,107, 22)( 3, 5, 55,117,109, 6, 16, 11, 39,105, 35, 6575 10, 26, 8, 7, 86, 82, 52, 9, 69)( 12, 72, 27,103, 42, 18, 98,108, 6576 80, 77, 56, 37, 88, 97,120, 40, 96, 83, 78, 25)( 13, 66, 57, 53, 24, 6577 116, 30, 95,119, 92, 41, 20,114,106, 64,113,112,102, 62, 65) 6578 ( 14, 76, 79,115, 17, 50, 99, 75, 68, 85, 36, 87, 73, 32,104, 54, 29, 6579 58, 93, 23) ] ], 6580[6, Factorial(122)/2,1,"2",[[121,1]],120, "Alt(122)", ["A",122, 1], "Alt"], 6581[7, Factorial(122),0,"2",[[121, 1]],122, "Sym(122)", ["A",122, 1], "Sym"]]; 6582PRIMGRP[123]:= 6583[[1, Factorial(123)/2,1,"2",[[122,1]],121, "Alt(123)", ["A",123, 1], "Alt"], 6584[2, Factorial(123),0,"2",[[122, 1]],123, "Sym(123)", ["A",123, 1], "Sym"]]; 6585PRIMGRP[124]:= 6586[[1, Factorial(124)/2,1,"2",[[123,1]],122, "Alt(124)", ["A",124, 1], "Alt"], 6587[2, Factorial(124),0,"2",[[123, 1]],124, "Sym(124)", ["A",124, 1], "Sym"]]; 6588PRIMGRP[125]:= 6589[[ 1, 1500, 2, "1", [ [ 4, 4 ], [ 6, 2 ], [ 12, 8 ] ], 1, "5^3:Alt(4)", 6590 [ "Z", 5, 3 ], 6591 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, 6592 Z(5)^2, Z(5)^2 ] ], 6593 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^0, 0*Z(5), 0*Z(5) ], 6594 [ Z(5)^2, Z(5)^2, Z(5)^2 ] ] ] ], 6595[ 2, 3000, 2, "1", [ [ 4, 4 ], [ 6, 2 ], [ 24, 1 ], [ 12, 6 ] ], 1, 6596 "5^3:Sym(4)", [ "Z", 5, 3 ], 6597 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6598 [ Z(5)^2, Z(5)^2, Z(5)^2 ] ], 6599 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2, Z(5)^2 ], 6600 [ 0*Z(5), Z(5)^0, 0*Z(5) ] ] ] ], 6601[ 3, 3000, 2, "1", [ [ 12, 2 ], [ 24, 3 ], [ 6, 2 ], [ 8, 2 ] ], 1, 6602 "5^3:Sym(4)", [ "Z", 5, 3 ], 6603 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6604 [ Z(5)^0, Z(5)^2, Z(5)^0 ] ], 6605 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^2 ], 6606 [ Z(5)^2, Z(5)^0, Z(5)^2 ] ] ] ], 6607[ 4, 3000, 2, "1", [ [ 12, 4 ], [ 24, 2 ], [ 6, 2 ], [ 8, 2 ] ], 1, 6608 "5^3:(2 wreath Alt(3))", [ "Z", 5, 3 ], 6609 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6610 [ Z(5)^2, 0*Z(5), 0*Z(5) ] ], 6611 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, 0*Z(5), 0*Z(5) ], 6612 [ 0*Z(5), Z(5)^2, 0*Z(5) ] ] ] ], 6613[ 5, 3875, 2, "1", [ [ 31, 4 ] ], 1, "5^3:31", [ "Z", 5, 3 ], 6614 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), Z(5)^3, Z(5)^0 ], 6615 [ Z(5)^0, Z(5)^2, 0*Z(5) ] ], 6616 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, Z(5)^2, 0*Z(5) ], 6617 [ 0*Z(5), Z(5)^0, Z(5) ] ] ] ], 6618[ 6, 6000, 2, "1", [ [ 12, 1 ], [ 24, 2 ], [ 48, 1 ], [ 16, 1 ] ], 1, 6619 "5^3:(4 x Alt(4))", [ "Z", 5, 3 ], 6620 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5) ], 6621 [ Z(5)^0, 0*Z(5), 0*Z(5) ] ], 6622 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, 0*Z(5), 0*Z(5) ], 6623 [ 0*Z(5), Z(5)^3, 0*Z(5) ] ] ] ], 6624[ 7, 6000, 2, "1", [ [ 12, 3 ], [ 24, 1 ], [ 48, 1 ], [ 16, 1 ] ], 1, 6625 "5^3:2^2:Q_12", [ "Z", 5, 3 ], 6626 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6627 [ Z(5)^0, Z(5)^3, Z(5) ] ], 6628 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^2, 0*Z(5), 0*Z(5) ], 6629 [ Z(5)^3, Z(5)^0, Z(5) ] ] ] ], 6630[ 8, 6000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 16, 4 ] ], 1, "5^3:4^2:3", 6631 [ "Z", 5, 3 ], 6632 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), 6633 Z(5)^3 ] ], 6634 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6635 [ Z(5)^0, 0*Z(5), 0*Z(5) ] ] ] ], 6636[ 9, 6000, 2, "1", [ [ 12, 2 ], [ 24, 3 ], [ 6, 2 ], [ 8, 2 ] ], 1, 6637 "5^3:(2 x Sym(4))", [ "Z", 5, 3 ], 6638 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6639 [ Z(5)^2, 0*Z(5), 0*Z(5) ] ], 6640 [ [ Z(5)^2, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^2 ], 6641 [ 0*Z(5), Z(5)^0, 0*Z(5) ] ] ] ], 6642[ 10, 7750, 2, "1", [ [ 62, 2 ] ], 1, "5^3:62", [ "Z", 5, 3 ], 6643 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6644 [ Z(5)^2, Z(5)^0, Z(5)^2 ] ], 6645 [ [ Z(5), Z(5)^3, 0*Z(5) ], [ 0*Z(5), Z(5), Z(5)^3 ], 6646 [ Z(5), Z(5)^3, Z(5)^2 ] ] ] ], 6647[ 11, 11625, 2, "1", [ [ 31, 4 ] ], 1, "5^3:31:3", [ "Z", 5, 3 ], 6648 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6649 [ 0*Z(5), Z(5)^2, Z(5)^2 ] ], 6650 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), 0*Z(5), Z(5)^2 ], 6651 [ Z(5)^2, Z(5)^2, 0*Z(5) ] ] ] ], 6652[ 12, 12000, 2, "1", [ [ 12, 1 ], [ 24, 2 ], [ 48, 1 ], [ 16, 1 ] ], 1, 6653 "5^3:(4 x Sym(4))", [ "Z", 5, 3 ], 6654 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6655 [ Z(5), 0*Z(5), 0*Z(5) ] ], 6656 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^3 ], 6657 [ 0*Z(5), Z(5)^3, 0*Z(5) ] ] ] ], 6658[ 13, 12000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 32, 2 ] ], 1, 6659 "5^3:(2 x 4^2:3)", [ "Z", 5, 3 ], 6660 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), Z(5)^0, 0*Z(5) ], 6661 [ Z(5)^0, Z(5), Z(5) ] ], 6662 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, Z(5)^2, Z(5)^0 ], 6663 [ 0*Z(5), Z(5)^2, Z(5)^0 ] ] ] ], 6664[ 14, 12000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 32, 2 ] ], 1, "5^3:4^2:Sym(3)", 6665 [ "Z", 5, 3 ], 6666 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ Z(5), Z(5)^2, 0*Z(5) ], [ Z(5)^3, 0*Z(5), 6667 Z(5)^2 ] ], 6668 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6669 [ Z(5)^0, 0*Z(5), 0*Z(5) ] ] ] ], 6670[ 15, 12000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 16, 4 ] ], 1, "5^3:4^2:Sym(3)", 6671 [ "Z", 5, 3 ], 6672 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^3, 6673 Z(5)^2, Z(5)^2 ] ], 6674 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), 0*Z(5), Z(5)^3 ], 6675 [ Z(5)^0, Z(5), Z(5) ] ] ] ], 6676[ 16, 15500, 2, "1", [ [ 124, 1 ] ], 2, "AGL(1, 5^3)", [ "Z", 5, 3 ], 6677 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5)^3, Z(5)^0 ], 6678 [ Z(5)^3, Z(5), Z(5)^2 ] ], 6679 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^3, Z(5), Z(5)^2 ], 6680 [ Z(5)^3, Z(5)^0, Z(5)^0 ] ] ] ], 6681[ 17, 23250, 2, "1", [ [ 62, 2 ] ], 1, "5^3:(2 x 31:3)", [ "Z", 5, 3 ], 6682 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^3, 0*Z(5), Z(5)^2 ], 6683 [ Z(5)^0, Z(5)^3, 0*Z(5) ] ], 6684 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ 0*Z(5), Z(5), Z(5)^3 ], 6685 [ Z(5)^3, Z(5)^0, Z(5)^3 ] ] ] ], 6686[ 18, 24000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, "5^3:4^2:Q_12", 6687 [ "Z", 5, 3 ], 6688 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, 6689 Z(5)^2, Z(5)^2 ] ], 6690 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^3, Z(5), 0*Z(5) ], 6691 [ Z(5)^3, 0*Z(5), Z(5)^0 ] ] ] ], 6692[ 19, 24000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6693 "5^3:(4 wreath Alt(3))", [ "Z", 5, 3 ], 6694 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6695 [ Z(5), 0*Z(5), 0*Z(5) ] ], 6696 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ Z(5)^0, Z(5)^2, Z(5) ], 6697 [ Z(5)^0, Z(5), 0*Z(5) ] ] ] ], 6698[ 20, 24000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 32, 2 ] ], 1, 6699 "5^3:(2 x 4^2:Sym(3))", [ "Z", 5, 3 ], 6700 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^3, 0*Z(5), 0*Z(5) ], 6701 [ 0*Z(5), 0*Z(5), Z(5)^3 ] ], 6702 [ [ Z(5)^3, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6703 [ 0*Z(5), Z(5), 0*Z(5) ] ] ] ], 6704[ 21, 46500, 2, "1", [ [ 124, 1 ] ], 2, "AGammaL(1, 5^3)", [ "Z", 5, 3 ], 6705 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^0, Z(5)^3, Z(5)^3 ], 6706 [ 0*Z(5), 0*Z(5), Z(5) ] ], 6707 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^0, 0*Z(5) ], 6708 [ Z(5)^2, Z(5)^3, Z(5)^2 ] ] ] ], 6709[ 22, 48000, 2, "1", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6710 "5^3:(GL(1, 5) wreath Sym(3))", [ "Z", 5, 3 ], 6711 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^3, 0*Z(5), 0*Z(5) ], 6712 [ Z(5)^0, 0*Z(5), Z(5) ] ], 6713 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, Z(5)^3, Z(5)^0 ], 6714 [ Z(5)^0, 0*Z(5), Z(5) ] ] ] ], 6715[ 23, 46500000, 0, "1", [ [ 124, 1 ] ], 2, "ASL(3, 5)", [ "Z", 5, 3 ], 6716 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), Z(5), Z(5)^0 ], 6717 [ Z(5)^0, Z(5)^3, Z(5)^2 ] ], 6718 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5), Z(5), Z(5)^2 ], 6719 [ 0*Z(5), Z(5)^3, Z(5)^3 ] ] ] ], 6720[ 24, 93000000, 0, "1", [ [ 124, 1 ] ], 2, "5^3:(SL(3, 5):2)", [ "Z", 5, 3 ], 6721 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6722 [ Z(5)^2, Z(5)^0, Z(5)^0 ] ], 6723 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), Z(5)^2, Z(5)^2 ], 6724 [ Z(5)^3, Z(5)^3, Z(5)^3 ] ] ] ], 6725[ 25, 186000000, 0, "1", [ [ 124, 1 ] ], 2, "AGL(3, 5)", [ "Z", 5, 3 ], 6726 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5), Z(5) ], 6727 [ Z(5)^0, Z(5)^3, Z(5)^0 ] ], 6728 [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, Z(5)^2, Z(5)^0 ], 6729 [ Z(5)^0, Z(5)^2, Z(5)^3 ] ] ] ], 6730[ 26, 648000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6731 "Alt(5) wreath 3", [ "A", 5, 3 ], 6732 [ ( 1, 36, 62, 70, 10, 81, 88, 73,125,109, 79, 28, 47,117, 19) 6733 ( 2, 41, 12, 66, 15, 56, 90, 58,100,108, 99,103, 49,102, 44) 6734 ( 3, 46,112, 69, 5, 31, 87, 68, 25,106, 89, 53, 50,107, 94) 6735 ( 4, 26, 37, 67, 20, 6, 86, 63, 75,110, 84, 78, 48,122,119) 6736 ( 7, 91, 13, 71,115, 59, 80, 33, 97,118, 24,101, 39, 52, 45) 6737 ( 8, 96,113, 74,105, 34, 77, 43, 22,116, 14, 51, 40, 57, 95) 6738 ( 9, 76, 38, 72,120)( 11, 61, 65, 60, 85, 83, 98,123,124,104, 29, 27, 6739 42, 17, 16)( 18, 21,111, 64, 55, 35, 82, 93, 23,121,114, 54, 30, 32, 6740 92), ( 1, 47, 84, 11, 48, 59, 16, 50,109)( 2, 97, 89, 13, 73, 69, 6741 20,125,104)( 3, 72, 94, 15,123, 54, 17,100,114)( 4, 22, 99, 14, 6742 23, 74, 19, 25,124)( 5,122, 79, 12, 98, 64, 18, 75,119) 6743 ( 6, 46, 34)( 7, 96, 39, 8, 71, 44, 10,121, 29)( 9, 21, 49) 6744 ( 26, 32, 81, 36, 33, 56, 41, 35,106)( 27, 82, 86, 38, 58, 66, 45,110, 6745 101)( 28, 57, 91, 40,108, 51, 42, 85,111)( 30,107, 76, 37, 83, 61, 6746 43, 60,116)( 52, 92, 90,113, 53, 67, 95,115,103)( 55,117, 80,112, 6747 78, 62, 93, 65,118)( 63, 68, 70,120,105,102, 77, 87, 88) ] ], 6748[ 27, 1296000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, "Alt(5)^3.6", 6749 [ "A", 5, 3 ], 6750 [ ( 1, 22,102, 3, 12, 52, 4, 7, 77, 5, 17, 27)( 6, 97,105, 18, 37, 51, 6751 24,107, 78, 15, 67, 29)( 8, 87, 55, 19, 32, 76, 25,117, 28, 11, 72, 6752 104)( 9, 82, 80, 20, 42, 26, 21,122,103, 13, 62, 54) 6753 ( 10, 92, 30, 16, 47,101, 23,112, 53, 14, 57, 79)( 31, 96,125,118, 38, 6754 61, 74,109, 83, 90, 70, 44)( 33, 86, 75,119)( 34, 81,100,120, 43, 36, 6755 71,124,108, 88, 65, 69)( 35, 91, 50,116, 48,111, 73,114, 58, 89, 60, 6756 94)( 39, 56, 99,110, 93, 40, 66, 49,106, 98,115, 68) 6757 ( 41, 46,121,123,113, 63, 64, 59, 84, 85, 95, 45), 6758 ( 1, 80, 91, 51, 77, 86, 26, 78, 96,101, 79, 81)( 2, 90, 41, 53, 97, 6759 111, 29, 83, 21,105, 94, 56)( 3,100,116, 54, 82, 11, 30, 93, 71,102, 6760 89, 31)( 4, 85, 16, 55, 92, 61, 27, 88, 46,103, 99,106) 6761 ( 5, 95, 66, 52, 87, 36, 28, 98,121,104, 84, 6)( 7, 15, 45, 68, 72, 6762 112, 39, 33, 23,125,119, 59)( 8, 25,120, 69, 57, 12, 40, 43, 73,122, 6763 114, 34)( 9, 10, 20, 70, 67, 62, 37, 38, 48,123,124,109) 6764 ( 13, 50,118, 74,107, 14, 35, 18, 75,117, 64, 32)( 17, 65, 42, 63, 47, 6765 113, 49,108, 24,110, 19, 60)( 22,115, 44, 58) ] ], 6766[ 28, 1296000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6767 "Alt(5) wreath Sym(3)", [ "A", 5, 3 ], 6768 [ ( 1,122, 13,120, 9,101, 22,113, 20,109)( 2,112, 15,110, 6,121, 23,118, 6769 19,104)( 3,117, 14,105, 7,111, 25,108, 16,124)( 4,102, 12,115, 10, 6770 106, 21,123, 18,119)( 5,107, 11,125, 8,116, 24,103, 17,114) 6771 ( 26, 72, 38, 70, 34, 51, 47, 63, 45, 59)( 27, 62, 40, 60, 31, 71, 48, 6772 68, 44, 54)( 28, 67, 39, 55, 32, 61, 50, 58, 41, 74)( 29, 52, 37, 65, 6773 35, 56, 46, 73, 43, 69)( 30, 57, 36, 75, 33, 66, 49, 53, 42, 64) 6774 ( 76, 97, 88, 95, 84)( 77, 87, 90, 85, 81, 96, 98, 93, 94, 79) 6775 ( 78, 92, 89, 80, 82, 86,100, 83, 91, 99), 6776 ( 1, 6, 7, 57, 62, 65, 90, 80, 76)( 2, 56, 12, 60, 87, 55, 86, 5, 6777 81)( 3, 31, 17, 58, 37, 70, 88, 30, 91)( 4,106, 22, 59,112, 75, 6778 89,105, 96)( 8, 32, 67, 63, 40, 95, 78, 26, 16)( 9,107, 72, 64, 6779 115,100, 79,101, 21)( 10, 82, 52, 61, 15, 85, 77, 51, 11) 6780 ( 13, 35, 92, 53, 36, 20, 83, 27, 66)( 14,110, 97, 54,111, 25, 84,102, 6781 71)( 18, 33, 42, 68, 38, 45, 93, 28, 41)( 19,108, 47, 69,113, 50, 94, 6782 103, 46)( 23, 34,117, 73, 39,120, 98, 29,116)( 24,109,122, 74,114, 6783 125, 99,104,121)( 44,118, 48)( 49,119,123) ] ], 6784[ 29, 1296000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6785 "Alt(5)^3.Sym(3)", [ "A", 5, 3 ], 6786 [ ( 1, 44, 11, 45, 6, 43)( 2, 49, 12, 50, 7, 48)( 3, 29, 14, 40, 10, 33 6787 )( 4, 39, 15, 35, 8, 28)( 5, 34, 13, 30, 9, 38)( 16, 41)( 17, 46) 6788 ( 18, 26, 19, 36, 20, 31)( 21, 42)( 22, 47)( 23, 27, 24, 37, 25, 32) 6789 ( 51, 94,111, 70, 81,118)( 52, 99,112, 75, 82,123)( 53, 79,114, 65, 6790 85,108)( 54, 89,115, 60, 83,103)( 55, 84,113)( 56, 93,101, 69, 86, 6791 120)( 57, 98,102, 74, 87,125)( 58, 78,104, 64, 90,110)( 59, 88,105) 6792 ( 61, 95,106, 68, 76,119)( 62,100,107, 73, 77,124)( 63, 80,109) 6793 ( 66, 91,116)( 67, 96,117, 71, 92,121)( 72, 97,122), 6794 ( 1,104,122, 17, 94, 98, 13, 39, 46)( 