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On this page are computer-accessible forms for the graph C4[ 160, 18 ] = PS(4,80;7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 84} under the group generated by the following permutations:

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

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 160, 18 ]
160
-1 132 80 149 41
-2 133 150 41 42
-3 134 151 42 43
-4 44 135 152 43
-5 44 45 136 153
-6 154 45 46 137
-7 155 46 47 138
-8 156 47 48 139
-9 157 48 49 140
-10 158 49 50 141
-11 159 50 51 142
-12 143 160 51 52
-13 121 144 52 53
-14 122 145 53 54
-15 55 123 146 54
-16 55 56 124 147
-17 56 57 125 148
-18 57 58 126 149
-19 58 59 127 150
-20 59 60 128 151
-21 60 61 129 152
-22 61 62 130 153
-23 154 62 63 131
-24 132 155 63 64
-25 133 156 64 65
-26 66 134 157 65
-27 66 67 135 158
-28 67 68 136 159
-29 68 69 137 160
-30 121 69 70 138
-31 122 70 71 139
-32 123 71 72 140
-33 124 72 73 141
-34 125 73 74 142
-35 143 126 74 75
-36 144 127 75 76
-37 77 145 128 76
-38 77 78 146 129
-39 78 79 147 130
-40 79 80 148 131
-41 1 2 85 118
-42 2 3 86 119
-43 3 4 87 120
-44 88 4 81 5
-45 89 5 82 6
-46 90 6 83 7
-47 91 7 84 8
-48 92 8 85 9
-49 93 9 86 10
-50 11 94 10 87
-51 11 88 12 95
-52 12 89 13 96
-53 13 90 14 97
-54 14 91 15 98
-55 99 15 92 16
-56 100 16 93 17
-57 101 17 94 18
-58 102 18 95 19
-59 103 19 96 20
-60 104 20 97 21
-61 22 105 21 98
-62 22 99 23 106
-63 23 100 24 107
-64 24 101 25 108
-65 25 102 26 109
-66 110 26 103 27
-67 111 27 104 28
-68 112 28 105 29
-69 113 29 106 30
-70 114 30 107 31
-71 115 31 108 32
-72 33 116 32 109
-73 33 110 34 117
-74 34 111 35 118
-75 35 112 36 119
-76 36 113 37 120
-77 37 81 114 38
-78 38 82 115 39
-79 39 83 116 40
-80 1 40 84 117
-81 44 77 145 136
-82 45 78 146 137
-83 46 79 147 138
-84 47 80 148 139
-85 48 149 41 140
-86 49 150 42 141
-87 50 151 43 142
-88 44 143 51 152
-89 45 144 52 153
-90 154 46 145 53
-91 155 47 146 54
-92 55 156 48 147
-93 56 157 49 148
-94 57 158 50 149
-95 58 159 51 150
-96 59 160 52 151
-97 121 60 53 152
-98 122 61 54 153
-99 55 154 123 62
-100 56 155 124 63
-101 57 156 125 64
-102 58 157 126 65
-103 66 59 158 127
-104 67 60 159 128
-105 68 61 160 129
-106 121 69 62 130
-107 122 70 63 131
-108 132 123 71 64
-109 133 124 72 65
-110 66 134 125 73
-111 67 135 126 74
-112 68 136 127 75
-113 69 137 128 76
-114 77 70 138 129
-115 78 71 139 130
-116 79 72 140 131
-117 132 80 73 141
-118 133 41 74 142
-119 143 134 42 75
-120 144 135 43 76
-121 13 106 30 97
-122 14 107 31 98
-123 99 15 108 32
-124 33 100 16 109
-125 110 34 101 17
-126 111 35 102 18
-127 112 36 103 19
-128 113 37 104 20
-129 114 38 105 21
-130 22 115 39 106
-131 23 116 40 107
-132 1 24 117 108
-133 2 25 118 109
-134 110 3 26 119
-135 111 4 27 120
-136 112 81 5 28
-137 113 82 6 29
-138 114 83 7 30
-139 115 84 8 31
-140 116 85 9 32
-141 33 117 86 10
-142 11 34 118 87
-143 88 12 35 119
-144 89 13 36 120
-145 90 14 37 81
-146 91 15 38 82
-147 92 16 39 83
-148 93 17 40 84
-149 1 94 18 85
-150 2 95 19 86
-151 3 96 20 87
-152 88 4 97 21
-153 22 89 5 98
-154 99 23 90 6
-155 100 24 91 7
-156 101 25 92 8
-157 102 26 93 9
-158 103 27 94 10
-159 11 104 28 95
-160 12 105 29 96
0

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