2,119, 97, 18, 89, 48, 11, 29, 6795 121)( 3,114, 47, 16, 79,123, 12, 44, 96)( 4,124, 22, 19, 99, 23, 6796 14, 49, 21)( 5,109, 72, 20, 84, 73, 15, 34, 71)( 6, 54,125, 7, 6797 69,100, 8, 64, 50)( 9, 74, 25)( 10, 59, 75)( 26,101,102,117, 92, 6798 93, 88, 38, 36)( 27,116, 77,118, 87, 43, 86, 28,111) 6799 ( 30,106, 52,120, 82, 68, 90, 33, 61)( 31, 51,105,107, 67, 95, 83, 63, 6800 40)( 32, 66, 80,108, 62, 45, 81, 53,115)( 35, 56, 55,110, 57, 70, 85, 6801 58, 65)( 37, 41, 76,103,112, 42, 91, 78,113) ] ], 6802[ 30, 2592000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6803 "Alt(5)^3.2^2.3", [ "A", 5, 3 ], 6804 [ ( 1, 24, 18, 15, 2, 21, 19, 13, 5, 22, 16, 14, 3, 25, 17, 11, 4, 23, 6805 20, 12)( 6, 9, 8, 10, 7)( 26, 74, 43, 65, 27, 71, 44, 63, 30, 6806 72, 41, 64, 28, 75, 42, 61, 29, 73, 45, 62)( 31, 59, 33, 60, 32, 56, 6807 34, 58, 35, 57)( 36, 54, 48, 70, 37, 51, 49, 68, 40, 52, 46, 69, 38, 6808 55, 47, 66, 39, 53, 50, 67)( 76, 99, 93, 90, 77, 96, 94, 88, 80, 97, 6809 91, 89, 78,100, 92, 86, 79, 98, 95, 87)( 81, 84, 83, 85, 82) 6810 (101,124,118,115,102,121,119,113,105,122,116,114,103,125,117,111,104, 6811 123,120,112)(106,109,108,110,107), 6812 ( 1, 53,108,115, 11, 51, 58,110, 15)( 2, 78,118,112, 86, 66, 57, 85, 6813 20)( 3,103,113,111, 61, 56, 60, 10, 5)( 4, 28,123,114, 36, 71, 6814 59, 35, 25)( 6, 55, 8,105, 13,101, 63,106, 65)( 7, 80, 18,102, 6815 88,116, 62, 81, 70)( 9, 30, 23,104, 38,121, 64, 31, 75) 6816 ( 12, 76, 68,107, 90, 16, 52, 83,120)( 14, 26, 73,109, 40, 21, 54, 33, 6817 125)( 17, 77, 93,117, 87, 91, 67, 82, 95)( 19, 27, 98,119, 37, 96, 6818 69, 32,100)( 22, 79, 43,122, 89, 41, 72, 84, 45)( 24, 29, 48,124, 6819 39, 46, 74, 34, 50)( 42, 97, 94)( 44, 47, 99) ] ], 6820[ 31, 2592000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6821 "Alt(5)^3.D_12", [ "A", 5, 3 ], 6822 [ ( 1,110, 68, 46, 9, 65, 91, 32, 54,111, 83, 72)( 2,105,118, 48, 24, 15, 6823 95, 42, 29,114, 88, 97)( 3,125, 18, 50, 19, 40, 94, 37, 79,112, 78, 6824 122)( 4,115, 93, 47)( 5,120, 43, 49, 14, 90, 92, 27,104,113, 98, 22 6825 )( 6, 60, 66, 31, 59, 61, 81, 57, 51,106, 58, 71)( 7, 55,116, 33, 6826 74, 11, 85, 67, 26,109, 63, 96)( 8, 75, 16, 35, 69, 36, 84, 62, 76, 6827 107, 53,121)( 10, 70, 41, 34, 64, 86, 82, 52,101,108, 73, 21) 6828 ( 12, 80,117, 28,124, 13,100, 17, 30,119, 38, 99)( 20, 45, 44, 39, 89, 6829 87, 77,102,103,123, 23, 25), ( 1, 43, 61, 27, 91, 40)( 2, 93, 65) 6830 ( 3, 68, 62, 77, 95, 15)( 4,118, 64,102, 94,115)( 5, 18, 63, 52, 6831 92, 90)( 6, 48, 56, 47, 81, 50)( 7, 98, 60, 22, 83, 75) 6832 ( 8, 73, 57, 97, 85, 25)( 9,123, 59,122, 84,125)( 10, 23, 58, 72, 6833 82,100)( 11, 28, 66, 37, 76, 45)( 12, 78, 70)( 13, 53, 67, 87, 80, 6834 20)( 14,103, 69,112, 79,120)( 16, 38, 51, 42, 86, 30)( 17, 88, 55) 6835 ( 19,113, 54,117, 89,105)( 21, 33, 71, 32, 96, 35)( 24,108, 74,107, 6836 99,110)( 26, 41, 36)( 29,116, 39,101, 44,111)( 31, 46)( 34,121) 6837 ( 49,106)(104,119,114)(109,124) ] ], 6838[ 32, 5184000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6839 "Sym(5) wreath 3", [ "A", 5, 3 ], 6840 [ ( 1, 12, 5, 14)( 2, 15, 4, 11)( 3, 13)( 6, 17, 10, 19) 6841 ( 7, 20, 9, 16)( 8, 18)( 21, 22, 25, 24)( 26, 87, 55, 39, 76, 62, 6842 30, 89, 51, 37, 80, 64)( 27, 90, 54, 36, 77, 65, 29, 86, 52, 40, 79, 6843 61)( 28, 88, 53, 38, 78, 63)( 31, 92, 60, 44, 81, 67, 35, 94, 56, 42, 6844 85, 69)( 32, 95, 59, 41, 82, 70, 34, 91, 57, 45, 84, 66) 6845 ( 33, 93, 58, 43, 83, 68)( 46, 97, 75, 49, 96, 72, 50, 99, 71, 47,100, 6846 74)( 48, 98, 73)(101,112,105,114)(102,115,104,111)(103,113) 6847 (106,117,110,119)(107,120,109,116)(108,118)(121,122,125,124), 6848 ( 1, 98, 70, 27,113, 59)( 2,123, 60, 26, 88, 69)( 3, 73, 55, 28, 63, 6849 54)( 4, 23, 75, 30, 38, 64)( 5, 48, 65, 29, 13, 74) 6850 ( 6, 96, 95, 42,112,109)( 7,121, 85, 41, 87,119)( 8, 71, 80, 43, 6851 62,104)( 9, 21,100, 45, 37,114)( 10, 46, 90, 44, 12,124) 6852 ( 11, 99, 20, 47,115, 34)( 14, 24, 25, 50, 40, 39)( 15, 49) 6853 ( 16, 97,120, 32,111, 84)( 17,122,110, 31, 86, 94)( 18, 72,105, 33, 6854 61, 79)( 19, 22,125, 35, 36, 89)( 51, 78, 68, 52,103, 58) 6855 ( 56, 76, 93, 67,102,108)( 57,101, 83, 66, 77,118)( 81, 91, 92,117, 6856 107,106)( 82,116) ] ], 6857[ 33, 5184000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6858 "Alt(5)^3.Sym(4)", [ "A", 5, 3 ], 6859 [ ( 1, 45,113, 79, 47, 58)( 2, 35, 13, 80, 37, 83)( 3, 30, 38, 78, 27, 33 6860 )( 4, 50, 63, 76, 42,108)( 5, 40, 88, 77, 32, 8)( 6, 20,115, 89, 6861 97, 57)( 7, 10, 15, 90, 87, 82)( 9, 25, 65, 86, 92,107) 6862 ( 11, 95,112, 84, 22, 60)( 12, 85)( 14,100, 62, 81, 17,110) 6863 ( 16,120,114, 99, 72, 56)( 18,105, 39, 98, 52, 31)( 19,125, 64, 96, 6864 67,106)( 21, 70,111, 94,122, 59)( 23, 55, 36, 93,102, 34) 6865 ( 24, 75, 61, 91,117,109)( 26, 43,103, 29, 48, 53)( 41,118,104, 49, 6866 73, 51)( 44,123, 54, 46, 68,101)( 66,116,119,124, 74, 71)( 69,121), 6867 ( 1, 47, 60, 14, 77, 71, 34, 90)( 2, 72, 59, 89, 76, 46, 35, 15) 6868 ( 3,122, 58,114, 78,121, 33,115)( 4, 97, 56, 39, 80, 21, 32, 65) 6869 ( 5, 22, 57, 64, 79, 96, 31, 40)( 6, 37, 55, 24, 82, 61, 29,100) 6870 ( 7, 62, 54, 99, 81, 36, 30, 25)( 8,112, 53,124, 83,111, 28,125) 6871 ( 9, 87, 51, 49, 85, 11, 27, 75)( 10, 12, 52, 74, 84, 86, 26, 50) 6872 ( 13,102, 73,109, 88,101, 48,110)( 16, 42, 70, 19, 92, 66, 44, 95) 6873 ( 17, 67, 69, 94, 91, 41, 45, 20)( 18,117, 68,119, 93,116, 43,120) 6874 ( 23,107, 63,104, 98,106, 38,105)(103,123,108,113) ] ], 6875[ 34, 5184000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6876 "Alt(5)^3.Sym(4)", [ "A", 5, 3 ], 6877 [ ( 1, 93,112, 25, 81,119, 2, 98,111, 20, 82,124)( 3, 88,115, 10, 84,104) 6878 ( 4, 78,113, 15, 85,109)( 5, 83,114)( 6, 94,102, 23, 86,120, 7, 6879 99,101, 18, 87,125)( 8, 89,105)( 9, 79,103, 13, 90,110) 6880 ( 11, 95,107, 24, 76,118, 12,100,106, 19, 77,123)( 14, 80,108) 6881 ( 16, 92,122, 21, 91,117, 22, 96,116, 17, 97,121)( 26, 43, 37, 50, 31, 6882 44, 27, 48, 36, 45, 32, 49)( 28, 38, 40, 35, 34, 29)( 30, 33, 39) 6883 ( 41, 42, 47, 46)( 51, 68, 62, 75, 56, 69, 52, 73, 61, 70, 57, 74) 6884 ( 53, 63, 65, 60, 59, 54)( 55, 58, 64)( 66, 67, 72, 71), 6885 ( 1, 80, 94, 64, 38, 46)( 2, 85,119, 62, 33,121)( 3,100, 19, 65, 43, 6886 71)( 4, 90, 44, 61, 28, 96)( 5, 95, 69, 63, 48, 21) 6887 ( 6,105, 92, 59,113, 47)( 7,110,117, 57,108,122)( 8,125, 17, 60, 6888 118, 72)( 9,115, 42, 56,103, 97)( 10,120, 67, 58,123, 22) 6889 ( 11, 30, 91, 54, 88, 49)( 12, 35,116, 52, 83,124)( 13, 50, 16, 55, 6890 93, 74)( 14, 40, 41, 51, 78, 99)( 15, 45, 66, 53, 98, 24)( 18, 75) 6891 ( 20, 70, 68, 73, 23, 25)( 26, 76, 79, 89, 39, 36)( 27, 81,104, 87, 6892 34,111)( 29, 86)( 31,101, 77, 84,114, 37)( 32,106,102, 82,109,112) 6893 ] ], 6894[ 35, 10368000, 0, "4c", [ [ 12, 1 ], [ 48, 1 ], [ 64, 1 ] ], 1, 6895 "Sym(5) wreath Sym(3)", [ "A", 5, 3 ], 6896 [ ( 1, 97, 8, 74, 43, 51, 92, 6, 99, 33, 54, 42)( 2, 22, 23, 73, 68, 66, 6897 91, 81, 84, 34, 29, 27)( 3, 72, 18, 71, 93, 56, 94, 31, 79, 32, 4, 6898 47)( 5,122, 13, 75,118, 61, 95,106, 89, 35,104, 37) 6899 ( 7, 24, 48, 53, 67, 16, 96, 83, 59, 44, 26, 77)( 9, 49, 28, 52, 17, 6900 21, 98, 58, 69, 41, 76, 82)( 10,124, 38, 55,117, 11,100,108, 64, 45, 6901 101, 87)( 12, 25,123, 63, 70,116, 86, 85,109, 39, 30,102) 6902 ( 14, 50,103, 62, 20,121, 88, 60,119, 36, 80,107)( 15,125,113, 65,120, 6903 111, 90,110,114, 40,105,112)( 19, 46, 78, 57), 6904 ( 1, 71, 6, 96, 16,121)( 2, 74, 10, 97, 19,125)( 3, 73, 8, 98, 18, 6905 123)( 4, 75, 7, 99, 20,122)( 5, 72, 9,100, 17,124)( 11, 46) 6906 ( 12, 49, 15, 47, 14, 50)( 13, 48)( 22, 24, 25)( 26, 61, 31, 86, 41, 6907 111)( 27, 64, 35, 87, 44,115)( 28, 63, 33, 88, 43,113) 6908 ( 29, 65, 32, 89, 45,112)( 30, 62, 34, 90, 42,114)( 37, 39, 40) 6909 ( 51, 56, 81, 91,116,101)( 52, 59, 85, 92,119,105)( 53, 58, 83, 93, 6910 118,103)( 54, 60, 82, 94,120,102)( 55, 57, 84, 95,117,104) 6911 ( 66,106, 76)( 67,109, 80)( 68,108, 78)( 69,110, 77)( 70,107, 79) ] ], 6912[36, Factorial(125)/2,1,"2",[[124,1]],123, "Alt(125)", ["A",125, 1], "Alt"], 6913[37, Factorial(125),0,"2",[[124, 1]],125, "Sym(125)", ["A",125, 1], "Sym"], 6914[ 38, 7500, 0, "1", [ [ 12, 2 ], [ 30, 2 ], [ 20, 2 ] ], 1, "5^3:Alt(5)", 6915 [ "Z", 5, 3 ], 6916 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^0, Z(5), 6917 Z(5)^3 ] ], 6918 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ Z(5)^3, Z(5)^2, 0*Z(5) ], 6919 [ Z(5)^0, 0*Z(5), Z(5)^2 ] ] ] ], 6920[ 39, 15000, 0, "1", [ [ 24, 1 ], [ 30, 2 ], [ 20, 2 ] ], 1, "5^3:Sym(5)", 6921 [ "Z", 5, 3 ], 6922 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ 0*Z(5), 6923 Z(5)^2, Z(5)^0 ] ], 6924 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^3, Z(5), Z(5)^0 ], 6925 [ Z(5)^0, 0*Z(5), 0*Z(5) ] ] ] ], 6926[ 40, 15000, 0, "1", [ [ 24, 1 ], [ 30, 2 ], [ 20, 2 ] ], 1, "5^3:Sym(5)", 6927 [ "Z", 5, 3 ], 6928 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ Z(5)^2, 6929 Z(5)^2, Z(5) ] ], 6930 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5), Z(5)^0, Z(5) ], 6931 [ 0*Z(5), 0*Z(5), Z(5)^3 ] ] ] ], 6932[ 41, 15000, 0, "1", [ [ 12, 2 ], [ 30, 2 ], [ 20, 2 ] ], 1, 6933 "5^3:(2 x Alt(5))", [ "Z", 5, 3 ], 6934 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6935 [ Z(5)^2, Z(5), Z(5) ] ], 6936 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6937 [ Z(5), Z(5)^2, Z(5) ] ] ] ], 6938[ 42, 30000, 0, "1", [ [ 24, 1 ], [ 30, 2 ], [ 20, 2 ] ], 1, 6939 "5^3:(2 x Sym(5))", [ "Z", 5, 3 ], 6940 [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ Z(5)^2, Z(5), 0*Z(5) ], 6941 [ Z(5)^0, Z(5)^3, Z(5)^3 ] ], 6942 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6943 [ Z(5)^2, Z(5), Z(5) ] ] ] ], 6944[ 43, 30000, 0, "1", [ [ 24, 1 ], [ 60, 1 ], [ 40, 1 ] ], 1, 6945 "5^3:(4 x Alt(5))", [ "Z", 5, 3 ], 6946 [ [ [ Z(5), 0*Z(5), 0*Z(5) ], [ 0*Z(5), Z(5), 0*Z(5) ], 6947 [ Z(5), 0*Z(5), Z(5)^3 ] ], 6948 [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6949 [ Z(5), Z(5)^3, Z(5)^2 ] ] ] ], 6950[ 44, 30000, 0, "1", [ [ 12, 2 ], [ 60, 1 ], [ 40, 1 ] ], 1, "5^3:(2:Sym(5))", 6951 [ "Z", 5, 3 ], 6952 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^2, 0*Z(5), 0*Z(5) ], [ Z(5)^3, 6953 Z(5)^0, Z(5) ] ], 6954 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6955 [ Z(5), Z(5), Z(5)^0 ] ] ] ], 6956[ 45, 60000, 0, "1", [ [ 24, 1 ], [ 60, 1 ], [ 40, 1 ] ], 1, 6957 "5^3:(4 x Sym(5))", [ "Z", 5, 3 ], 6958 [ [ [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ], 6959 [ Z(5)^2, Z(5)^2, Z(5)^2 ] ], 6960 [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), Z(5)^2, 0*Z(5) ], 6961 [ Z(5)^2, Z(5)^0, Z(5) ] ] ] ]]; 6962PRIMGRP[126]:= 6963[[ 1, 1814400, 1, "2", [ [ 100, 1 ], [ 25, 1 ] ], 1, "Alt(10)", 6964 [ "A", 10, 1 ], 6965 [ ( 1,104,108,106, 34, 63,113, 25, 73)( 2,115, 21,111,124,105, 27, 28, 8) 6966 ( 3, 77, 61,114, 13, 93, 12, 98, 87)( 4, 20, 57, 90, 33,123, 65, 39, 6967 64)( 5, 36,120, 92, 11, 42, 54, 47, 29)( 6, 80, 72, 48, 60, 89,121, 6968 125, 81)( 7, 16, 41, 76,103,110, 23, 50, 46)( 9, 22,122, 35, 67, 6969 44, 14,116, 45)( 10, 38, 85,102, 82, 37, 18, 95,107) 6970 ( 15, 69, 17, 59, 52,126, 91, 99, 26)( 19, 84, 62, 74, 49,109,112, 53, 6971 94)( 24, 55,101, 32, 79, 51,118, 43,119)( 30, 68, 96, 40, 86, 83, 88, 6972 70, 58)( 31, 71, 97, 56,100, 78, 75, 66,117), 6973 ( 1, 37, 65, 87, 66, 25, 91, 39, 68, 79)( 2, 76, 74, 40, 5) 6974 ( 3, 27, 82, 72, 95, 36, 81, 62, 47, 78)( 4,114, 57, 41, 58, 28, 44, 6975 14, 7, 15)( 6,102,122,108,107, 29,124, 10, 32,117)( 8,121,112, 60, 6976 116, 42, 75, 77,119, 88)( 9, 89, 55, 59, 64)( 11, 17, 12, 26, 22, 6977 43, 97, 19, 83,115)( 13, 30,120, 31, 20, 45, 90, 18, 21, 61) 6978 ( 16,105, 54, 49,106, 92, 24, 33, 73,118)( 23, 50, 69, 98, 51, 99, 84, 6979 35, 53, 52)( 34, 85, 48, 67, 70,100, 38, 86, 71,111)( 46, 93,113, 94, 6980 101)( 56, 80,103,104, 63)( 96,123,126,110,109) ] ], 6981[ 2, 3628800, 0, "2", [ [ 100, 1 ], [ 25, 1 ] ], 1, "Sym(10)", 6982 [ "A", 10, 1 ], 6983 [ ( 1, 2, 4, 6, 10, 16, 23, 33, 46, 62)( 3, 5, 8, 13, 19, 28, 40, 54, 6984 71, 85)( 7, 12, 18, 27, 38, 52, 67, 82, 32, 45)( 9, 15, 22, 31, 14, 6985 21, 30, 44, 59, 75)( 11, 17, 25, 35, 49)( 20, 29, 42, 56, 73, 81, 94, 6986 36, 50, 66)( 24, 34, 47, 64, 39, 53, 69, 48, 65, 80)( 26, 37, 51, 68, 6987 83, 96,108,116,120,123)( 41, 55, 72, 86, 99, 70, 84, 98,105,113) 6988 ( 43, 58, 74, 87, 95,107,115,119,122,125)( 57, 63, 79, 92,104) 6989 ( 60, 76, 88,101,112, 93,106,111,118, 89)( 61, 77, 90,102, 78, 91,103, 6990 114, 97,110)(109,117,121,124,126), 6991 ( 1, 3)( 4, 7)( 5, 9)( 6, 11)( 8, 14)( 13, 20)( 16, 24)( 17, 26) 6992 ( 22, 32)( 25, 36)( 27, 39)( 28, 41)( 29, 43)( 34, 48)( 42, 57) 6993 ( 44, 60)( 45, 61)( 46, 63)( 50, 67)( 53, 70)( 55, 64)( 62, 78) 6994 ( 65, 81)( 71, 84)( 76, 89)( 80, 93)( 82, 95)( 83, 97)( 86,100) 6995 ( 92,105)( 96,109)( 98,111)(101,113)(108,115)(114,119) ] ], 6996[ 3, 126000, 1, "2", [ [ 125, 1 ] ], 2, "PSU(3, 5)", [ "2A", [ 2, 5 ], 1 ], 6997 [ ( 1,117,115, 41, 89,120, 17, 88, 25, 16)( 2, 96, 63, 22, 55, 11, 14, 15, 6998 77, 39)( 3, 90, 10, 48, 27, 50,126, 75,111, 93)( 4, 94, 45, 36,109, 6999 122, 42, 53, 81, 84)( 5,105, 86,125, 28, 8, 18,102, 23, 64) 7000 ( 6, 70, 76, 31, 59, 74, 40, 51, 98, 12)( 7,123,101, 33, 66,110,114, 7001 37, 24, 85)( 9, 99, 61, 57,124,106, 44, 91, 19, 35)( 13, 67, 47, 30, 7002 32)( 20, 78,107, 69, 38, 26, 80, 49,118, 82)( 21,121, 71, 83, 62, 58, 7003 56, 65,113,103)( 34,112,119,104, 68, 87, 46, 97, 73, 52) 7004 ( 43,116, 95, 54, 79, 60, 72,100,108, 92), 7005 ( 1, 3, 61,120, 92, 99, 33, 11, 43, 82)( 2,119, 22, 16, 17, 28,112, 7006 25, 98, 7)( 4, 39, 9,125, 90,123, 46,122, 27, 68) 7007 ( 5, 13, 91, 93, 30,115, 36, 64,116, 26)( 6,104, 56, 38, 44, 75, 88, 7008 41, 53, 60)( 8,108,114, 55, 35, 73, 19,106, 97,107)( 10, 24, 14, 95, 7009 102, 76, 71,126, 54, 67)( 12,121, 50,103, 66, 29, 77, 65, 84, 58) 7010 ( 15, 87, 48, 45, 23, 94, 62, 49, 79, 72)( 18,118, 70, 96,111, 32, 85, 7011 31, 52,124)( 20, 59, 86,105, 81)( 21, 74, 89, 34, 57, 69, 51, 40,109, 7012 100)( 37,117, 78, 47,101, 63, 80,110,113, 42) ] ], 7013[ 4, 252000, 0, "2", [ [ 125, 1 ] ], 2, "PSigmaU(3, 5)", 7014 [ "2A", [ 2, 5 ], 1 ], 7015 [ ( 1, 95,108,100, 20, 96,126, 73)( 2,109, 71, 76,106, 12, 33, 86) 7016 ( 3, 82, 22, 31, 47, 28, 69, 80)( 4, 88, 63, 40, 38, 19,101,110) 7017 ( 5,120, 6, 87, 54, 60, 51, 59)( 7, 57, 52, 42,125, 68,115, 13) 7018 ( 8, 15, 41, 11, 90, 81, 85, 53)( 9, 39, 98, 26, 45,112, 27, 43) 7019 ( 14, 44, 32, 16,104, 30,119, 17)( 18,116,102, 35, 46, 89, 74,118) 7020 ( 21, 72,121, 77, 49,117, 58,124)( 23, 84,103, 48, 70, 34, 29, 25) 7021 ( 24, 55,114,111,113,105, 92, 66)( 36, 78, 79,123, 37, 93, 91, 61) 7022 ( 50, 62, 99, 94)( 56,122, 67, 83,107, 64, 75, 65), 7023 ( 1, 7, 2, 90, 95, 87)( 3,124, 34, 11,113, 55)( 4, 8, 91,111, 64, 7024 31)( 5, 66,120, 57, 19, 83)( 6, 65, 37, 46, 52,121) 7025 ( 9,100,125, 48,112,102)( 10, 88,104, 75, 81, 56)( 12, 89, 43) 7026 ( 13, 82,119, 92, 99,123)( 14, 60,110, 18,118, 15)( 16,107, 80, 59, 7027 39, 98)( 17, 63, 86, 58,108, 41)( 20, 50,103,117, 23, 21) 7028 ( 22, 35, 36, 93, 53, 33)( 24, 25, 96, 32, 49, 79)( 26, 71, 70, 76, 7029 106, 67)( 27, 68, 44, 74, 61, 40)( 28, 85, 42)( 29, 69,115,105, 72, 7030 47)( 30, 78,126, 38,122, 97)( 45, 51,101, 84, 73, 62) 7031 ( 54,109, 94, 77,114,116) ] ], 7032[ 5, 378000, 0, "2", [ [ 125, 1 ] ], 2, "PGU(3, 5)", [ "2A", [ 2, 5 ], 1 ], 7033 [ ( 1, 77, 86, 28,110, 78,123,106)( 2, 50, 83, 81,124, 58, 10, 11) 7034 ( 3, 51,109, 29, 19, 16, 75, 97)( 4, 61, 76, 89)( 5, 71, 23, 46, 7035 72, 14, 47, 7)( 6,119, 17, 22, 31, 32, 41, 63)( 8,125, 49, 36, 7036 27, 30, 33, 90)( 9,113, 12,105,117,115, 57, 42)( 13, 48, 35, 24, 7037 43,108,126,107)( 15, 40, 53, 38, 66, 20, 92,116)( 18, 91, 98, 87, 7038 96, 37, 79,104)( 21, 45, 44, 84, 59, 74, 95, 88)( 25,122,100,112, 7039 64,118, 55, 52)( 26, 67, 39,102, 73, 60, 56, 54)( 34,103, 68, 85, 7040 70, 62,120, 80)( 65,121, 93,114, 94, 99, 82,111), 7041 ( 1,123,102,111, 55, 23, 48, 61, 80, 74,105,109,120, 51,103) 7042 ( 2, 90, 9, 18,107, 81,122, 22,115,119, 82, 7, 10, 94, 78) 7043 ( 3, 42, 98, 54, 14, 40, 91, 93, 29,124, 72, 59, 20, 92, 76) 7044 ( 4, 62,126, 39,110)( 5, 77, 30, 69, 67, 38,117, 99, 85,108, 26, 46, 7045 37, 21, 89)( 8, 50, 44, 24, 52, 83, 73, 47, 88, 75, 19, 53, 71, 86, 7046 56)( 11, 95, 66, 63, 87, 31,104,118, 28, 25,113, 15, 58, 70,106) 7047 ( 12,101, 41, 49, 60,125, 65,112, 96,116, 33, 13, 68, 84,100) 7048 ( 16, 43, 17, 57,114, 79, 45,121, 36, 97, 32, 64, 34, 27, 35) ] ], 7049[ 6, 756000, 0, "2", [ [ 125, 1 ] ], 2, "PGammaU(3, 5)", 7050 [ "2A", [ 2, 5 ], 1 ], 7051 [ ( 1, 20, 47, 3,103,113,121, 64, 4, 88, 70, 25, 31, 27, 39, 19, 56, 28, 7052 80, 96, 35, 13, 61, 18)( 2, 57, 44, 63, 45,118,123, 87, 9, 81, 90, 7053 107,106, 48, 15, 8, 11,114, 24,122, 53, 67,117, 32)( 5, 91, 98,109, 7054 65, 41, 26, 69, 33,112, 51, 54, 10, 59, 58,110,104, 68,119,125, 74, 7055 42, 92, 99)( 6,108, 22, 83, 89, 79,124, 66, 85, 29, 97, 84, 38, 72, 7056 71, 12, 30, 95,100, 50, 46, 43, 78, 77)( 7,116, 94, 55, 34, 23, 86, 7057 49, 93,101, 40, 36,102, 75,111,115, 76, 82, 73, 60, 62,126, 14, 16) 7058 ( 17, 21, 37, 52), ( 1, 69,125, 96,126, 9)( 2, 3, 32, 46, 87, 73) 7059 ( 4, 15, 97,104, 64, 78)( 5,111,112,116, 24,118)( 6,103, 80, 23, 7060 102,109)( 7, 35, 50, 60, 48, 53)( 8, 68, 62, 38, 86, 17) 7061 ( 10, 75, 99, 41,117, 92)( 11, 37,113,114, 82, 58)( 12, 49,107, 29, 7062 28, 39)( 13, 91, 57,105, 30,110)( 14, 98, 21, 61, 45,106) 7063 ( 16,124, 84)( 18, 44, 90, 65, 33, 20)( 19, 85, 27, 76, 93, 47) 7064 ( 22,121, 54,100, 26, 40)( 25, 94, 83, 55, 77, 36)( 31, 59, 43, 70, 7065 120, 81)( 34,101, 52, 72,108, 63)( 42, 66,115, 56,122,119) 7066 ( 51,123, 88, 74, 95, 89)( 67, 71, 79) ] ], 7067[ 7, 3265920, 1, "2", [ [ 45, 1 ], [ 80, 1 ] ], 1, "PSU(4, 3)", 7068 [ "2A", [ 3, 3 ], 1 ], 7069 [ ( 1, 99, 20, 18, 86)( 2, 79,122,111, 30)( 3, 89,114, 11,124) 7070 ( 4, 6, 35, 52, 78)( 5, 85, 46,104, 9)( 7, 23,121, 82, 34) 7071 ( 8, 33, 37, 40,101)( 10, 24, 67, 17,116)( 12,115, 36, 39,123) 7072 ( 13,126, 56, 90, 48)( 14, 27, 58, 96, 49)( 15, 73, 19, 31, 66) 7073 ( 16, 45, 68,112, 59)( 21,100,107, 98, 70)( 22, 60, 88, 50, 64) 7074 ( 25,103,120, 71, 80)( 26, 92, 51, 91, 53)( 28,102,110, 32, 69) 7075 ( 29, 43, 63, 77, 81)( 38, 47, 65,119, 74)( 41,118, 44, 76, 61) 7076 ( 54, 93, 62, 75, 83)( 55, 95,125,117, 94)( 57, 97,113,108, 84) 7077 ( 72,109,106, 87,105), 7078 ( 1, 29, 38, 80, 46,118, 87)( 2,110, 75, 8,123, 44, 63) 7079 ( 3,121, 22, 21, 20, 32, 4)( 5, 36, 45, 81, 67, 10, 33) 7080 ( 6, 58, 78, 30, 99, 77, 34)( 7,111, 65,112, 73, 62, 98) 7081 ( 9, 40, 94, 16, 86, 26, 19)( 11, 59,122, 56, 24,100, 53) 7082 ( 12, 72, 39, 27,126, 93,117)( 13, 41,113,115,120, 14, 17) 7083 ( 15,109,105, 70,106, 61, 55)( 18,124,108,125,104, 82, 48) 7084 ( 23, 49, 25, 52, 51, 54, 37)( 28, 31, 95, 96, 74,114, 60) 7085 ( 35,102, 89, 68, 47, 57, 79)( 42,101, 64,103, 91, 84, 76) 7086 ( 43, 69, 85, 83, 88,116, 90)( 50, 71, 66,119, 97, 92,107) ] ], 7087[ 8, 6531840, 0, "2", [ [ 45, 1 ], [ 80, 1 ] ], 1, "PSU(4, 3).2", 7088 [ "2A", [ 3, 3 ], 1 ], 7089 [ ( 1, 79, 42, 13, 36,111, 7, 44,113,106, 77, 17, 96,112, 5, 8, 73, 95) 7090 ( 2, 78, 84, 33, 54, 55, 53, 32, 62, 23,115, 99, 30, 56, 86,119,105, 7091 126)( 3, 12, 50,118, 81, 18, 39, 27, 48)( 4, 25, 70, 15,110, 72, 7092 74, 88, 40,109, 66, 52,100, 59, 98,124,122, 64)( 6, 71, 68, 31, 43, 7093 123, 91, 61,114, 80, 97, 35,125,101, 57, 47,117, 38)( 9,102, 16) 7094 ( 10,120, 69, 20,107,121, 22, 26, 83)( 11,103, 14, 67, 46,108,116, 24, 7095 63)( 19, 82,104, 93, 29, 34, 41, 51, 89)( 21, 92, 87) 7096 ( 28, 76, 58, 94, 45, 90)( 37, 85)( 49, 75, 60), 7097 ( 1, 58, 10, 59, 91,108)( 2, 43,120, 77,109, 82)( 3, 44, 24, 92, 73, 7098 16)( 4,107, 79,101, 81, 23)( 5, 20, 89,111, 9, 11) 7099 ( 6, 31, 13, 52, 64, 74)( 7, 29, 25,113, 18, 84)( 8, 12, 99, 95, 7100 50, 66)( 14, 71, 34, 75, 97, 69)( 15, 54,118, 36,114, 46) 7101 ( 17, 22, 72, 30, 39, 76)( 19, 93,122, 67, 83, 88)( 21, 45, 33,104, 7102 98, 42)( 26, 65, 48)( 27, 49, 51)( 28, 68, 96,115, 85,124) 7103 ( 32, 86,103, 57, 61, 63)( 35,119, 80, 37,126, 70)( 38,102,112, 56, 7104 121,100)( 40, 62, 78,125, 53, 94)( 41,123, 55, 60,105,117) 7105 ( 47,116,110, 90, 87,106) ] ], 7106[ 9, 6531840, 0, "2", [ [ 45, 1 ], [ 80, 1 ] ], 1, "PSU(4, 3).2", 7107 [ "2A", [ 3, 3 ], 1 ], 7108 [ ( 1, 72, 40, 79,107, 67, 89, 60, 86,126, 8, 47)( 2, 68, 75, 27, 77, 73, 7109 55, 49, 34, 13,117, 52)( 3, 43, 41, 31, 53, 81,123, 16,114, 23, 61, 7110 112)( 4,101, 94, 21, 58, 26, 54, 12, 14, 91, 95, 99) 7111 ( 5,125, 65,119,122, 93, 82, 64,121, 62, 63, 9)( 6,113, 87, 17, 35, 7112 56, 97, 15, 96, 66,116, 45)( 7, 11, 84, 36, 38, 33, 19, 98, 46, 92, 7113 24,118)( 10, 29,105, 85, 59,111,108, 88, 90, 74,109, 22) 7114 ( 18,124, 70, 37, 39, 51)( 20, 83, 28, 78)( 25, 42)( 30, 76,106, 69, 7115 104,100, 48,110, 50,115, 57, 32)( 44,102)( 71,103,120), 7116 ( 1, 93, 98)( 2, 28, 40, 71, 68, 6)( 3, 10, 95, 79, 91, 52) 7117 ( 4, 92, 9, 42, 73, 8)( 5,112, 99)( 7,119,100,115,104, 27) 7118 ( 11, 94, 69,110,108, 64)( 12, 31, 85, 41, 37,124)( 13, 46, 89, 47, 7119 109, 25)( 14, 30, 70, 32, 43, 81)( 15,101, 17, 77,102, 50) 7120 ( 16, 62,125, 24, 61,126)( 18, 58, 76, 33, 53, 26)( 19,107, 21, 22, 7121 82, 67)( 20, 66, 78,113, 45,120)( 23,103, 80, 83,114,116) 7122 ( 29, 55,117, 63, 74, 86)( 34, 56, 49, 35, 60, 97)( 36,123, 84, 57, 7123 111, 65)( 38, 54, 59)( 39, 87,105, 96, 90, 44)( 48,121,118) 7124 ( 51,122, 88, 75,106, 72) ] ], 7125[ 10, 6531840, 0, "2", [ [ 45, 1 ], [ 80, 1 ] ], 1, "PSU(4, 3).2", 7126 [ "2A", [ 3, 3 ], 1 ], 7127 [ ( 1, 10, 38,109,115, 90, 31)( 2,101, 74, 65, 98, 13, 33) 7128 ( 3, 39, 59, 70, 60, 5, 27)( 4, 91, 11,116, 14, 57, 92) 7129 ( 6,110, 40,100, 47, 25, 37)( 7, 75, 24, 16, 97, 61,106) 7130 ( 8,111,105, 56,123, 71, 21)( 9, 20, 54, 51, 29, 32, 50) 7131 ( 12,121, 80, 89, 66,107, 63)( 15, 35, 55, 53, 67, 41, 79) 7132 ( 17, 18,117,122, 28, 78, 52)( 19, 96,103, 42,114, 46, 43) 7133 ( 22, 48,113, 58, 82, 94, 68)( 23,102, 49, 30, 73,112, 77) 7134 ( 26,126, 87, 86, 69, 45, 76)( 34,108, 85, 81,104,124, 72) 7135 ( 36, 83,125, 99, 84, 88,120)( 44, 93,118,119, 62, 95, 64), 7136 ( 1, 18, 46, 90, 61, 70, 7,105)( 2, 93,123, 4, 59, 66,110, 47) 7137 ( 3,104, 55,121, 76, 31,109, 6)( 5,115, 72, 10, 35, 8, 30, 75) 7138 ( 9, 86, 67, 27, 17, 91, 54, 88)( 11, 58, 98, 50, 28,106, 20, 95) 7139 ( 12, 44, 83, 68,100, 39, 38, 49)( 13, 97, 40, 23, 29, 65, 21, 57) 7140 ( 14,108,113, 69, 81, 34, 62,107)( 15, 26, 94, 74,119, 41,112, 52) 7141 ( 16, 36, 43, 92,126,118, 79, 33)( 19,111, 53, 51, 84, 22, 89, 37) 7142 ( 24, 77, 32,124, 78,117,101,102)( 25, 80,120, 42)( 45,122, 87, 63) 7143 ( 48, 73,116,114, 60, 85, 82, 99)( 56,125, 96, 64) ] ], 7144[ 11, 13063680, 0, "2", [ [ 45, 1 ], [ 80, 1 ] ], 1, "PSU(4, 3).2^2", 7145 [ "2A", [ 3, 3 ], 1 ], 7146 [ ( 1, 69, 23, 68, 86, 90, 75, 47,100, 59)( 2, 89, 88,119, 44, 91, 22, 40, 7147 5, 78)( 3, 61,114, 48, 24, 29,105, 74, 14, 39)( 4, 32,115, 18, 10, 7148 57,117, 73, 19,107)( 6, 49, 76, 53, 55, 17, 12, 13,111,110) 7149 ( 7,109,121, 77,108, 37,123, 9,101, 41)( 8, 51, 21, 15,124, 85, 46, 7150 27, 35, 38)( 11, 98, 87,126, 36)( 16,118, 28, 20, 56) 7151 ( 25, 95, 33, 63, 71)( 26, 84, 99, 81,102, 34, 70, 52, 60, 83) 7152 ( 30, 94, 54, 97, 82)( 31, 62,104,116,112)( 42, 79, 45,106,122, 80, 7153 43, 96, 58, 64)( 50, 92,125,103,120)( 65,113, 67, 93, 66), 7154 ( 1, 32,100, 93, 27, 86, 96, 31, 53, 75, 38, 28, 29,117) 7155 ( 2,108, 54, 13, 68,105, 36, 82, 71, 25, 79, 3, 17, 66) 7156 ( 4, 10, 47, 85, 60, 43, 98, 12, 73,104, 61,110,119, 14) 7157 ( 5, 72, 18, 91, 64,102,114, 70, 41, 19, 20, 8, 94, 50) 7158 ( 6, 77, 92,101, 76,121, 49,122, 37, 63, 42, 84,115, 78) 7159 ( 7, 52,103, 51, 90, 89, 97, 99, 80, 23, 87, 30,120, 48) 7160 ( 9, 65, 26, 16, 88, 40,118,109,116, 44, 22,111, 45, 46) 7161 ( 11,113,106,123, 35, 57,125,124, 21, 33,107, 24, 34, 58) 7162 ( 15, 83, 69, 67, 55, 62,112, 81, 95, 59, 74, 39, 56,126) ] ], 7163[ 12, 181440, 1, "2", [ [ 5, 1 ], [ 60, 1 ], [ 40, 1 ], [ 20, 1 ] ], 1, 7164 "Alt(9)", [ "A", 9, 1 ], 7165 [ ( 2, 41, 42)( 3, 51,106)( 4,120, 24)( 5,121, 29)( 6,113, 57) 7166 ( 7,125, 72)( 9, 16, 15)( 10,124, 23)( 11, 36, 95)( 13, 21, 88) 7167 ( 14, 56,103)( 18, 25, 80)( 19, 28, 94)( 20, 46, 52)( 22, 55,116) 7168 ( 26, 39, 58)( 27, 75,100)( 31, 63, 37)( 33, 40,107)( 34, 47,117) 7169 ( 35, 90, 81)( 38, 60, 65)( 43, 45, 91)( 44, 84, 86)( 48, 62, 53) 7170 ( 54, 76, 71)( 59, 77, 83)( 68, 79, 92)( 74, 97, 87)( 82,115,101) 7171 ( 89,102,122)( 93, 98,111)( 96,108, 99)(104,105,112)(119,126,123), 7172 ( 1,116,106, 20, 90, 86, 88, 83, 85, 65)( 2,101,107, 51, 34,105, 19, 7173 56, 43, 21)( 3, 13,112,115,103)( 4, 80, 54, 26, 93,119, 74, 31, 7174 35,121)( 5, 36, 37, 79, 17, 57, 94, 53, 61, 27)( 6, 82, 48, 67, 7175 100, 98, 95, 76, 68, 64)( 7,104,124, 8,102, 14, 96, 24, 16, 87) 7176 ( 9, 18,125, 41, 23,118,122, 33,108,126)( 10, 50, 69, 38,109,110, 89, 7177 62, 49,113)( 11, 72, 59, 12, 73,114, 70, 66, 22, 99)( 25, 63, 39, 29, 7178 123)( 28, 40, 45, 47, 42)( 30, 55, 91, 46, 58, 44,117, 77, 32, 60) 7179 ( 52, 92, 78, 75, 84)( 71, 81,111,120, 97) ] ], 7180[ 13, 362880, 0, "2", [ [ 5, 1 ], [ 60, 1 ], [ 40, 1 ], [ 20, 1 ] ], 1, 7181 "Sym(9)", [ "A", 9, 1 ], 7182 [ ( 1, 2, 4, 7, 11, 17, 25, 35, 48)( 3, 6, 10, 15, 22, 32, 45, 60, 76) 7183 ( 5, 9, 14, 20, 30, 42, 56, 71, 86)( 8, 13, 19, 29, 40, 54, 68, 84, 7184 99)( 12, 18, 27, 37, 51, 65, 82, 96,110)( 16, 24, 34, 28, 39, 53, 67, 7185 83, 98)( 21, 31, 44, 58, 74, 81, 95,109,118)( 23, 33, 46, 61, 77, 90, 7186 97,111,119)( 26, 36, 49, 50, 64, 80, 93,107,101)( 38, 52, 66, 73, 88, 7187 102,113,117,122)( 41, 55, 69, 59, 75, 89,104,116,114) 7188 ( 43, 57, 72, 87,100, 94,108, 70, 85)( 47, 63, 79, 92,106,112,120,124, 7189 126)( 62, 78, 91,105,103,115,121,123,125), 7190 ( 1, 3)( 2, 5)( 4, 8)( 7, 12)( 10, 16)( 14, 21)( 15, 23)( 17, 26) 7191 ( 18, 28)( 27, 38)( 29, 41)( 30, 43)( 31, 32)( 33, 47)( 36, 50) 7192 ( 44, 59)( 46, 62)( 48, 52)( 55, 70)( 57, 73)( 64, 81)( 65, 75) 7193 ( 68, 78)( 71, 85)( 80, 94)( 82, 97)( 83, 84)( 87,101)( 88,103) 7194 ( 93,104)( 96,109)( 98,112)(102,114)(107,117)(118,123) ] ], 7195[ 14, 976500, 1, "2", [ [ 125, 1 ] ], 2, "PSL(2, 5^3)", 7196 [ "L", [ 2, 125 ], 1 ], 7197 [ ( 1, 11, 36, 90, 55, 69,104, 58, 18, 5,112, 67, 41, 16, 50, 28, 75, 31, 7198 102, 22, 53, 15, 19, 98, 27, 32,126,122, 24, 99, 21)( 2, 56, 81, 91, 7199 71,119, 68, 96, 92, 60, 65,120, 73, 77, 39, 70,116, 61, 17, 64, 42, 7200 76, 51, 25,106, 87, 74, 34,114, 23, 37)( 3, 35, 4, 13,118, 33,125, 7201 63, 49, 8, 47, 45, 84, 43, 29, 93, 59,100, 79, 88, 57, 89, 95, 52, 7202 108,121, 46, 97,110, 40,123)( 6,117, 12, 72, 44, 94, 83,109, 9,124, 7203 48, 20, 80,101, 86,115,107, 54, 66, 85, 62, 10, 78, 14, 82, 30, 7, 7204 26, 38,111,103), ( 1,116, 62, 61, 24,123,115, 95, 15, 56, 68, 58, 7205 34, 98, 99, 87, 27,124, 33, 67,103, 20, 23, 50, 46,100, 26,112,120, 7206 7,101)( 2, 96,109,117, 77, 3, 57, 53, 80, 83,126, 36, 70,105, 76, 7207 16, 4, 5, 69, 45, 35, 47, 88, 8,114,106, 79, 42, 41,113,102) 7208 ( 6, 66, 19, 25, 54, 13,121, 64, 55, 12, 86, 51, 93, 44, 60, 18, 71, 7209 65,104, 74,122, 11, 73, 40,111, 89,119, 75, 82, 31, 81) 7210 ( 10, 52, 17, 91, 48, 39,108, 90, 49, 78, 84, 37, 97, 22, 72, 21, 28, 7211 110, 14,118, 63, 30, 92,107, 29,125, 38, 32, 85, 43, 59) ] ], 7212[ 15, 1953000, 0, "2", [ [ 125, 1 ] ], 3, "PGL(2, 5^3)", 7213 [ "L", [ 2, 125 ], 1 ], 7214 [ ( 1,115, 83, 35, 32, 71, 44, 40, 19, 81,106, 52, 97, 20,112,119, 85, 8, 7215 53,125, 24, 86, 65, 61, 34, 73, 70, 22,116,104,109,117, 62, 33, 63, 7216 55, 92, 74, 59, 18,120, 27, 25, 79, 23,113, 91, 5, 49, 9, 41, 3, 7217 30, 17, 99, 4, 47, 12, 67,108,124, 36, 57,126, 11, 76, 77,103, 60, 7218 7, 66, 95,110, 90, 89, 37, 21, 84, 68, 16, 15,121, 10, 39, 98, 45, 7219 2, 28, 29, 94,105, 48, 69,107,123, 38, 93, 58,101, 6, 88, 75,102, 7220 64, 96, 56,100, 14,118, 82, 26, 80, 78,111, 87, 46, 31, 13, 50, 42, 7221 72, 43,114,122), ( 1, 96, 6,102, 57, 87, 90, 41, 53, 35, 40,120, 7222 92, 38, 94, 86, 93, 42,103, 31, 4, 54, 64, 73, 59, 11, 50,121,109, 7223 52, 85, 2, 8, 99, 61,112, 70, 72,107,106,110, 89)( 3,116, 80, 18, 7224 122, 83, 43, 75, 22,104, 48, 19, 56, 37, 28, 68, 5, 98,119, 45,105, 7225 95, 24, 14, 74,126, 21,114, 51, 91, 82, 63,100, 71, 15, 97, 44, 76, 7226 36,123,101, 39)( 7, 58, 20,111,117, 34, 67, 10,124, 69,108, 60, 46, 7227 55, 65,115, 88, 16, 77, 26, 33, 25, 81, 27,125, 79, 84, 66, 78, 29, 7228 32, 62, 17,113, 23,118, 30, 9, 13, 12, 47, 49) ] ], 7229[ 16, 2929500, 0, "2", [ [ 125, 1 ] ], 2, "PSigmaL(2, 5^3)", 7230 [ "L", [ 2, 125 ], 1 ], 7231 [ ( 1, 94, 86, 38,107, 65, 87, 67, 5)( 2, 93, 24,105, 11, 17, 43, 34, 72) 7232 ( 3, 98, 19, 51, 4, 33, 69, 76, 63)( 6, 58, 21, 7,124,111, 49,103, 7233 53)( 8, 68,125,106,104,112, 81, 73,115)( 9, 71, 18, 35, 16, 22, 31, 7234 123,101)( 10, 41, 46, 78, 45, 39, 42, 88,117)( 12, 44, 29, 60,126, 7235 52,120, 30, 96)( 13, 80, 23, 89,114, 48,110,119, 37) 7236 ( 14,113, 83, 56, 59, 55, 57, 91,108)( 15, 66, 50, 40, 47, 79, 26,118, 7237 100)( 20,109, 85, 84, 70,121, 61, 75,116)( 25, 97,122, 62, 36, 82, 7238 102, 90, 95)( 27, 74, 54, 92, 77, 32, 99, 64, 28), 7239 ( 1, 92, 99,119, 4, 73, 64, 53,109, 97, 77,104, 31, 18, 41) 7240 ( 2,102,118, 42, 16, 74, 39, 44,111,101, 43, 5,100,105, 21) 7241 ( 3, 66, 90, 82,112, 23, 36, 88, 49, 87, 68, 7, 65, 34, 60) 7242 ( 6,125, 96, 94, 72,106,115, 19, 37, 83, 75,124, 85, 69, 27) 7243 ( 8, 61, 32, 22, 29, 78, 63, 50,110, 86, 12, 76, 51, 59, 56) 7244 ( 10, 28, 17, 93, 46,113, 58, 30, 47, 81,120, 80,122, 55, 25) 7245 ( 11,121, 84, 95, 54)( 13,114, 67, 33, 98, 91, 70,116, 14, 26, 89, 52, 7246 123, 24,126)( 15,107, 40, 79, 38, 35, 57, 48, 71,108,117, 45, 62, 20, 7247 103) ] ], 7248[ 17, 5859000, 0, "2", [ [ 125, 1 ] ], 3, "PGammaL(2, 5^3)", 7249 [ "L", [ 2, 125 ], 1 ], 7250 [ ( 1, 39, 3, 96, 63, 27, 65, 59, 56, 38, 94, 37, 9, 32, 89,107,124,104, 7251 17, 76,126,110, 25, 13, 92,108, 11, 43, 83, 73, 60,125,111,114, 72, 7252 19, 62,115, 69, 80, 12, 97, 26, 93,105, 15, 61, 18, 24, 22,121,106, 7253 102, 36, 31, 64,101, 75, 58,122, 74, 50,113, 14, 45, 20, 33, 46, 21, 7254 52, 79, 16,118, 70, 8,117, 91, 2, 35, 30, 90, 86, 71, 44, 42, 48, 7255 5, 51, 87, 99, 40, 95, 54,112,123, 77, 4, 47,120, 78, 81, 67, 6, 7256 119,109, 23, 55, 84,100, 53, 41, 82, 66,116, 49, 88, 68, 85,103, 34, 7257 57, 29, 98, 28, 10, 7), 7258 ( 1,126, 14, 58, 49, 17, 8, 36, 15, 3, 30,114, 75, 70, 53) 7259 ( 2, 38, 24,125, 26, 78, 84, 63, 18, 77,121, 91, 98,111,124) 7260 ( 4,117, 69,103, 43,118,101,115, 48,104,110, 88, 65, 60, 82) 7261 ( 5, 44, 28,102, 9, 42, 81, 33, 25, 86, 71,105, 99, 89, 56) 7262 ( 6, 66, 51, 73, 83, 11,108, 95, 57, 64, 79, 46, 21, 22, 50) 7263 ( 7, 94, 34,123,120,119, 55, 27,116, 92,100, 20, 80, 40, 41) 7264 ( 10, 39, 68, 45, 23, 72,112, 35, 61, 97, 52,107, 54, 96, 67) 7265 ( 12, 31,122, 87,106)( 13,113,109, 93, 19, 74, 76, 32, 29, 90, 37, 47, 7266 62, 16, 85) ] ], 7267[18, Factorial(126)/2,1,"2",[[125,1]],124, "Alt(126)", ["A",126, 1], "Alt"], 7268[19, Factorial(126),0,"2",[[125, 1]],126, "Sym(126)", ["A",126, 1], "Sym"]]; 7269PRIMGRP[127]:= 7270[[ 1, 127, 3, "1", [ [ 1, 126 ] ], 1, "C(127)", [ "Z", 127, 1 ], [ ] ], 7271[ 2, 254, 2, "1", [ [ 2, 63 ] ], 1, "D(2*127)", [ "Z", 127, 1 ], 7272 [ [ [ Z(127)^63 ] ] ] ], 7273[ 3, 381, 2, "1", [ [ 3, 42 ] ], 1, "127:3", [ "Z", 127, 1 ], 7274 [ [ [ Z(127)^42 ] ] ] ], 7275[ 4, 762, 2, "1", [ [ 6, 21 ] ], 1, "127:6", [ "Z", 127, 1 ], 7276 [ [ [ Z(127)^21 ] ] ] ], 7277[ 5, 889, 2, "1", [ [ 7, 18 ] ], 1, "127:7", [ "Z", 127, 1 ], 7278 [ [ [ Z(127)^18 ] ] ] ], 7279[ 6, 1143, 2, "1", [ [ 9, 14 ] ], 1, "127:9", [ "Z", 127, 1 ], 7280 [ [ [ Z(127)^14 ] ] ] ], 7281[ 7, 1778, 2, "1", [ [ 14, 9 ] ], 1, "127:14", [ "Z", 127, 1 ], 7282 [ [ [ Z(127)^9 ] ] ] ], 7283[ 8, 2286, 2, "1", [ [ 18, 7 ] ], 1, "127:18", [ "Z", 127, 1 ], 7284 [ [ [ Z(127)^7 ] ] ] ], 7285[ 9, 2667, 2, "1", [ [ 21, 6 ] ], 1, "127:21", [ "Z", 127, 1 ], 7286 [ [ [ Z(127)^6 ] ] ] ], 7287[ 10, 5334, 2, "1", [ [ 42, 3 ] ], 1, "127:42", [ "Z", 127, 1 ], 7288 [ [ [ Z(127)^3 ] ] ] ], 7289[ 11, 8001, 2, "1", [ [ 63, 2 ] ], 1, "127:63", [ "Z", 127, 1 ], 7290 [ [ [ Z(127)^2 ] ] ] ], 7291[ 12, 16002, 2, "1", [ [ 126, 1 ] ], 2, "AGL(1, 127)", [ "Z", 127, 1 ], 7292 [ [ [ Z(127) ] ] ] ], 7293[ 13, 163849992929280, 1, "2", [ [ 126, 1 ] ], 2, "L(7, 2)", 7294 [ "L", [ 7, 2 ], 1 ], 7295 [ ( 1, 8)( 14,127)( 15, 57)( 20, 55)( 22, 91)( 26,125)( 27,107)( 28,112) 7296 ( 29, 68)( 32, 64)( 36, 88)( 38,108)( 39, 48)( 42, 53)( 43, 77) 7297 ( 44,116)( 46, 96)( 51,124)( 52, 85)( 54, 95)( 62,126)( 63, 90) 7298 ( 71,109)( 74, 87)( 75, 80)( 78,118)( 82,104)( 83,120)( 86,103) 7299 ( 98,113)(101,105)(122,123), 7300 ( 1, 7, 6, 5, 4, 3, 2)( 8,127, 13, 12, 11, 10, 9) 7301 ( 14,126, 61, 60, 59, 58, 57)( 15, 56, 55, 19, 18, 17, 16) 7302 ( 20, 54, 94, 93, 92, 91, 21)( 22, 90, 62,125, 25, 24, 23) 7303 ( 26,124, 50, 49, 48, 38,107)( 27,106,105,100, 99, 98,112) 7304 ( 28,111,110,109, 70, 69, 68)( 29, 67, 66, 65, 64, 31, 30) 7305 ( 32, 63, 89, 88, 35, 34, 33)( 36, 87, 73, 72, 71,108, 37) 7306 ( 39, 47, 46, 95, 53, 41, 40)( 42, 52, 84, 83,119,118, 77) 7307 ( 43, 76, 75, 79, 78,117,116)( 44,115,114,113, 97, 96, 45) 7308 ( 51,123,121,120, 82,103, 85)( 74, 86,102,101,104, 81, 80) ] ], 7309[14, Factorial(127)/2,1,"2",[[126,1]],125, "Alt(127)", ["A",127, 1], "Alt"], 7310[15, Factorial(127),0,"2",[[126, 1]],127, "Sym(127)", ["A",127, 1], "Sym"]]; 7311PRIMGRP[128]:= 7312[[ 1, 16256, 2, "1", [ [ 127, 1 ] ], 2, "AGL(1, 2^7)", [ "Z", 2, 7 ], 7313 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7314 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 7315 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7316 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7317 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 7318 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 7319 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 7320 [ [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7321 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7322 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 7323 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 7324 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2) ], 7325 [ Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 7326 [ 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 7327[ 2, 113792, 2, "1", [ [ 127, 1 ] ], 2, "AGammaL(1, 2^7)", [ "Z", 2, 7 ], 7328 [ [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7329 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7330 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7331 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7332 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 7333 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 7334 [ Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2) ] ], 7335 [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7336 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 7337 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 7338 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 7339 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2) ], 7340 [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0 ], 7341 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0 ] ] ] ], 7342[ 3, 20972799094947840, 0, "1", [ [ 127, 1 ] ], 3, "AGL(7, 2)", 7343 [ "Z", 2, 7 ], 7344 [ [ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7345 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7346 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7347 [ Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7348 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ], 7349 [ 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0, Z(2)^0 ], 7350 [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ] ], 7351 [ [ Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ], 7352 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2) ], 7353 [ 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], 7354 [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, 0*Z(2) ], 7355 [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), Z(2)^0 ], 7356 [ Z(2)^0, 0*Z(2), 0*Z(2), Z(2)^0, Z(2)^0, Z(2)^0, 0*Z(2) ], 7357 [ 0*Z(2), Z(2)^0, Z(2)^0, 0*Z(2), 0*Z(2), 0*Z(2), Z(2)^0 ] ] ] ], 7358[ 4, 1024128, 1, "2", [ [ 127, 1 ] ], 2, "PSL(2, 127)", 7359 [ "L", [ 2, 127 ], 1 ], 7360 [ ( 3, 36, 37, 50,122, 21, 52, 11, 40,109, 26, 6,121,126,119, 33, 61, 57, 7361 29, 96, 24, 27, 71, 80, 45, 49, 44, 67, 48, 99, 41, 77,127, 85, 16, 7362 106, 66,103, 14, 63, 8,112,111, 93, 56, 58,118, 42, 72, 69, 15,113, 7363 17, 7, 55, 43, 78, 97, 31,108, 92, 47, 30)( 4, 54, 90, 32, 83, 64, 7364 87, 82, 86, 51, 60,104,107, 35,102, 74, 70, 98, 12, 5, 10,125,105, 7365 22, 91,120, 79,110, 9, 81, 94, 95,128,101, 84, 39, 23,100, 34, 53, 7366 88, 76,124,114, 18,116, 62, 59, 89, 13, 73, 75, 38, 20, 19,123, 68, 7367 117, 28, 65, 25,115, 46), ( 1, 83, 2)( 3, 73, 81)( 4, 59,127) 7368 ( 5, 34, 71)( 6,108, 57)( 7, 22, 32)( 8,121,106)( 9, 47, 20) 7369 ( 10,116,119)( 11, 78, 45)( 12, 29,114)( 13, 17, 76)( 14, 48, 27) 7370 ( 16, 62, 46)( 18, 49, 60)( 19, 26, 74)( 21, 30, 24)( 23, 72, 28) 7371 ( 25, 50, 70)( 31,113,112)( 33, 41,111)( 35, 77, 39)( 36,103, 69) 7372 ( 37, 79, 75)( 38, 97,101)( 40, 88, 95)( 42, 91, 86)( 43, 80,109) 7373 ( 44, 64, 89)( 51,120, 58)( 52, 98, 68)( 53,117,118)( 54, 65, 96) 7374 ( 55,110,115)( 56,122, 63)( 61,124,125)( 66,100, 87)( 67,105, 94) 7375 ( 82, 92,107)( 84, 93, 90)( 85,102,128)(104,123,126) ] ], 7376[ 5, 2048256, 0, "2", [ [ 127, 1 ] ], 3, "PGL(2, 127)", 7377 [ "L", [ 2, 127 ], 1 ], 7378 [ ( 3, 9, 36, 81, 37, 94, 50, 95,122,128, 21,101, 52, 84, 11, 39, 40, 23, 7379 109,100, 26, 34, 6, 53,121, 88,126, 76,119,124, 33,114, 61, 18, 57, 7380 116, 29, 62, 96, 59, 24, 89, 27, 13, 71, 73, 80, 75, 45, 38, 49, 20, 7381 44, 19, 67,123, 48, 68, 99,117, 41, 28, 77, 65,127, 25, 85,115, 16, 7382 46,106, 4, 66, 54,103, 90, 14, 32, 63, 83, 8, 64,112, 87,111, 82, 7383 93, 86, 56, 51, 58, 60,118,104, 42,107, 72, 35, 69,102, 15, 74,113, 7384 70, 17, 98, 7, 12, 55, 5, 43, 10, 78,125, 97,105, 31, 22,108, 91, 7385 92,120, 47, 79, 30,110), ( 1, 83, 2)( 3, 73, 81)( 4, 59,127) 7386 ( 5, 34, 71)( 6,108, 57)( 7, 22, 32)( 8,121,106)( 9, 47, 20) 7387 ( 10,116,119)( 11, 78, 45)( 12, 29,114)( 13, 17, 76)( 14, 48, 27) 7388 ( 16, 62, 46)( 18, 49, 60)( 19, 26, 74)( 21, 30, 24)( 23, 72, 28) 7389 ( 25, 50, 70)( 31,113,112)( 33, 41,111)( 35, 77, 39)( 36,103, 69) 7390 ( 37, 79, 75)( 38, 97,101)( 40, 88, 95)( 42, 91, 86)( 43, 80,109) 7391 ( 44, 64, 89)( 51,120, 58)( 52, 98, 68)( 53,117,118)( 54, 65, 96) 7392 ( 55,110,115)( 56,122, 63)( 61,124,125)( 66,100, 87)( 67,105, 94) 7393 ( 82, 92,107)( 84, 93, 90)( 85,102,128)(104,123,126) ] ], 7394[6, Factorial(128)/2,1,"2",[[127,1]],126, "Alt(128)", ["A",128, 1], "Alt"], 7395[7, Factorial(128),0,"2",[[127, 1]],128, "Sym(128)", ["A",128, 1], "Sym"]]; 7396PRIMGRP[129]:= 7397[[ 1, 2097024, 1, "2", [ [ 128, 1 ] ], 3, "PSL(2, 2^7)", 7398 [ "L", [ 2, 128 ], 1 ], 7399 [ ( 3,105, 48,123, 46,102, 65, 68, 61, 59, 51, 76, 20, 96,113, 95, 78,121, 7400 62, 80,109, 60,101, 16, 35,126, 90, 21, 98, 82,103, 55, 15,122,127, 7401 8, 44, 92, 14,128, 39, 69,108, 43, 17,107, 74, 7, 18, 75, 66, 57, 7402 114,125, 58, 25,115, 89, 24, 63, 93, 4,118, 40, 88,124, 5, 10,117, 7403 77, 29, 50, 34,111, 42, 6, 97,116, 31, 72, 23, 52, 70, 11, 54, 37, 7404 19, 36,112, 56, 81, 73, 71, 64, 67, 30, 86, 9, 84, 27,129, 12, 32, 7405 87, 26,110,104,119, 49, 91, 79, 38, 47, 33, 99, 85, 94, 53, 41, 83, 7406 13, 28, 22,106, 45,100,120), ( 1,127, 2)( 3, 13, 91)( 4,111, 30) 7407 ( 5, 27, 88)( 6,117, 19)( 7, 97,104)( 8, 39, 21)( 9, 12, 55) 7408 ( 10, 31, 54)( 11,119,128)( 14, 24, 65)( 15, 18,101)( 16, 28, 37) 7409 ( 17,102,125)( 20, 52, 59)( 22, 68,129)( 23,126, 45)( 25, 29, 26) 7410 ( 32, 76, 94)( 33, 90, 81)( 34, 58, 87)( 35, 95, 40)( 36,120, 78) 7411 ( 38, 53,105)( 41, 57, 93)( 42,107, 79)( 43, 85, 50)( 44, 74,109) 7412 ( 46, 86, 48)( 47, 82,112)( 49,114, 77)( 51,103,118)( 56, 83, 60) 7413 ( 61,121,116)( 62, 80,124)( 63, 99,115)( 64, 72, 89)( 66,123, 75) 7414 ( 67, 84, 92)( 69, 98,122)( 70,110,108)( 71,113,106)( 73,100, 96) ] ], 7415[ 2, 14679168, 0, "2", [ [ 128, 1 ] ], 3, "PGammaL(2, 2^7)", 7416 [ "L", [ 2, 128 ], 1 ], 7417 [ ( 1, 39,111,119,105,125, 5, 9, 3, 32, 14, 89, 77, 54)( 2, 13, 8, 58, 7418 42, 24, 92, 23, 75, 61, 40,113, 17, 53)( 4,123, 48, 37,101, 28, 38, 7419 109, 19,110, 60, 67, 15, 64)( 6,114,128,104, 50, 55, 18, 26,122, 68, 7420 129,116,124, 34)( 7,120, 49, 27, 22, 41,121, 73, 84, 45, 30, 56, 52, 7421 100)( 10, 93, 94, 76, 80, 57, 95, 81, 96,103, 43, 47, 72,108) 7422 ( 11, 78,106, 65, 85, 25, 91, 98, 74, 99, 83, 59,112, 12) 7423 ( 16, 62, 31, 21,127, 36, 69, 90,115, 70, 35, 46, 79,118) 7424 ( 20, 51, 71,102, 97, 33, 63, 29, 66, 82, 88,117,107, 86)( 44, 87), 7425 ( 1, 16,126, 91, 63, 72,121, 88, 85, 83, 40,108, 52, 39) 7426 ( 2, 66, 70, 9, 80, 78, 34, 82, 84, 28, 45, 26, 3, 53) 7427 ( 4, 67, 55, 14, 51, 92, 12, 5,118,120, 8,112, 74,117) 7428 ( 6, 87,109, 44, 97,122, 86,104, 60, 93, 58,125,111,106) 7429 ( 7, 81, 56, 20,124, 75, 31,115, 68, 18,113,105, 32,101) 7430 ( 10, 38,102, 73, 76, 89, 71, 35,103, 11, 13, 27,128, 98) 7431 ( 15, 25, 57,114, 99, 33, 77, 21, 24,127,100, 62, 61, 90) 7432 ( 17, 46, 69, 94, 54,116,119, 41,107, 30, 42, 23, 64, 37) 7433 ( 19, 50, 48, 65, 43, 36, 29,123, 95,129, 49, 22, 47,110)( 59, 96) ] 7434 ], 7435[3, Factorial(129)/2,1,"2",[[128,1]],127, "Alt(129)", ["A",129, 1], "Alt"], 7436[4, Factorial(129),0,"2",[[128, 1]],129, "Sym(129)", ["A",129, 1], "Sym"]]; 7437PRIMGRP[130]:= 7438[[ 1, 6065280, 1, "2", [ [ 48, 1 ], [ 81, 1 ] ], 1, "PSL(4, 3)", 7439 [ "L", [ 4, 3 ], 1 ], 7440 [ ( 1, 67, 74,124, 27,104)( 2, 44,119, 87, 5, 16)( 3,126, 35,100, 38, 60 7441 )( 4,117,103)( 7, 17)( 8, 96, 29, 21, 59, 48)( 9, 26, 23) 7442 ( 10,121, 62, 94, 65, 54)( 11, 52, 55,109, 32, 46)( 12, 76, 61, 42, 7443 37, 49)( 13, 68, 77)( 14,130, 30,110,129, 31)( 18, 22,115,122, 93, 7444 51)( 19, 89, 84)( 20, 98,125, 43,112, 91)( 24, 83)( 25, 85, 33, 34, 7445 56, 66)( 28, 79,123, 73,102,118)( 36,101)( 39, 40, 80, 63,120,105) 7446 ( 41, 70, 71, 50, 82,116)( 45, 58, 99,127, 53, 88)( 47, 78, 97, 57, 7447 108, 95)( 64, 75,128)( 69, 86)( 72,111,114, 81,106,113)( 90, 92), 7448 ( 1,103, 60, 7, 27)( 2,105, 59, 90, 54)( 3, 74,111, 25,117) 7449 ( 4, 56, 81,108, 44)( 5, 23, 72, 45,129)( 6, 75, 50, 57,119) 7450 ( 8, 9,102, 78, 91)( 10, 79, 13, 89, 62)( 11, 85,114, 55,110) 7451 ( 12, 26, 41, 84, 77)( 14, 76, 18, 93,128)( 15, 80,113,126, 86) 7452 ( 16, 52, 24, 39,100)( 17, 38, 46,107, 47)( 19, 32,115, 31,104) 7453 ( 20,116, 34, 68, 96)( 21, 29, 40, 83,124)( 22, 97, 36,120, 51) 7454 ( 28, 88, 53, 70, 58)( 30, 43,125, 95, 49)( 33, 35,122,109, 87) 7455 ( 37, 92, 66,118, 67)( 42,127, 65,123,121)( 48,101, 73,106, 82) 7456 ( 61, 63,112,130, 71)( 64, 94, 98, 69, 99) ] ], 7457[ 2, 12130560, 0, "2", [ [ 48, 1 ], [ 81, 1 ] ], 1, "PSL(4, 3).2", 7458 [ "L", [ 4, 3 ], 1 ], 7459 [ ( 1, 24, 20, 92, 86, 55, 16,104, 51, 76, 32, 81,107)( 2, 57,102, 78,116, 7460 83, 23, 95,128, 4,115, 91,127)( 3, 43,114, 15,108, 5, 13, 88, 96, 7461 7, 87, 37, 31)( 6,109,103, 11, 56, 85, 26, 68, 65, 64,120, 40,121) 7462 ( 8, 39, 14, 46, 25,101, 58, 67,117, 45, 79,112, 93)( 9, 48, 33, 19, 7463 129, 36, 50, 89, 41, 61, 69,106, 60)( 10, 18, 30, 97, 21, 22, 90,100, 7464 66, 62,125,123, 12)( 17, 38, 29, 35, 71, 63,124, 44, 54, 53,130,122, 7465 75)( 27,126,110,113,111, 80, 82, 77, 34,118, 99, 72, 52) 7466 ( 28,105, 98, 84,119, 59, 74, 47, 94, 42, 49, 70, 73), 7467 ( 1, 12, 5, 6,117, 93,113, 95,121,128, 39,112, 17, 71, 77, 55, 25, 45 7468 )( 2, 87, 56, 73, 40,100, 82, 83,125, 20, 91, 57, 97, 42, 88, 4, 7469 36,119)( 3, 23,102, 62, 22, 38, 50, 70, 26)( 7, 18,105,110, 61, 7470 16, 32,127, 24, 90, 68, 76,106, 80, 98,111,126, 69)( 8, 84, 10, 67, 7471 65, 9, 14, 66, 34)( 11, 37, 92, 75, 53, 64,130,108, 72, 81,120,107, 7472 74, 54, 27,114,118, 31)( 13, 58, 41,115, 60,103)( 15, 89, 52, 21, 7473 116,124, 48,122, 29)( 19, 85,129, 35, 51,109, 28,123, 59) 7474 ( 30, 96,104)( 33, 63, 79, 78, 49, 47)( 43, 99, 86, 44, 94,101) ] ], 7475[ 3, 12130560, 0, "2", [ [ 48, 1 ], [ 81, 1 ] ], 1, "PGL(4, 3)", 7476 [ "L", [ 4, 3 ], 1 ], 7477 [ ( 1, 2)( 3,117,129, 37)( 4, 82, 31, 44)( 5,110, 52,108) 7478 ( 6,123, 61, 69)( 7, 47, 63, 91)( 8,120, 85,114)( 9,130) 7479 ( 10, 84, 12, 78)( 11, 94, 38, 15)( 13,128,107, 76)( 14, 53, 57, 33) 7480 ( 16, 34,126, 49)( 17, 50, 46,118)( 18, 98, 67,104)( 19,122, 30, 48) 7481 ( 20,121, 60,111)( 21, 54,106,102)( 22, 71)( 23, 74, 55, 77) 7482 ( 24,112, 56, 41)( 25,125, 26, 96)( 27,105, 58, 88)( 29, 68, 87,119) 7483 ( 32, 92, 36, 97)( 35, 66)( 39,103, 42, 62)( 40, 51,116, 80)( 43, 72) 7484 ( 45,115)( 59, 65, 75, 93)( 64, 83)( 70, 89,127, 86)( 73,100) 7485 ( 79,101,109, 81)( 90, 99,124, 95), ( 1, 29, 3,120,112, 68, 11, 70) 7486 ( 2, 62, 22, 17)( 4,106, 9, 59, 79,121, 91, 87)( 5,105, 83,107, 7487 56, 25,108, 99)( 6, 54, 49, 12, 24,114, 20, 89)( 7, 10,119, 33, 7488 71, 15, 75, 64)( 8, 98, 85, 19, 32, 34, 37,115)( 13,104, 46, 86, 7489 96, 60, 43, 94)( 14, 40, 51, 31,122,128,129,101)( 16, 23,113, 61, 7490 50,111, 84, 52)( 18, 92, 80,102, 26, 72, 38,127)( 21, 42, 35,116, 7491 55, 57, 44, 77)( 28,125,117,109, 58, 95, 36, 81)( 30, 47, 63, 41) 7492 ( 39,100,103, 67, 48,123, 73, 88)( 45, 82,130, 53)( 65, 97, 69,110) 7493 ( 66,126, 76,118, 93,124, 74, 90) ] ], 7494[ 4, 12130560, 0, "2", [ [ 48, 1 ], [ 81, 1 ] ], 1, "PSL(4, 3).2", 7495 [ "L", [ 4, 3 ], 1 ], 7496 [ ( 2,130, 76, 7, 20, 39, 81, 75)( 3, 12, 84, 69,122,114, 10, 45) 7497 ( 4, 92, 95, 66, 97, 99, 93, 70)( 5, 77, 44,116,111, 25, 18, 14) 7498 ( 6, 27,100, 61, 91,101,106, 60)( 8,128, 42, 89)( 9, 17,112, 29, 7499 123, 87, 32, 28)( 11,127,108, 31,105,115,113, 78)( 13, 26, 98, 59, 7500 126, 96, 56, 22)( 15,125, 83, 94, 85,117, 37,107)( 16, 47,121, 55, 7501 57, 79, 24,118)( 19, 80, 82, 51, 52, 58, 73, 23)( 21,104, 64, 63, 7502 109,102, 86,103)( 30, 40, 53, 54)( 33, 35, 90, 62, 72,124, 74, 67) 7503 ( 34, 41, 68, 36,129, 49, 43,120)( 38, 48, 88, 71, 46, 65,110,119), 7504 ( 1, 57, 63, 88,126, 40)( 2,121,112, 37, 60,101)( 3, 81, 96,115, 50, 7505 98)( 4, 52, 6, 66, 54, 23)( 5, 83, 58, 12, 20,117) 7506 ( 7,107, 73, 87, 44, 72)( 9, 31, 21, 92,122, 91)( 10, 55,102,106, 7507 123, 99)( 11, 17, 13, 53, 16, 82)( 14, 29, 85, 46, 59, 22) 7508 ( 15, 28, 67)( 18, 94,103,113,108,110)( 19, 76)( 24,114, 79) 7509 ( 25, 61, 64, 93,119,111)( 26, 43,129, 90, 48, 97)( 27, 47,125,130, 7510 95, 69)( 30, 56, 84,100, 70, 42)( 32, 77, 80)( 33, 75)( 34, 74) 7511 ( 35,127, 89,128, 51, 49)( 36, 71, 39)( 38,116)( 41,104,118,124, 68, 7512 65)( 45, 86,120)( 78,109) ] ], 7513[ 5, 24261120, 0, "2", [ [ 48, 1 ], [ 81, 1 ] ], 1, "PSL(4, 3).2^2", 7514 [ "L", [ 4, 3 ], 1 ], 7515 [ ( 1, 73, 83, 50,109, 77, 63, 58)( 2, 17, 5,111)( 3, 64, 75, 26, 14, 7516 38,117, 49)( 4, 80, 39,108,129, 21, 96, 11)( 6, 23, 92, 93, 87, 7517 76, 16, 62)( 7, 88,116, 94)( 8, 10, 37, 71, 24, 85, 12, 18) 7518 ( 9,106,114, 56, 42, 47, 25, 32)( 13, 54,105, 40,123,127,101, 69) 7519 ( 15, 74,119, 52)( 19, 66, 90, 82, 84, 53, 44, 78)( 20, 59, 57, 86, 7520 91, 36, 99, 29)( 22,115, 65, 60, 72, 45, 95,128)( 27, 46, 70, 28, 7521 113, 81,121,118)( 30,112, 31,100,126, 98,103,110)( 33,120, 35, 41, 7522 67, 48,130, 34)( 43, 51,122,124,125, 55,104, 97)( 61, 89) 7523 ( 68,107,102, 79), ( 1, 45,112, 8, 59, 24,115,105)( 2, 75,114, 88, 7524 43, 46, 39, 29)( 3, 28, 66, 93,101, 15, 12, 50)( 4, 84, 14, 20, 7525 5, 35, 33, 92)( 6,123,124, 89, 60, 55,106, 30)( 7, 47, 13,128, 7526 82, 52, 87, 42)( 9,122, 78,117, 83, 61, 56, 96)( 10, 81, 97, 32, 7527 41, 25,125, 86)( 11,130,100,111, 53, 21, 49, 26)( 16,107,121, 74, 7528 73, 44, 23,127)( 17, 67, 69, 37, 72, 62,129, 48)( 18, 19, 77,108) 7529 ( 22,102, 64,103, 40, 99, 90,110)( 27, 54, 38,109, 91, 95, 57, 70) 7530 ( 31, 65, 58, 80,119,118, 98, 71)( 34,126, 68, 85, 51,116,104, 63) 7531 ( 36,113, 79,120) ] ], 7532[6, Factorial(130)/2,1,"2",[[129,1]],128, "Alt(130)", ["A",130, 1], "Alt"], 7533[7, Factorial(130),0,"2",[[129, 1]],130, "Sym(130)", ["A",130, 1], "Sym"]]; 7534PRIMGRP[131]:= 7535[[ 1, 131, 3, "1", [ [ 1, 130 ] ], 1, "C(131)", [ "Z", 131, 1 ], [ ] ], 7536[ 2, 262, 2, "1", [ [ 2, 65 ] ], 1, "D(2*131)", [ "Z", 131, 1 ], 7537 [ [ [ Z(131)^65 ] ] ] ], 7538[ 3, 655, 2, "1", [ [ 5, 26 ] ], 1, "131:5", [ "Z", 131, 1 ], 7539 [ [ [ Z(131)^26 ] ] ] ], 7540[ 4, 1310, 2, "1", [ [ 10, 13 ] ], 1, "131:10", [ "Z", 131, 1 ], 7541 [ [ [ Z(131)^13 ] ] ] ], 7542[ 5, 1703, 2, "1", [ [ 13, 10 ] ], 1, "131:13", [ "Z", 131, 1 ], 7543 [ [ [ Z(131)^10 ] ] ] ], 7544[ 6, 3406, 2, "1", [ [ 26, 5 ] ], 1, "131:26", [ "Z", 131, 1 ], 7545 [ [ [ Z(131)^5 ] ] ] ], 7546[ 7, 8515, 2, "1", [ [ 65, 2 ] ], 1, "131:65", [ "Z", 131, 1 ], 7547 [ [ [ Z(131)^2 ] ] ] ], 7548[ 8, 17030, 2, "1", [ [ 130, 1 ] ], 2, "AGL(1, 131)", [ "Z", 131, 1 ], 7549 [ [ [ Z(131) ] ] ] ], 7550[9, Factorial(131)/2,1,"2",[[130,1]],129, "Alt(131)", ["A",131, 1], "Alt"], 7551[10, Factorial(131),0,"2",[[130, 1]],131, "Sym(131)", ["A",131, 1], "Sym"]]; 7552PRIMGRP[132]:= 7553[[ 1, 1123980, 1, "2", [ [ 131, 1 ] ], 2, "PSL(2, 131)", 7554 [ "L", [ 2, 131 ], 1 ], "psl" ], 7555[ 2, 2247960, 0, "2", [ [ 131, 1 ] ], 3, "PGL(2, 131)", 7556 [ "L", [ 2, 131 ], 1 ], "pgl" ], 7557[3, Factorial(132)/2,1,"2",[[131,1]],130, "Alt(132)", ["A",132, 1], "Alt"], 7558[4, Factorial(132),0,"2",[[131, 1]],132, "Sym(132)", ["A",132, 1], "Sym"]]; 7559PRIMGRP[133]:= 7560[[ 1, 212427600, 1, "2", [ [ 132, 1 ] ], 2, "PSL(3, 11)", 7561 [ "L", [ 3, 11 ], 1 ], 7562 [ ( 4, 74, 66,106,112)( 5, 60,113,126,107, 19, 67, 23, 75,102) 7563 ( 6, 71, 54, 40, 13, 20, 49, 41,116, 33)( 7, 57, 9, 45, 28, 51,109, 7564 48, 81, 83)( 8, 96, 10, 46,120, 36,104, 78, 25,122)( 11, 30,118, 70, 7565 114, 62, 35,132, 77, 24)( 12,103, 43,128,115, 29,108, 72, 80, 82) 7566 ( 14, 31, 50, 42, 86, 53, 52, 99, 98, 97)( 15, 76, 88,121, 87,117,127, 7567 38, 64, 55)( 16, 44, 27, 32, 95, 90, 91, 39, 34, 56)( 17,124,111, 21, 7568 58, 73,105, 65,100,133)( 18,125, 59,101, 22)( 26,110, 94, 89, 69,130, 7569 119, 37,131, 79)( 47, 85, 61, 92, 63, 93,123, 68,129, 84), 7570 ( 1, 21,103, 19, 18, 58, 8,122, 35, 89, 62, 20, 60, 59,100, 95,109, 7571 76,107,106, 17,130, 71,123, 86, 13,117,115, 68,113,112,105, 31, 63, 7572 129, 64, 41, 82, 78, 85, 54, 27, 28, 37, 14, 12, 92,110, 36, 84, 25, 7573 61, 23, 22, 65, 30, 15, 39, 11, 99, 90, 48, 40, 94,116, 55, 80, 45, 7574 119, 93, 49,104,127,102,101,111, 51, 56,118, 77,114, 75, 74,133, 47, 7575 98, 91, 26, 42,128, 24,126,125, 73, 88,132, 9, 53, 32, 34, 29, 46, 7576 10, 96, 79, 50, 43, 16, 70, 81,121, 97, 52,120, 7,108, 5, 4, 3, 7577 2)( 6, 67, 66,124, 33,131, 83, 87, 44, 38, 57, 69) ] ], 7578[2, Factorial(133)/2,1,"2",[[132,1]],131, "Alt(133)", ["A",133, 1], "Alt"], 7579[3, Factorial(133),0,"2",[[132, 1]],133, "Sym(133)", ["A",133, 1], "Sym"]]; 7580PRIMGRP[134]:= 7581[[1, Factorial(134)/2,1,"2",[[133,1]],132, "Alt(134)", ["A",134, 1], "Alt"], 7582[2, Factorial(134),0,"2",[[133, 1]],134, "Sym(134)", ["A",134, 1], "Sym"]]; 7583PRIMGRP[135]:= 7584[[ 1, 1451520, 1, "2", [ [ 56, 1 ], [ 14, 1 ], [ 64, 1 ] ], 1, "PSp(6, 2)", 7585 [ "B", [ 3, 2 ], 1 ], 7586 [ ( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 13)( 9, 15)( 11, 18)( 12, 20) 7587 ( 14, 23)( 16, 26)( 17, 28)( 19, 31)( 21, 34)( 22, 36)( 24, 39) 7588 ( 25, 40)( 27, 43)( 30, 46)( 32, 47)( 33, 48)( 35, 51)( 37, 54) 7589 ( 38, 56)( 41, 59)( 42, 61)( 49, 65)( 50, 67)( 52, 70)( 53, 71) 7590 ( 55, 58)( 62, 79)( 63, 81)( 64, 83)( 66, 86)( 68, 89)( 69, 91) 7591 ( 72, 94)( 73, 76)( 75, 97)( 78,100)( 80,103)( 82,101)( 84,106) 7592 ( 85,108)( 87,111)( 88,113)( 92,110)( 93,109)( 95,112)( 96,117) 7593 ( 98,119)( 99,121)(102,123)(104,122)(105,124)(114,125)(116,131) 7594 (120,128)(127,133)(129,134), 7595 ( 1, 3, 6, 11, 19, 32)( 2, 4, 8, 14, 24, 31)( 5, 9, 16, 27, 26, 7596 42)( 7, 12, 21, 35, 52, 61)( 10, 17, 29, 45, 63, 82) 7597 ( 13, 22, 37, 55, 73, 95)( 15, 25, 41, 60, 78,101)( 18, 30) 7598 ( 20, 33, 49, 66, 87,112)( 23, 38, 57, 75, 98,120)( 28, 44, 62, 80, 7599 39, 46)( 34, 50, 68, 90, 79,102)( 36, 53, 72, 86,110,128) 7600 ( 40, 58, 76, 99, 70, 43)( 48, 64, 84,107,127,123)( 51, 69, 92,116, 7601 71, 93)( 54, 59, 77, 97,119,131)( 56, 74, 96,118,133,103) 7602 ( 65, 85,109, 67, 88,114)( 81,104, 89,115,130,135)( 83,105,125) 7603 ( 91,111,121)( 94,108)(100,122,113,129,106,126)(117,132)(124,134) ] ], 7604[ 2, 174182400, 1, "2", [ [ 70, 1 ], [ 64, 1 ] ], 1, "O+(8, 2)", 7605 [ "D", [ 4, 2 ], 1 ], 7606 [ ( 1, 12, 54,102, 18,116, 9, 96, 70, 7,101, 95)( 2,124, 97, 49, 20, 48, 7607 58, 83, 91,120,115, 14)( 3, 59, 88, 47, 8,104, 86, 82, 61, 73, 50, 7608 38)( 4,130, 25, 28, 89, 53,100, 76, 11, 21,133, 39) 7609 ( 5, 15, 43,106,131,121, 22, 65, 92, 99, 87,125)( 6, 60, 71, 35, 30, 7610 10, 55, 64, 62, 31, 66, 80)( 13, 90, 74,118,111, 23, 93,123,134,112, 7611 114,132)( 16, 79,107,108, 41, 56,105, 40,103, 26, 37, 27) 7612 ( 17, 78, 72, 67,128, 32, 34, 45, 19, 57,135, 51)( 24,110,119, 29, 63, 7613 129)( 33, 68, 42)( 36, 85, 98,126, 84, 52)( 44, 77, 69,109,113,122, 7614 75,117,127, 46, 94, 81), 7615 ( 1, 58, 76, 21, 49, 55, 50, 73, 31, 16, 22, 25,134,123,122) 7616 ( 2, 52, 74,119,131,115,133, 40, 83, 41, 6, 59, 99,124, 51) 7617 ( 3,108, 88, 86, 18, 77, 23, 9, 39, 12, 17, 53, 11,109, 84) 7618 ( 4, 75, 33, 43,121, 61, 44, 56, 36, 47, 20, 98,101, 80,135) 7619 ( 5, 13,104,102, 62, 8, 46, 48, 72, 28,100, 97, 54,112, 14) 7620 ( 7,105,107, 19,118,127, 81, 68, 30, 95, 87,120,103, 37, 32) 7621 ( 10, 67,117, 85, 79,129, 89, 26, 63, 45,114,126, 91, 42,128) 7622 ( 15, 65, 38, 93,110,130,125, 60, 34, 96, 78,106, 90,132, 27) 7623 ( 24, 71,116, 57, 35, 92,113, 69, 29, 70,111, 64, 66, 82, 94) ] ], 7624[ 3, 348364800, 0, "2", [ [ 70, 1 ], [ 64, 1 ] ], 1, "PSO+(8, 2)", 7625 [ "D", [ 4, 2 ], 1 ], 7626 [ ( 1, 70, 6, 82, 13, 37, 45, 23, 95, 64,133, 25)( 2, 40, 43, 55, 65, 87, 7627 80,104,118, 26, 83, 59)( 3, 33, 47, 98, 96,126)( 4, 77, 12,135, 86, 7628 88,100, 61, 18, 39, 28,117)( 5, 14, 76, 50,115,123)( 7, 79, 91,106, 7629 93, 60, 78, 11,108,105, 67, 75)( 8, 27, 62, 72, 22,127, 17,103,121, 7630 81, 35, 69)( 9, 30, 99,114,120, 15, 94, 10, 54, 58, 57, 92) 7631 ( 16, 41, 89, 97,102,131,132, 38, 49,116,113, 44)( 19, 56, 32) 7632 ( 20, 31,134,109, 34, 90)( 21, 63, 73, 36,101,129)( 24,130,110,125, 7633 119, 48, 52, 46, 42, 71, 29, 74)( 51,122,107)( 53, 68,128, 85) 7634 ( 66,112,111,124), ( 1, 38, 39)( 2, 74, 43, 54, 97, 91,101,124, 31, 7635 3,130, 50)( 4, 73, 24)( 5, 15, 76, 6, 26,111, 83, 18,132, 34, 7636 28, 14)( 7, 47, 9, 51)( 8, 96,109, 22, 16,134, 23, 66, 99, 10, 7637 21, 80)( 11, 53,102)( 12, 48, 17,116, 46,114,112, 92,106, 86, 55, 35 7638 )( 13, 69, 87,129, 40, 85,120,100, 60, 84, 37, 52)( 19, 95, 58, 56, 7639 107,105,108,122,103,118, 65, 72)( 20,128, 42,113, 75,131, 90,135, 29, 7640 45, 59, 64)( 25, 93, 88, 62, 33, 44,104, 49, 61,125, 36, 82) 7641 ( 27, 81, 30, 70)( 32, 68,127)( 41, 67,121)( 57,119, 77,133,110,117) 7642 ( 63,123, 78, 98,115, 94)( 71, 79, 89) ] ], 7643[4, Factorial(135)/2,1,"2",[[134,1]],133, "Alt(135)", ["A",135, 1], "Alt"], 7644[5, Factorial(135),0,"2",[[134, 1]],135, "Sym(135)", ["A",135, 1], "Sym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igmaL(2, 16)", 7727 [ "L", [ 2, 16 ], 1 ], 7728 [ ( 1, 49)( 2, 48)( 3,114)( 4,123)( 5,134)( 6, 14)( 7, 47)( 8, 76) 7729 ( 9, 38)( 10, 93)( 12, 65)( 13, 25)( 15, 21)( 16, 36)( 17,126) 7730 ( 18, 95)( 19, 58)( 20, 61)( 22,105)( 23, 37)( 26, 33)( 27,101) 7731 ( 28, 97)( 29,113)( 31, 69)( 32, 72)( 34, 51)( 35, 82)( 39,127) 7732 ( 40,107)( 41, 54)( 43,108)( 44, 64)( 45, 75)( 46, 67)( 52, 53) 7733 ( 55, 57)( 56, 83)( 59,112)( 60, 96)( 62,115)( 63,119)( 66, 77) 7734 ( 68, 99)( 71,109)( 73,132)( 74,125)( 79,120)( 81,110)( 84,118) 7735 ( 86,130)( 87,106)( 90,135)( 91,136)( 92,100)( 98,103)(102,131) 7736 (111,116)(122,129)(124,128), 7737 ( 1,106, 94, 20,103, 26, 42, 90, 31, 53, 16,115)( 2, 25, 77, 13, 4, 7738 56,120,134, 87, 70, 89, 50)( 3,124, 27,123,102, 45,128, 39,132,129, 7739 60, 67)( 5, 68, 43, 76, 24, 61)( 6,113, 46, 63, 80,135, 86, 44, 78, 7740 91,105, 7)( 8,133, 93, 51,131, 84, 69, 52, 29,126,109,127) 7741 ( 9, 28,112, 11,136, 54, 22,108, 73, 97, 34, 83)( 10, 59,104,117, 12, 7742 55, 14, 36,100, 33, 88, 30)( 15, 75,107)( 17, 57,116, 64, 85, 48, 19, 7743 21,118,130, 35, 96)( 18, 81, 62, 37, 38,122)( 23, 79, 98, 72,119,121, 7744 65, 71,101, 66, 58,125)( 32,114, 40, 74, 49, 99, 47,111, 82, 95,110, 7745 92) ] ], 7746[ 6, 47377612800, 1, "2", [ [ 135, 1 ] ], 2, "PSp(8, 2)", 7747 [ "B", [ 4, 2 ], 1 ], 7748 [ ( 1, 2)( 3, 4)( 5, 7)( 6, 9)( 8, 12)( 10, 15)( 11, 17)( 13, 19) 7749 ( 14, 21)( 16, 23)( 18, 25)( 22, 29)( 24, 32)( 28, 37)( 30, 40) 7750 ( 31, 42)( 35, 47)( 36, 49)( 38, 52)( 39, 53)( 41, 56)( 45, 61) 7751 ( 46, 62)( 50, 65)( 51, 67)( 54, 69)( 55, 71)( 59, 75)( 60, 77) 7752 ( 63, 80)( 68, 84)( 70, 87)( 74, 91)( 78, 95)( 79, 96)( 83, 94) 7753 ( 85,103)( 86,105)( 90,110)( 92,112)( 99,108)(100,113)(101,117) 7754 (102,104)(109,122)(111,124)(114,121)(116,120)(118,125)(126,128) 7755 (130,133)(132,135), ( 2, 3, 5, 8, 13, 20, 28, 38)( 4, 6, 10, 16, 7756 24, 33, 45, 52)( 7, 11, 18, 26, 35, 48, 37, 51)( 9, 14, 22, 30, 41, 7757 57, 61, 67)( 12, 19, 27, 36, 50, 66, 83,101)( 15, 23, 31, 43, 59, 76, 7758 94,114)( 17, 25, 34, 46, 63, 81, 99,117)( 21, 29, 39, 54, 70, 88,108, 7759 121)( 32, 44, 60, 78)( 40, 55, 72, 90, 80, 98,116,126) 7760 ( 42, 58, 74, 92, 56, 73, 77, 95)( 47, 64, 49, 65, 82,100,118,127) 7761 ( 53, 68, 85,104, 87,107,120,128)( 62, 79, 97, 75, 93,113,125,131) 7762 ( 69, 86,106,110, 96,115, 91,111)( 71, 89,109,123,130,134,135,112) 7763 ( 84,102,105,119,122,129,132,124)(133,136) ] ], 7764[ 7, 979200, 1, "2", [ [ 60, 1 ], [ 75, 1 ] ], 1, "PSp(4, 4)", 7765 [ "B", [ 2, 4 ], 1 ], 7766 [ ( 1,102, 66, 64, 9, 99,114, 85, 89, 71,126, 2, 96,129, 52) 7767 ( 3, 4, 25, 78, 80,104, 79, 47,116, 18,100,117, 13, 37, 67) 7768 ( 5, 95, 97,134,106)( 6, 39, 8, 94, 61, 93,107, 12, 23,123, 20, 92, 7769 70,111, 17)( 7, 44, 58, 22,127, 33,113, 84,110, 19, 90, 63, 68, 36, 7770 27)( 10, 77, 45,103, 40,121,112, 46, 86, 76, 98,109, 26,108, 57) 7771 ( 11,128,120,131, 60)( 14, 34, 55, 31, 54, 50,105, 81, 72, 74, 62, 82, 7772 119,136, 56)( 15, 29,130, 28, 59,135, 87, 65, 16, 21, 83, 48, 43, 91, 7773 49)( 24, 32, 69, 51,122, 42, 35, 38, 75, 53,115,125, 88,118,133) 7774 ( 30,101,124)( 41, 73,132), 7775 ( 1, 77, 89, 93,125, 41)( 2, 23, 39,101,126, 70)( 3,102, 43,122, 71, 7776 40)( 4, 20, 88, 68, 64,130)( 5, 25,128, 74,105, 27) 7777 ( 6, 52, 7, 96,124,133)( 8, 69, 26, 61, 62, 33)( 9,107, 79) 7778 ( 10, 75, 94, 11,109, 85)( 12, 35, 17)( 13, 51, 95, 83, 32, 98) 7779 ( 14, 90, 76, 42,103, 50)( 15,116, 99, 22, 46, 73)( 16,118,114) 7780 ( 18, 24,113,135, 65,117)( 19,108, 66,106, 37,132)( 21, 67,120, 57, 7781 34,127)( 28,100,111,136, 86,129)( 30, 60, 63)( 31,119, 36, 87, 47, 7782 55)( 38, 48,115, 49, 91, 59)( 44,123,131, 58, 92, 56) 7783 ( 45, 53, 97,104, 78, 54)( 72, 84,112)( 80, 82,121, 81,110,134) ] ], 7784[ 8, 1958400, 0, "2", [ [ 60, 1 ], [ 75, 1 ] ], 1, "PSp(4, 4).2", 7785 [ "B", [ 2, 4 ], 1 ], 7786 [ ( 1, 42, 28, 93, 92, 90)( 2,118, 11, 49,114, 85)( 3, 24, 97, 87,100, 20 7787 )( 4, 79,110)( 5, 16,101,126, 30, 38)( 6, 88, 29, 99, 7,107) 7788 ( 8, 26,128,105, 70, 27)( 9, 46, 82)( 10, 60, 74, 94, 63, 23) 7789 ( 13,123,132, 51, 14, 66)( 15,125, 65, 53, 81, 86)( 17, 47, 96,112, 7790 21, 73)( 18, 77,134, 50, 80, 41)( 19, 52, 71,127, 45, 34) 7791 ( 22, 58, 36, 78,117, 37)( 25, 75, 62, 61,109, 59)( 31,108,135,122, 7792 55, 76)( 32, 43,103, 83, 40,136)( 33, 69, 48, 39,115, 91) 7793 ( 35,130, 57, 72,133,119)( 44,121, 54,113, 89, 64)( 56,129, 98) 7794 ( 67,102)( 68,116, 84)(104,124)(106,120), 7795 ( 1,100,132,135, 23, 51, 39, 98, 79, 47)( 2, 94,114,112,130, 56, 93, 7796 105, 34, 68)( 3, 43,126, 66, 55)( 4, 57, 53, 27, 54, 65,122,120, 7797 48, 42)( 5,113, 38, 7, 74,111, 33, 21, 26,101)( 6, 37,108, 8, 7798 69, 46, 31,131, 90, 67)( 9,119,103,123, 10, 50, 36,125, 59, 13) 7799 ( 11, 70, 87, 81, 63, 12, 73,129, 78, 62)( 14, 96, 61,128, 75, 60, 88, 7800 80, 29,104)( 15, 91,124,109, 17, 72,107, 45, 52, 97)( 16, 99,117,133, 7801 85)( 18,110, 86, 32, 76)( 19,134, 58, 40, 82, 25, 92,116, 95, 30) 7802 ( 20,136, 64, 83, 35, 71, 22, 41, 84,106)( 24, 77,115, 28,121, 44,127, 7803 89,118,102) ] ], 7804[ 9, 197406720, 1, "2", [ [ 72, 1 ], [ 63, 1 ] ], 1, "O-(8, 2)", 7805 [ "2D", [ 4, 2 ], 1 ], 7806 [ ( 1,114, 93, 69,107, 85, 28, 72,135,115, 31,128,131,119, 27, 67,102, 77, 7807 11, 83, 80)( 2, 20, 88)( 3,132, 64,133, 71, 15, 98, 19, 21, 86, 7808 91, 6, 7, 65, 35, 24,113,111, 58,126, 79)( 4, 16, 56, 84,108, 90, 7809 112, 25, 78, 14,123, 8, 62,104, 34, 59, 89, 97, 99, 51, 10) 7810 ( 5, 47, 13, 53, 32, 74, 38, 63, 43, 49, 55, 12, 39, 37,100, 26,105, 7811 136,125, 42, 46)( 9, 57, 17, 33, 18, 48, 52, 92, 96,118, 95, 54, 40, 7812 109,106, 70, 60,103, 75, 45,127)( 22, 50,116, 30, 82, 29,124) 7813 ( 23,134, 36,122, 44, 81, 73)( 41,120, 66, 68,101, 76,129) 7814 ( 61,130,110, 94, 87,121,117), 7815 ( 1, 49,113,116, 58, 74)( 2, 90,130, 40, 3, 29, 57,101,100,132, 4, 7816 34)( 5, 26, 78, 22,127,104,108,123,136, 43, 62,133)( 6,135, 18) 7817 ( 7,120, 36,129,124, 39,125,131, 81, 46, 12, 64)( 8,112, 97, 41, 69, 7818 63,117,111, 82, 19, 11, 99)( 9, 92, 13, 83,103, 79, 87, 17, 67, 93, 7819 38, 72)( 10, 14, 55,134,119,107)( 15, 60, 42, 44, 95, 30, 32,106, 7820 86, 33, 37, 50)( 16, 91, 48, 31,121, 24)( 20, 25, 51, 28, 52, 84, 7821 96, 35,109, 56,122, 47)( 21, 88, 59, 80, 76, 53)( 23,128, 89, 70, 7822 77, 45)( 27, 85,126, 71, 94,115, 98,102, 68, 75,118, 66) 7823 ( 54,110, 61,114, 73, 65) ] ], 7824[ 10, 394813440, 0, "2", [ [ 72, 1 ], [ 63, 1 ] ], 1, "PSO-(8, 2)", 7825 [ "2D", [ 4, 2 ], 1 ], 7826 [ ( 1,134,116,135, 53, 6)( 2, 22, 71, 36, 43,111)( 3, 82, 46, 97, 4, 85 7827 )( 5, 9,108)( 7,132, 13, 94, 50, 69)( 8,107, 29,106, 55,103) 7828 ( 10, 65, 18, 77,105, 61)( 11, 90, 64, 67, 99, 20)( 12, 54, 84,127, 7829 49,115)( 14, 68, 41, 88,100,120)( 15,122, 52)( 16, 34, 60, 31, 38, 7830 117)( 17,123,119,109, 37, 70)( 19, 76,130,131, 24,126)( 21,110, 74) 7831 ( 23, 92, 26, 48, 51, 95)( 25, 79, 42, 35, 78, 28)( 27,101, 40,133, 7832 63, 30)( 33,136, 86, 44, 72, 56)( 39,104,118, 96, 98,125) 7833 ( 47, 62, 58, 66,124,114)( 57, 83,112, 81, 93, 75)( 59,121) 7834 ( 73, 89,113)( 91,128)(102,129), 7835 ( 1, 31, 45,113, 41, 50,124,125, 86,120, 36, 70)( 2, 73, 76,126, 25, 7836 75, 95, 56, 34, 78, 38, 94)( 3, 97,129, 81, 23, 68, 57, 74, 19, 46, 7837 44, 90)( 4, 40, 65, 55, 47, 71, 37, 22, 52, 72, 14,100)( 6,106,133) 7838 ( 7, 93, 67, 16, 84, 87)( 8, 79, 24,134,109, 39)( 9, 27, 49,119, 7839 130, 96, 91, 53, 17, 83,118, 35)( 10, 77, 18, 60, 99, 64,117, 32,104, 7840 105,114, 48)( 11,128,135, 54, 26,132,116, 62,108,112, 89,115) 7841 ( 12, 98, 58,123, 82, 30)( 13,107, 80, 66,101, 20,121, 51, 85, 43,136, 7842 103)( 15, 63,102, 28, 29,122)( 21,110, 88, 61,127,111) 7843 ( 33, 69, 59, 92, 42,131) ] ], 7844[ 11, 177843714048000, 1, "2", [ [ 105, 1 ], [ 30, 1 ] ], 1, "Alt(17)", 7845 [ "A", 17, 1 ], 7846 [ ( 1,127, 69, 20, 74, 43, 72,130,107, 90,103, 75)( 2,135,116, 30,100, 78) 7847 ( 3, 46, 98,128, 4, 22, 35, 10,119, 96, 63, 14)( 5, 71, 31, 85, 83, 7848 64, 17, 18,123, 50, 68, 47)( 6,112, 37, 91, 73, 60, 42,136, 58,110, 7849 121, 97)( 7,131, 59, 38,134, 9, 32, 53,133, 92, 77, 27) 7850 ( 8, 19, 80, 61,109, 36, 48, 13, 15,114,126, 33)( 11, 76, 51,104, 16, 7851 41, 39, 70, 57,102, 21, 23)( 12,118, 44,108, 65,111, 56,132, 88,101, 7852 84, 52)( 25, 95, 87, 40,129,124, 26, 79,125, 99, 45,122) 7853 ( 28,105,106, 86,115, 55, 62, 89, 94,117,113, 49)( 29, 54, 67, 66, 81, 7854 34)( 82, 93,120), ( 1, 41,132,123, 66, 61, 12, 3,121, 76, 43,117, 7855 34, 35, 40, 94, 78)( 2, 55,112, 58,102, 45, 23, 15,104, 46,120, 9, 7856 127,105,106, 85, 14)( 4, 21, 39, 88, 83, 22, 42, 11, 65,114,110, 89, 7857 130,119, 68, 31, 97)( 5,100, 86, 59, 37, 16, 48, 27, 54, 75, 36, 56, 7858 29,136, 57, 96,108)( 6,118, 74, 50, 51, 79, 8, 63, 26, 44,111, 64, 7859 17, 18,133,128, 30)( 7,109, 33, 90,107, 73, 95, 87, 70,134, 24, 72, 7860 71, 93, 92, 77, 53)( 10, 91, 19, 82,131, 84, 67,115, 98, 47, 80, 52, 7861 99, 60, 49, 28,122)( 13, 20,125,135,101,124,103,129,126, 38, 62,116, 7862 81, 32, 69, 25,113) ] ], 7863[ 12, 355687428096000, 0, "2", [ [ 105, 1 ], [ 30, 1 ] ], 1, "Sym(17)", 7864 [ "A", 17, 1 ], 7865 [ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73) 7866 ( 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 82) 7867 ( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 92, 91,100) 7868 ( 16, 20, 24, 29, 34, 40, 46, 53, 60, 68, 76, 85, 93,102,101,109,118) 7869 ( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 94,103,111,110,119,125,130) 7870 ( 36, 42, 48, 55, 62, 70, 78, 87, 95,104,112,117,120,126,131,134,136) 7871 ( 49, 56, 63, 71, 79, 88, 96,105,113,121, 99,108,116,124,129,133,135) 7872 ( 64, 72, 80, 89, 97,106,114,122,127, 81, 90, 98,107,115,123,128,132), 7873 ( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81) 7874 ( 73, 82)( 83, 91)( 90, 99)( 92,101)(102,110)(108,117)(111,120) ] ], 7875[13, Factorial(136)/2,1,"2",[[135,1]],134, "Alt(136)", ["A",136, 1], "Alt"], 7876[14, Factorial(136),0,"2",[[135, 1]],136, "Sym(136)", ["A",136, 1], "Sym"]]; 7877PRIMGRP[137]:= 7878[[ 1, 137, 3, "1", [ [ 1, 136 ] ], 1, "C(137)", [ "Z", 137, 1 ], [ ] ], 7879[ 2, 274, 2, "1", [ [ 2, 68 ] ], 1, "D(2*137)", [ "Z", 137, 1 ], 7880 [ [ [ Z(137)^68 ] ] ] ], 7881[ 3, 548, 2, "1", [ [ 4, 34 ] ], 1, "137:4", [ "Z", 137, 1 ], 7882 [ [ [ Z(137)^34 ] ] ] ], 7883[ 4, 1096, 2, "1", [ [ 8, 17 ] ], 1, "137:8", [ "Z", 137, 1 ], 7884 [ [ [ Z(137)^17 ] ] ] ], 7885[ 5, 2329, 2, "1", [ [ 17, 8 ] ], 1, "137:17", [ "Z", 137, 1 ], 7886 [ [ [ Z(137)^8 ] ] ] ], 7887[ 6, 4658, 2, "1", [ [ 34, 4 ] ], 1, "137:34", [ "Z", 137, 1 ], 7888 [ [ [ Z(137)^4 ] ] ] ], 7889[ 7, 9316, 2, "1", [ [ 68, 2 ] ], 1, "137:68", [ "Z", 137, 1 ], 7890 [ [ [ Z(137)^2 ] ] ] ], 7891[ 8, 18632, 2, "1", [ [ 136, 1 ] ], 2, "AGL(1, 137)", [ "Z", 137, 1 ], 7892 [ [ [ Z(137) ] ] ] ], 7893[9, Factorial(137)/2,1,"2",[[136,1]],135, "Alt(137)", ["A",137, 1], "Alt"], 7894[10, Factorial(137),0,"2",[[136, 1]],137, "Sym(137)", ["A",137, 1], "Sym"]]; 7895PRIMGRP[138]:= 7896[[ 1, 1285608, 1, "2", [ [ 137, 1 ] ], 2, "PSL(2, 137)", 7897 [ "L", [ 2, 137 ], 1 ], "psl" ], 7898[ 2, 2571216, 0, "2", [ [ 137, 1 ] ], 3, "PGL(2, 137)", 7899 [ "L", [ 2, 137 ], 1 ], "pgl" ], 7900[3, Factorial(138)/2,1,"2",[[137,1]],136, "Alt(138)", ["A",138, 1], "Alt"], 7901[4, Factorial(138),0,"2",[[137, 1]],138, "Sym(138)", ["A",138, 1], "Sym"]]; 7902PRIMGRP[139]:= 7903[[ 1, 139, 3, "1", [ [ 1, 138 ] ], 1, "C(139)", [ "Z", 139, 1 ], [ ] ], 7904[ 2, 278, 2, "1", [ [ 2, 69 ] ], 1, "D(2*139)", [ "Z", 139, 1 ], 7905 [ [ [ Z(139)^69 ] ] ] ], 7906[ 3, 417, 2, "1", [ [ 3, 46 ] ], 1, "139:3", [ "Z", 139, 1 ], 7907 [ [ [ Z(139)^46 ] ] ] ], 7908[ 4, 834, 2, "1", [ [ 6, 23 ] ], 1, "139:6", [ "Z", 139, 1 ], 7909 [ [ [ Z(139)^23 ] ] ] ], 7910[ 5, 3197, 2, "1", [ [ 23, 6 ] ], 1, "139:23", [ "Z", 139, 1 ], 7911 [ [ [ Z(139)^6 ] ] ] ], 7912[ 6, 6394, 2, "1", [ [ 46, 3 ] ], 1, "139:46", [ "Z", 139, 1 ], 7913 [ [ [ Z(139)^3 ] ] ] ], 7914[ 7, 9591, 2, "1", [ [ 69, 2 ] ], 1, "139:69", [ "Z", 139, 1 ], 7915 [ [ [ Z(139)^2 ] ] ] ], 7916[ 8, 19182, 2, "1", [ [ 138, 1 ] ], 2, "AGL(1, 139)", [ "Z", 139, 1 ], 7917 [ [ [ Z(139) ] ] ] ], 7918[9, Factorial(139)/2,1,"2",[[138,1]],137, "Alt(139)", ["A",139, 1], "Alt"], 7919[10, Factorial(139),0,"2",[[138, 1]],139, "Sym(139)", ["A",139, 1], "Sym"]]; 7920PRIMGRP[140]:= 7921[[ 1, 1342740, 1, "2", [ [ 139, 1 ] ], 2, "PSL(2, 139)", 7922 [ "L", [ 2, 139 ], 1 ], "psl" ], 7923[ 2, 2685480, 0, "2", [ [ 139, 1 ] ], 3, "PGL(2, 139)", 7924 [ "L", [ 2, 139 ], 1 ], "pgl" ], 7925[3, Factorial(140)/2,1,"2",[[139,1]],138, "Alt(140)", ["A",140, 1], "Alt"], 7926[4, Factorial(140),0,"2",[[139, 1]],140, "Sym(140)", ["A",140, 1], "Sym"]]; 7927PRIMGRP[141]:= 7928[[1, Factorial(141)/2,1,"2",[[140,1]],139, "Alt(141)", ["A",141, 1], "Alt"], 7929[2, Factorial(141),0,"2",[[140, 1]],141, "Sym(141)", ["A",141, 1], "Sym"]]; 7930PRIMGRP[142]:= 7931[[1, Factorial(142)/2,1,"2",[[141,1]],140, "Alt(142)", ["A",142, 1], "Alt"], 7932[2, Factorial(142),0,"2",[[141, 1]],142, "Sym(142)", ["A",142, 1], "Sym"]]; 7933PRIMGRP[143]:= 7934[[1, Factorial(143)/2,1,"2",[[142,1]],141, "Alt(143)", ["A",143, 1], "Alt"], 7935[2, Factorial(143),0,"2",[[142, 1]],143, "Sym(143)", ["A",143, 1], "Sym"]]; 7936PRIMGRP[144]:= 7937[[ 1, 5616, 1, "2", [ [ 13, 5 ], [ 39, 2 ] ], 1, "PSL(3, 3)", 7938 [ "L", [ 3, 3 ], 1 ], 7939 [ ( 1, 19, 9, 4, 95, 15, 32, 75)( 2, 14,128, 6, 5, 40, 65, 74) 7940 ( 3,102, 89,134, 33, 50,144,122)( 7, 52, 16, 73,127, 67, 34, 26) 7941 ( 8, 85,129, 24, 62, 99,120, 59)( 10, 68, 72, 37, 18, 11,106, 22) 7942 ( 12,117, 28,105, 60, 45, 94, 82)( 13,140, 25, 44, 53, 21,103, 61) 7943 ( 17,132,118, 69,124,115, 83,113)( 20, 42,116, 49,138,111, 87, 79) 7944 ( 23,101, 90,125, 51, 71, 35,107)( 27, 76, 88, 92,104, 54, 84,121) 7945 ( 29, 41,133, 30,137, 77, 57, 38)( 31, 78, 46,131,108, 81,119, 98) 7946 ( 36, 64,114,110, 47, 66,136,123)( 39, 91, 86, 55,135, 48, 63, 56) 7947 ( 43,139, 70,126,109,142,130, 58)( 80,100, 93,141, 97,143, 96,112), 7948 ( 1,111, 30, 19, 36, 49)( 2, 25, 6, 17, 84, 10)( 3, 55, 15,125, 59, 7949 38)( 4,115,130, 34, 80, 44)( 5,131, 69,136,140,124) 7950 ( 7,122,110,120,113, 60)( 8, 61, 21, 97,102, 95)( 9, 70, 47, 48, 7951 133,117)( 11, 26, 43, 31,135, 64)( 12, 57,108, 91, 74,101) 7952 ( 13, 86,107, 90,143, 88)( 14, 85,139,144, 42,138)( 16,106, 71, 23, 7953 87,112)( 18, 66, 33, 50, 39, 78)( 20, 89, 73, 62,127, 76) 7954 ( 22,129, 51,123, 24, 83)( 27, 92,119,134, 45, 99)( 28,109, 32,105, 7955 126, 65)( 29,104, 77, 53,114,132)( 35, 46, 81, 94,121, 52) 7956 ( 37, 96, 98,128, 82, 79)( 40,116,103, 56,141, 67)( 41,137, 72,142, 7957 93, 68)( 54, 75,118, 58, 63,100) ] ], 7958[ 2, 11232, 0, "2", [ [ 13, 1 ], [ 26, 2 ], [ 39, 2 ] ], 1, "PSL(3, 3).2", 7959 [ "L", [ 3, 3 ], 1 ], 7960 [ ( 1, 91, 88, 25, 34, 80)( 2,108, 87,120,141, 61)( 3, 51,133, 58, 84, 20 7961 )( 4,124, 26)( 5, 15, 50, 38, 17, 56)( 6, 13, 24,125, 37,109) 7962 ( 7, 30, 76, 31, 28, 39)( 8, 18)( 9, 64,103,121, 45, 66) 7963 ( 10, 65, 42, 74, 11, 92)( 12,118, 33, 46, 97, 96)( 14,107, 78, 29, 7964 62, 75)( 16, 81, 19)( 21,123, 94,122, 32,129)( 22,114, 57, 89,112, 7965 119)( 23,111, 63, 83,110,131)( 27, 93, 77, 86, 85,116) 7966 ( 35,140,132, 54,137, 52)( 36, 90, 82, 67, 49, 43)( 40, 60,130,134, 7967 138,115)( 41, 47,106, 69, 70, 59)( 44,126,142,113, 99, 98) 7968 ( 53,135,136,100, 79,127)( 55,144,105,128,143, 72)( 68,102) 7969 ( 71, 95,139, 73,117,104), 7970 ( 1,142, 26,128, 87, 78)( 2, 52,118, 93, 91,112)( 3, 43, 72,114,143, 7971 55)( 4,133, 59)( 5,138)( 6, 40, 76,116, 65,100)( 7,126, 9, 45, 7972 82,117)( 8, 54, 51, 29, 15,113)( 10, 70,130, 89, 81,111) 7973 ( 11, 22, 36, 18,120,132)( 12,134, 39, 34,105, 95)( 13, 88, 23, 14, 7974 141, 47)( 16, 24,101, 67, 58,139)( 17, 73,125, 27, 25,140) 7975 ( 19, 85,127, 86, 56, 97)( 20, 92,129, 60, 49, 98)( 28, 62,106, 79, 7976 46,102)( 30,123, 64, 84, 71, 41)( 31, 42, 94, 32,131, 33) 7977 ( 35,104,110, 63, 50, 57)( 37, 69)( 38,107, 99,137,122,108) 7978 ( 44, 61, 53, 80,124, 83)( 48,135, 66, 77,119,144)( 68,115, 75, 96, 7979 103,136)( 74, 90,121) ] ], 7980[ 3, 95040, 1, "2", [ [ 11, 2 ], [ 55, 1 ], [ 66, 1 ] ], 1, "M_12", 7981 [ "Spor", "M(12)", 1 ], 7982 [ ( 1,111)( 2, 57)( 3, 44)( 4, 74)( 5,102)( 6,123)( 7,116)( 8,101) 7983 ( 10, 31)( 11, 18)( 12,127)( 13, 54)( 14, 50)( 15, 53)( 16, 51) 7984 ( 19, 43)( 20,107)( 21,113)( 22, 62)( 24, 37)( 25, 26)( 29, 95) 7985 ( 30, 81)( 32, 77)( 33, 73)( 34,140)( 35,139)( 36,103)( 38, 96) 7986 ( 39,100)( 40, 45)( 41, 98)( 42, 92)( 47,112)( 48,124)( 49, 99) 7987 ( 55, 90)( 56, 93)( 58,142)( 59, 69)( 61,115)( 63,133)( 65,110) 7988 ( 67,138)( 70, 80)( 71, 94)( 72,120)( 75, 82)( 76,108)( 79,118) 7989 ( 83, 86)( 84,132)( 87,144)( 88,114)( 89,125)( 97,119)(104,134) 7990 (106,128)(109,121)(126,141)(129,135)(131,137), 7991 ( 1, 53, 69)( 2, 96, 84)( 3, 49,121)( 4,102, 37)( 5, 47, 10) 7992 ( 6, 57, 82)( 7,117, 98)( 8,108, 90)( 9, 32, 23)( 11, 80,137) 7993 ( 12, 15,144)( 13,105, 21)( 14, 33, 61)( 16, 27,124)( 17, 87,115) 7994 ( 18, 56, 52)( 19,110, 89)( 20,135,140)( 22,134, 62)( 24,133,111) 7995 ( 25,131,136)( 26, 45, 74)( 28, 31, 67)( 29,126, 42)( 30, 72, 73) 7996 ( 34, 86,109)( 35,100, 71)( 36,142,116)( 38, 97,139)( 39, 59, 43) 7997 ( 40, 60,141)( 41, 93,119)( 44, 77,132)( 46, 54, 63)( 48, 79, 85) 7998 ( 50,112,106)( 51,143,120)( 55, 65,128)( 58, 95, 68)( 64, 94, 88) 7999 ( 66, 83, 75)( 70, 92,104)( 76, 91,114)( 78,138,113)( 81,107,123) 8000 ( 99,101,103)(118,129,127)(122,125,130) ] ], 8001[ 4, 190080, 0, "2", [ [ 22, 1 ], [ 55, 1 ], [ 66, 1 ] ], 1, "M_12.2", 8002 [ "Spor", "M(12)", 1 ], 8003 [ ( 1,127)( 2, 75)( 3, 21)( 4,120)( 5, 24)( 6,101)( 7,124)( 8, 97) 8004 ( 9, 77)( 10,132)( 11, 99)( 12,135)( 13, 29)( 14,130)( 15, 59) 8005 ( 16, 96)( 17,140)( 18, 39)( 19,100)( 20, 76)( 22,110)( 25, 81) 8006 ( 27, 51)( 28, 57)( 30, 55)( 31, 88)( 32, 67)( 33, 40)( 34, 92) 8007 ( 35,143)( 36, 56)( 37, 87)( 38,138)( 41,126)( 43,125)( 44, 93) 8008 ( 45,117)( 46, 68)( 47, 89)( 49, 98)( 50,114)( 52,109)( 53, 63) 8009 ( 58,118)( 60,116)( 61, 83)( 62, 90)( 64,115)( 70,139)( 71, 73) 8010 ( 72,119)( 78, 84)( 80,134)( 82, 86)( 85,103)( 91,102)( 94,131) 8011 ( 95,129)(104,106)(105,113)(107,141)(108,112)(121,144)(122,128) 8012 (133,142)(136,137), ( 1,126, 62)( 2, 70, 30)( 3,102,135) 8013 ( 4, 57, 94)( 5,125, 11)( 6,111, 47)( 7, 35, 40)( 8,122, 97) 8014 ( 9, 52,143)( 10,139, 96)( 12, 63,100)( 13,130, 73)( 14, 95,107) 8015 ( 15,129, 18)( 16, 80, 74)( 17, 49,115)( 19, 32, 60)( 20, 92,121) 8016 ( 21, 37, 84)( 22, 69,112)( 23,134,118)( 24,124,142)( 25, 55, 28) 8017 ( 26, 90, 27)( 29, 93, 42)( 31, 67, 45)( 33, 54, 66)( 34, 83, 75) 8018 ( 36,133, 87)( 38,116,138)( 39,103, 41)( 43, 77, 68)( 44, 53, 89) 8019 ( 46, 99, 61)( 48,113,108)( 50,109, 56)( 51, 71, 81)( 58, 76,132) 8020 ( 59,141,123)( 64,105,136)( 65, 72, 85)( 78,104, 79)( 82, 88,137) 8021 ( 86,106,114)( 91,110,120)( 98,144,127)(101,117,119)(128,140,131) ] ], 8022[ 5, 190080, 0, "2", [ [ 22, 1 ], [ 55, 1 ], [ 66, 1 ] ], 1, "M_12.2", 8023 [ "Spor", "M(12)", 1 ], 8024 [ ( 1, 2)( 3, 7, 16, 39)( 4, 9, 22, 50)( 5, 11, 27, 57) 8025 ( 6, 13, 33, 52)( 8, 19, 44, 86)( 10, 25, 53, 97)( 12, 30) 8026 ( 14, 36, 56, 43)( 15, 38, 66,108)( 17, 34, 69, 58)( 18, 42, 83,127) 8027 ( 20, 41, 82, 81)( 21, 48, 26, 55)( 23, 35, 71,117)( 24, 51, 94, 75) 8028 ( 28, 60, 84, 54)( 29, 62,104, 61)( 31, 40, 74, 90)( 32, 65,106,116) 8029 ( 37, 76, 92,109)( 45, 87)( 46, 88,124,131)( 47, 64, 72,107)( 49, 91) 8030 ( 59, 99,111,141)( 63, 77,114,120)( 67,110,140,135)( 68,112,139,132) 8031 ( 70, 93,100,102)( 73,118, 85,128)( 78, 89,105,136)( 79,101,134,122) 8032 ( 80,125)( 95,123,113,130)( 96, 98)(103,119)(115,129,138,133)(121,143) 8033 (126,137,142,144), ( 1, 3)( 2, 5)( 4, 10)( 6, 14)( 7, 17) 8034 ( 8, 20)( 9, 23)( 11, 28)( 12, 31)( 13, 34)( 15, 16)( 18, 22) 8035 ( 19, 45)( 21, 49)( 24, 30)( 25, 54)( 26, 47)( 27, 58)( 29, 63) 8036 ( 32, 59)( 33, 67)( 35, 72)( 36, 74)( 37, 64)( 38, 78)( 39, 68) 8037 ( 40, 81)( 41, 55)( 42, 84)( 43, 85)( 44, 60)( 46, 70)( 48, 57) 8038 ( 50, 93)( 51, 95)( 52, 96)( 53, 75)( 56, 92)( 61, 90)( 62, 89) 8039 ( 65, 88)( 66,109)( 69,114)( 71, 82)( 73,119)( 76,121)( 77,102) 8040 ( 79,111)( 80,124)( 83,108)( 86,103)( 87,117)( 91, 94)( 97,120) 8041 ( 98,129)( 99,132)(100,133)(101,126)(104,131)(105,128)(106,110) 8042 (107,112)(113,118)(115,140)(116,130)(122,143)(123,139)(125,137) 8043 (127,136)(134,135)(138,141)(142,144), 8044 ( 1, 4, 11, 29, 49, 92)( 2, 6, 15, 27, 59,102)( 3, 8, 21, 30, 28, 8045 61)( 5, 12, 32, 66, 16, 40)( 7, 18, 43)( 9, 24, 52, 20, 47, 90) 8046 ( 10, 26, 56, 96, 63, 23)( 13, 35, 73, 95,130,128)( 14, 37, 77,123, 8047 58,101)( 17, 41, 22, 44, 85, 86)( 19, 46, 89, 84,108,138) 8048 ( 25, 48, 69,115,117,121)( 31, 64, 81,126,109,139)( 33, 68,113) 8049 ( 34, 70,116,141,119, 42)( 36, 75,120,112, 50, 82)( 38, 79,124) 8050 ( 39, 80,118, 78, 67,111)( 45, 51, 83, 72, 62,105)( 53, 98, 71, 65, 8051 107,134)( 54, 99, 87,125,114,142)( 55, 60,103)( 57,100, 76,122,140, 8052 110)( 74, 91, 93,127, 97,131)( 88, 94,129,104,135,136) 8053 (106,137,143,132,133,144) ] ], 8054[ 6, 125452800, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, "M_11 wreath Sym(2)", 8055 [ "Spor", "M(11)", 2 ], 8056 [ ( 1, 84, 95, 14, 55, 8,120, 87, 98, 53, 68,112,135,106, 41, 69, 28,133, 8057 82, 47, 21, 31)( 2, 60, 92,110, 51,104,113, 63,100,137, 70, 40,141, 8058 34, 37, 81, 35, 13, 79, 11, 24, 91)( 3,108, 89, 62, 52,140,118, 39, 8059 105, 29, 61, 76,143, 22, 43, 9, 36, 85, 74, 59, 20,115) 8060 ( 4,144, 94, 38, 57, 32,109, 75,107, 17, 67)( 5, 72, 88,134, 58, 44, 8061 117, 27, 97, 77, 71, 16,139, 10, 48, 93, 26, 49, 80,119, 15,103) 8062 ( 6,132, 90,122, 54,128,114,123,102,125, 66,124,138,130, 42,129, 30, 8063 121, 78,131, 18,127)( 7, 12, 96, 86, 50, 56,116,111, 99,101, 65, 64, 8064 136,142, 46, 45, 33, 25, 73, 83, 23, 19), 8065 ( 1, 62, 79, 47, 6, 61, 74, 43, 11, 66, 73, 38, 7, 71, 78, 37, 2, 8066 67, 83, 42)( 3, 64, 81, 44, 12, 63, 76, 45, 8, 72, 75, 40, 9, 68, 8067 84, 39, 4, 69, 80, 48)( 5, 65, 77, 41)( 10, 70, 82, 46) 8068 ( 13, 50,103,143,114, 85,122, 31, 23, 54, 97,134,115, 95,126, 25, 14, 8069 55,107,138,109, 86,127, 35, 18, 49, 98,139,119, 90,121, 26, 19, 59, 8070 102,133,110, 91,131, 30)( 15, 52,105,140,120, 87,124, 33, 20, 60, 99, 8071 136,117, 92,132, 27, 16, 57,104,144,111, 88,129, 32, 24, 51,100,141, 8072 116, 96,123, 28, 21, 56,108,135,112, 93,128, 36)( 17, 53,101,137,113, 8073 89,125, 29)( 22, 58,106,142,118, 94,130, 34) ] ], 8074[ 7, 18065203200, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, "M_12 wreath Sym(2)", 8075 [ "Spor", "M(12)", 2 ], 8076 [ ( 1, 77, 35, 85,113,131,133, 17, 11, 73, 29, 95,109,125,143, 13, 5, 83, 8077 25, 89,119,121,137, 23)( 2, 75, 26, 87,110,123,134, 15) 8078 ( 3, 74, 27, 86,111,122,135, 14)( 4, 84, 31, 90,118,129,136, 24, 7, 8079 78, 34, 93,112,132,139, 18, 10, 81, 28, 96,115,126,142, 21) 8080 ( 6, 82, 33, 88,120,127,138, 22, 9, 76, 36, 91,114,130,141, 16, 12, 8081 79, 30, 94,117,124,144, 19)( 8, 80, 32, 92,116,128,140, 20) 8082 ( 37, 65,107, 49, 41, 71, 97, 53, 47, 61,101, 59)( 38, 63, 98, 51) 8083 ( 39, 62, 99, 50)( 40, 72,103, 54, 46, 69,100, 60, 43, 66,106, 57) 8084 ( 42, 70,105, 52, 48, 67,102, 58, 45, 64,108, 55)( 44, 68,104, 56), 8085 ( 1,136,122, 20, 93, 11,100,121,140, 86, 23,105)( 2, 16,129, 8, 88, 8086 131,104, 85,143, 98, 13,141)( 3, 40,127, 68, 94, 35,108, 49,138, 74, 8087 17,117)( 4,124,128, 92, 95,107, 97,133,134, 14, 21, 9) 8088 ( 5,112,123, 44, 91, 71,106, 25,144, 50, 18, 81)( 6, 76,125,116, 87, 8089 47,103, 61,142, 26, 24, 57)( 7, 64,130, 32, 96, 59,102, 73,137,110, 8090 15, 45)( 10, 28,132, 56, 90, 83,101,109,135, 38, 19, 69) 8091 ( 12, 52,126, 80, 89,119, 99, 37,139, 62, 22, 33)( 27, 48, 55, 66, 82, 8092 29,120, 51, 42, 79, 65,118)( 30, 84, 53,114, 75, 41,115, 63, 46, 31, 8093 72, 58)( 34, 36, 60, 54, 78, 77,113,111, 39, 43, 67, 70) ] ], 8094[ 8, 114721266401280000, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8095 "Alt(12) wreath Sym(2)", [ "A", 12, 2 ], 8096 [ ( 1, 65, 30,127, 13, 70,114,122, 37, 71, 90,128,133, 72, 78,129) 8097 ( 2, 41, 35, 91, 20,142,120, 74, 45, 11, 89, 32,139, 24, 82,117) 8098 ( 3,101, 27,103, 15,106,111, 98, 39,107, 87,104,135,108, 75,105) 8099 ( 4, 53, 28, 55, 16, 58,112, 50, 40, 59, 88, 56,136, 60, 76, 57) 8100 ( 5, 29, 31, 19, 22,118,110, 38, 47, 95, 92,140,144, 84, 81, 9) 8101 ( 6,125, 25, 67, 18,130,109, 62, 42,131, 85, 68,138,132, 73, 69) 8102 ( 7, 17, 34,115, 14, 46,119, 86, 44,143, 96, 80,141, 12, 77, 33) 8103 ( 8,137, 36, 79, 21, 10,113, 26, 43, 23, 94,116,134, 48, 83, 93) 8104 ( 49, 64, 54,124)( 51,100)( 61, 66,126,121)( 63,102,123, 97), 8105 ( 1,138, 47, 81)( 2,136, 41, 75, 10,140, 48, 79)( 3,142, 44, 84, 7, 8106 134, 40, 77)( 4,137, 39, 82, 8,144, 43, 74)( 5,135, 46, 80, 12, 8107 139, 38, 76)( 6,143, 45, 73)( 9,133, 42, 83)( 11,141, 37, 78) 8108 ( 13,102, 35,129, 49, 90, 23,105, 25,126, 59, 93)( 14,100, 29,123, 58, 8109 92, 24,103, 26,124, 53, 87, 22,104, 36,127, 50, 88, 17, 99, 34,128, 8110 60, 91)( 15,106, 32,132, 55, 86, 16,101, 27,130, 56, 96, 19, 98, 28, 8111 125, 51, 94, 20,108, 31,122, 52, 89)( 18,107, 33,121, 54, 95, 21, 97, 8112 30,131, 57, 85)( 61, 66, 71, 69)( 62, 64, 65, 63, 70, 68, 72, 67) 8113 (109,114,119,117)(110,112,113,111,118,116,120,115) ] ], 8114[ 9, 229442532802560000, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8115 "Alt(12)^2.2^2", [ "A", 12, 2 ], 8116 [ ( 1, 16, 62, 8,136, 69, 32,133, 21, 26)( 2, 4, 64, 68,140,141, 33, 25, 8117 13, 14)( 3,112, 66, 80,137,105, 27,109, 18, 74, 5,100, 63,116,138, 8118 81, 29, 97, 15,110, 6, 76, 65,104,135,117, 30, 73, 17, 98) 8119 ( 7,124, 72, 92,139,129, 36, 85, 19,122, 12, 88, 67,128,144, 93, 31, 8120 121, 24, 86)( 9, 28, 61, 20,134)( 10, 52, 71, 44,142, 57, 35, 37, 8121 22, 50, 11, 40, 70, 56,143, 45, 34, 49, 23, 38)( 39,118, 54, 83, 41, 8122 106, 51,119, 42, 82, 53,107)( 43,130, 60, 95)( 46, 58, 59, 47) 8123 ( 48, 94, 55,131)( 75,113,102)( 77,101, 99,111,114, 78) 8124 ( 79,125,108, 87,115,126, 84, 89,103,123,120, 90)( 91,127,132, 96), 8125 ( 1, 5, 89, 92, 44, 40,136,142,130,127,115,120, 84, 73) 8126 ( 2, 53, 90, 68, 45, 16,135,106,131, 31,110, 60, 78, 61, 9, 17, 87, 8127 104, 47, 28,134, 58,126, 67,117, 24, 75, 97, 11, 29, 86, 56, 42, 64, 8128 141, 22,123,103,119, 36, 74, 49, 6, 65, 93, 20, 39,100,143, 34,122, 8129 55,114, 72, 81, 13, 3,101, 95, 32, 38, 52,138, 70,129, 19,111,108, 8130 83, 25)( 4,137, 94,128, 43,112,144, 82,121, 7,113, 96, 80, 37) 8131 ( 8, 41, 88,140, 46,124,139,118,132, 79,109, 12, 77, 85) 8132 ( 10,125, 91,116, 48, 76,133)( 14, 51,102, 71, 33)( 15, 99,107, 35, 8133 26, 50, 54, 66, 69, 21)( 18, 63,105, 23, 27, 98, 59, 30, 62, 57) ] 8134 ], 8135[ 10, 229442532802560000, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8136 "Alt(12)^2.4", [ "A", 12, 2 ], 8137 [ ( 1,134, 67,102, 46, 52,117, 77,131, 20, 87, 25,144, 7, 98, 70, 54, 45, 8138 76,119, 17,123, 32, 96)( 2, 62, 66, 42, 40,112,113,125,128, 92, 85, 8139 133,139,103,106, 58, 57, 81, 83, 23, 15, 27, 36, 12)( 3, 26, 72, 6, 8140 38, 64,114, 41,124,116, 89,121,140, 91, 97,142, 55,105, 82, 59, 21, 8141 75, 35, 24)( 4,110, 65,126, 44, 88,109,137,127,104, 94, 49,141, 79, 8142 107, 22, 51, 33, 84, 11, 14, 63, 30, 48)( 5,122, 68, 90, 37,136,115, 8143 101,130, 56, 93, 73,143, 19, 99, 34, 60, 9, 74, 71, 18, 39, 28,120) 8144 ( 8, 86, 61,138, 43,100,118, 53,129, 80, 95, 13,135, 31,108, 10, 50, 8145 69, 78, 47, 16,111, 29,132), 8146 ( 1, 62, 19, 39, 28, 97, 71, 7, 38, 16, 99, 35)( 2, 14, 15, 27, 25, 8147 61, 67, 43, 40,100,107, 11)( 3, 26, 13, 63, 31, 37, 64,103, 47, 4, 8148 98, 23)( 5, 74, 24,135, 33,109, 68,127, 42, 88,101, 83, 12,134, 21, 8149 111, 32,121, 66, 91, 41, 76,108,143, 9,110, 20,123, 30, 85, 65, 79, 8150 48,136,105,119, 8,122, 18, 87, 29, 73, 72,139, 45,112,104,131, 6, 8151 86, 17, 75, 36,133, 69,115, 44,124,102, 95)( 10, 50, 22, 51, 34, 49, 8152 70, 55, 46, 52,106, 59)( 53, 82, 60,142, 57,118, 56,130, 54, 94) 8153 ( 77, 84,144,141,117,116,128,126, 90, 89)( 78, 96,137, 81,120,140,129, 8154 114, 92,125)( 80,132,138, 93,113) ] ], 8155[ 11, 458885065605120000, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8156 "Sym(12) wreath Sym(2)", [ "A", 12, 2 ], 8157 [ ( 1, 81, 49,129, 97, 93, 13, 33,133, 69, 37, 9, 73, 57,121,105, 85, 21, 8158 25,141, 61, 45)( 2, 78, 56,130,103, 96, 23, 29,136, 62, 42, 8, 82, 8159 55,132,107, 89, 16, 26,138, 68, 46, 7, 84, 59,125,100, 86, 18, 32, 8160 142, 67, 48, 11, 77, 52,122,102, 92, 22, 31,144, 71, 41, 4, 74, 54, 8161 128,106, 91, 24, 35,137, 64, 38, 6, 80, 58,127,108, 95, 17, 28,134, 8162 66, 44, 10, 79, 60,131,101, 88, 14, 30,140, 70, 43, 12, 83, 53,124, 8163 98, 90, 20, 34,139, 72, 47, 5, 76, 50,126,104, 94, 19, 36,143, 65, 8164 40)( 3, 75, 51,123, 99, 87, 15, 27,135, 63, 39)(109,117) 8165 (110,114,116,118,115,120,119,113,112), 8166 ( 1,142, 89, 42,119, 80,103,129, 12, 22, 86, 66,111, 56, 97,141, 5, 8167 46, 95, 78,115,128,108, 21, 2, 70, 87, 54,109,140,101, 45, 11, 82, 8168 91,126,120, 20, 98, 69, 3, 58, 85,138,113, 44,107, 81, 7,130, 96, 8169 18,110, 68, 99, 57)( 4, 34, 88, 30,112, 32,100, 33) 8170 ( 6,118, 92,102,117, 8,106, 93)( 9, 10, 94, 90,114,116,104,105) 8171 ( 13,134, 65, 39, 59, 73,139,125, 48, 23, 74, 67,123, 60) 8172 ( 14, 62, 63, 51, 49,133,137, 41, 47, 83, 79,127,132, 24) 8173 ( 15, 50, 61,135, 53, 37,143, 77, 43,131, 84, 19,122, 72) 8174 ( 16, 26, 64, 27, 52, 25,136, 29, 40, 35, 76, 31,124, 36) 8175 ( 17, 38, 71, 75, 55,121,144) ] ], 8176[ 12, 871200, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8177 "PSL(2, 11) wreath Sym(2)", [ "L", [ 2, 11 ], 2 ], 8178 [ ( 1, 54, 67, 20, 87,100, 29,130,134, 45)( 2, 42, 61, 56, 91, 16, 27,106, 8179 137,129)( 3,102, 65,128, 86, 40, 25, 58,139, 21)( 4, 30, 70,140, 93 8180 )( 5,126, 62, 44, 85, 52, 31, 22,135,105)( 6, 66, 68, 92, 88, 28, 8181 34,142,141, 9)( 7, 18, 63,104, 89,124, 26, 46,133, 57) 8182 ( 8, 90, 64, 32, 94,136, 33, 10,138, 69)( 11,114, 71,116, 95,112, 35, 8183 118,143,117)( 12, 78, 72, 80, 96, 76, 36, 82,144, 81) 8184 ( 13, 51,103, 17,123, 98, 41,121, 50, 43)( 14, 39, 97, 53,127) 8185 ( 15, 99,101,125,122, 38, 37, 49, 55, 19)( 23,111,107,113,131,110, 47, 8186 109, 59,115)( 24, 75,108, 77,132, 74, 48, 73, 60, 79)( 83,120), 8187 ( 1, 10, 82, 79, 55, 49)( 2, 70, 84, 19, 51,133)( 3,142, 74, 67, 60, 8188 13)( 4, 94, 81,103, 59, 37)( 5, 34, 80,115, 54,121) 8189 ( 6,130, 77, 31, 56,109)( 7, 58, 73)( 8,118, 78,127, 53, 25) 8190 ( 9,106, 83, 43, 52, 85)( 11, 46, 76, 91, 57, 97)( 12, 22, 75,139, 8191 50, 61)( 14, 63,144)( 15,135,134, 62, 72, 24)( 16, 87,141, 98, 71, 8192 48)( 17, 27,140,110, 66,132)( 18,123,137, 26, 68,120) 8193 ( 20,111,138,122, 65, 36)( 21, 99,143, 38, 64, 96)( 23, 39,136, 86, 8194 69,108)( 28, 92,117,102,131, 41)( 29, 32,116,114,126,125) 8195 ( 30,128,113)( 33,104,119, 42,124, 89)( 35, 44,112, 90,129,101) 8196 ( 40, 88, 93,105,107, 47)( 45,100, 95) ] ], 8197[ 13, 1742400, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, "PSL(2, 11)^2.2^2", 8198 [ "L", [ 2, 11 ], 2 ], 8199 [ ( 1, 82, 66,121, 83, 54,122,107, 56,110, 99, 32,115,135, 29, 19,141, 41, 8200 16, 9, 46, 64)( 2,106, 68,109, 75, 30,127,143, 53, 14,105, 44,112, 8201 3, 34, 67,133, 77, 18,129, 47, 52)( 4, 10, 70, 61, 73, 78,126,131, 8202 59, 50, 98,104,116,111, 27, 31,139,137, 17, 21, 45, 40) 8203 ( 5, 22, 69, 37, 76, 6,130, 71, 49, 74,102,128,119, 51, 26,103,140, 8204 113, 15, 33, 43,136)( 7,142, 65, 13, 81, 42,124, 11, 58, 62, 97, 80, 8205 114,123, 35, 55,134,101, 20,117, 39, 28)( 8,118, 63, 25, 79,138,125, 8206 23, 57, 38,100)( 12, 94, 72, 85, 84, 90,132, 95, 60, 86,108, 92,120, 8207 87, 36, 91,144, 89, 24, 93, 48, 88), 8208 ( 1, 84, 42,107, 94, 63,141, 20, 28,113)( 2, 60, 38, 59, 86, 51,134, 8209 56, 26, 53)( 3,144, 44, 35, 89)( 4,120, 37, 83, 90, 99,142, 68, 8210 33, 17)( 5, 12, 48, 47, 95, 87,135,140, 32, 29)( 6,108, 46, 71, 8211 93, 15,136,116, 25, 77)( 7,132, 43,131, 91,123,139,128, 31,125) 8212 ( 8, 36, 41, 11, 96, 39,143, 92, 27,137)( 9, 24, 40,119, 85, 75,138, 8213 104, 34, 65)( 10, 72, 45, 23, 88,111,133, 80, 30,101) 8214 ( 13, 76,114, 97, 82, 66,105, 22, 64,117)( 14, 52,110, 49, 74, 54, 98, 8215 58, 62, 57)( 16,112,109, 73, 78,102,106, 70, 69, 21)( 18,100,118, 61, 8216 81)( 19,124,115,121, 79,126,103,130, 67,129)( 55,122) ] ], 8217[ 14, 1742400, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, "PSL(2, 11)^2.4", 8218 [ "L", [ 2, 11 ], 2 ], 8219 [ ( 1, 16,111, 35,126,140, 41, 79, 62,106, 9, 24,109, 28,123,143, 42, 80, 8220 65,103, 2, 22,117, 36,121,136, 39, 83, 66,104, 5, 19,110, 34,129, 8221 144, 37, 76, 63,107, 6, 20,113, 31,122,142, 45, 84, 61,100, 3, 23, 8222 114, 32,125,139, 38, 82, 69,108)( 4, 15,119, 30,128,137, 43, 74, 70, 8223 105, 12, 13,112, 27,131,138, 44, 77, 67, 98, 10, 21,120, 25,124,135, 8224 47, 78, 68,101, 7, 14,118, 33,132,133, 40, 75, 71,102, 8, 17,115, 8225 26,130,141, 48, 73, 64, 99, 11, 18,116, 29,127,134, 46, 81, 72, 97) 8226 ( 49, 52, 51, 59, 54, 56, 53, 55, 50, 58, 57, 60)( 85, 88, 87, 95, 90, 8227 92, 89, 91, 86, 94, 93, 96), 8228 ( 1,102, 70,134, 21, 48, 31, 59, 75, 8,114, 61, 98, 22,144, 33, 47, 8229 79, 56,111)( 2, 18, 72, 26, 23, 84, 32,119, 73,104,118,133,105, 46, 8230 139, 57, 39, 7, 54, 63)( 3, 6, 66, 62, 14, 24, 36, 35, 83, 80,116, 8231 109, 97,106,142,141, 45, 43, 55, 51)( 4,126, 64,122, 16,132, 28,131, 8232 76,128,112,121,100,130,136,129, 40,127, 52,123)( 5, 90, 65, 86, 17, 8233 96, 29, 95, 77, 92,113, 85,101, 94,137, 93, 41, 91, 53, 87) 8234 ( 9, 42, 67, 50, 15, 12, 30, 71, 74, 20,120, 25,107, 82,140,117, 37, 8235 103, 58,135)( 10,138, 69, 38, 19, 60, 27, 11, 78, 68,110, 13,108, 34, 8236 143, 81, 44,115, 49, 99)( 88,125) ] ], 8237[ 15, 3484800, 0, "4c", [ [ 22, 1 ], [ 121, 1 ] ], 1, 8238 "PGL(2, 11) wreath Sym(2)", [ "L", [ 2, 11 ], 2 ], 8239 [ ( 1, 78,124, 68, 94,139, 51, 21, 36, 37, 77,112, 71,106,134, 3, 18,132, 8240 44, 89,115, 59,105, 26)( 2, 6,126,128, 92, 91, 55, 57, 33, 25, 73, 8241 76, 64, 70,142,135, 15, 24, 48, 41,113,119,107, 98)( 4, 66,130,140, 8242 87, 19, 60, 45, 29,109, 83,100, 62, 10,138,123, 20, 96, 43, 53,117, 8243 35, 97, 74)( 5,114,131,104, 86, 7, 54,129, 32, 85, 79, 52, 69, 34, 8244 133, 75, 16, 72, 46,137,111, 23,108, 38)( 8, 90,127, 56, 93, 31, 49, 8245 81, 28, 61, 82,136, 63, 22,144, 39, 17,120, 47,101,110, 11,102,122) 8246 ( 9, 30,121, 80, 88, 67, 58,141, 27, 13, 84, 40, 65,118,143, 99, 14, 8247 12, 42,125,116, 95,103, 50), 8248 ( 1, 56, 35, 17,114,142, 2, 51, 33, 24,115,136)( 3, 57, 36, 19,112, 8249 133, 8, 59, 29, 18,118,134)( 4, 49, 32, 23,113,138, 10, 50, 27, 21, 8250 120,139)( 5, 54, 34, 14,111,141, 12, 55, 28, 13,116,143) 8251 ( 6, 58, 26, 15,117,144, 7, 52, 25, 20,119,137)( 9, 60, 31, 16,109, 8252 140, 11, 53, 30, 22,110,135)( 37, 92,107,125, 78, 70, 38, 87,105,132, 8253 79, 64)( 39, 93,108,127, 76, 61, 44, 95,101,126, 82, 62) 8254 ( 40, 85,104,131, 77, 66, 46, 86, 99,129, 84, 67)( 41, 90,106,122, 75, 8255 69, 48, 91,100,121, 80, 71)( 42, 94, 98,123, 81, 72, 43, 88, 97,128, 8256 83, 65)( 45, 96,103,124, 73, 68, 47, 89,102,130, 74, 63) ] ], 8257[16, Factorial(144)/2,1,"2",[[143,1]],142, "Alt(144)", ["A",144, 1], "Alt"], 8258[17, Factorial(144),0,"2",[[143, 1]],144, "Sym(144)", ["A",144, 1], "Sym"]]; 8259PRIMGRP[145]:= 8260[[1, Factorial(145)/2,1,"2",[[144,1]],143, "Alt(145)", ["A",145, 1], "Alt"], 8261[2, Factorial(145),0,"2",[[144, 1]],145, "Sym(145)", ["A",145, 1], "Sym"]]; 8262PRIMGRP[146]:= 8263[[1, Factorial(146)/2,1,"2",[[145,1]],144, "Alt(146)", ["A",146, 1], "Alt"], 8264[2, Factorial(146),0,"2",[[145, 1]],146, "Sym(146)", ["A",146, 1], "Sym"]]; 8265PRIMGRP[147]:= 8266[[1, Factorial(147)/2,1,"2",[[146,1]],145, "Alt(147)", ["A",147, 1], "Alt"], 8267[2, Factorial(147),0,"2",[[146, 1]],147, "Sym(147)", ["A",147, 1], "Sym"]]; 8268PRIMGRP[148]:= 8269[[1, Factorial(148)/2,1,"2",[[147,1]],146, "Alt(148)", ["A",148, 1], "Alt"], 8270[2, Factorial(148),0,"2",[[147, 1]],148, "Sym(148)", ["A",148, 1], "Sym"]]; 8271PRIMGRP[149]:= 8272[[ 1, 149, 3, "1", [ [ 1, 148 ] ], 1, "C(149)", [ "Z", 149, 1 ], [ ] ], 8273[ 2, 298, 2, "1", [ [ 2, 74 ] ], 1, "D(2*149)", [ "Z", 149, 1 ], 8274 [ [ [ Z(149)^74 ] ] ] ], 8275[ 3, 596, 2, "1", [ [ 4, 37 ] ], 1, "149:4", [ "Z", 149, 1 ], 8276 [ [ [ Z(149)^37 ] ] ] ], 8277[ 4, 5513, 2, "1", [ [ 37, 4 ] ], 1, "149:37", [ "Z", 149, 1 ], 8278 [ [ [ Z(149)^4 ] ] ] ], 8279[ 5, 11026, 2, "1", [ [ 74, 2 ] ], 1, "149:74", [ "Z", 149, 1 ], 8280 [ [ [ Z(149)^2 ] ] ] ], 8281[ 6, 22052, 2, "1", [ [ 148, 1 ] ], 2, "AGL(1, 149)", [ "Z", 149, 1 ], 8282 [ [ [ Z(149) ] ] ] ], 8283[7, Factorial(149)/2,1,"2",[[148,1]],147, "Alt(149)", ["A",149, 1], "Alt"], 8284[8, Factorial(149),0,"2",[[148, 1]],149, "Sym(149)", ["A",149, 1], "Sym"]]; 8285PRIMGRP[150]:= 8286[[ 1, 1653900, 1, "2", [ [ 149, 1 ] ], 2, "PSL(2, 149)", 8287 [ "L", [ 2, 149 ], 1 ], "psl" ], 8288[ 2, 3307800, 0, "2", [ [ 149, 1 ] ], 3, "PGL(2, 149)", 8289 [ "L", [ 2, 149 ], 1 ], "pgl" ], 8290[3, Factorial(150)/2,1,"2",[[149,1]],148, "Alt(150)", ["A",150, 1], "Alt"], 8291[4, Factorial(150),0,"2",[[149, 1]],150, "Sym(150)", ["A",150, 1], "Sym"]]; 8292