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On this page are computer-accessible forms for the graph C4[ 168, 11 ] = PS(14,24;7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 28} under the group generated by the following permutations:

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

(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[ 168, 11 ]
168
-1 165 13 24 160
-2 166 13 14 161
-3 167 14 15 162
-4 168 15 16 163
-5 157 16 17 164
-6 165 158 17 18
-7 166 159 18 19
-8 167 160 19 20
-9 168 161 20 21
-10 22 157 162 21
-11 22 23 158 163
-12 23 24 159 164
-13 1 34 2 29
-14 2 35 3 30
-15 3 36 4 31
-16 25 4 5 32
-17 33 26 5 6
-18 34 27 6 7
-19 35 28 7 8
-20 36 29 8 9
-21 25 30 9 10
-22 11 26 31 10
-23 11 12 27 32
-24 33 1 12 28
-25 37 48 16 21
-26 22 37 38 17
-27 23 38 39 18
-28 24 39 40 19
-29 13 40 41 20
-30 14 41 42 21
-31 22 15 42 43
-32 44 23 16 43
-33 44 45 24 17
-34 45 13 46 18
-35 46 14 47 19
-36 47 15 48 20
-37 25 58 26 53
-38 26 59 27 54
-39 55 27 60 28
-40 56 49 28 29
-41 57 50 29 30
-42 58 51 30 31
-43 59 52 31 32
-44 33 60 53 32
-45 33 34 49 54
-46 55 34 35 50
-47 56 35 36 51
-48 57 25 36 52
-49 45 61 72 40
-50 46 61 62 41
-51 47 62 63 42
-52 48 63 64 43
-53 44 37 64 65
-54 66 45 38 65
-55 66 67 46 39
-56 67 68 47 40
-57 68 69 48 41
-58 69 37 70 42
-59 70 38 71 43
-60 44 71 39 72
-61 77 49 82 50
-62 78 50 83 51
-63 79 51 84 52
-64 80 73 52 53
-65 81 74 53 54
-66 55 82 75 54
-67 55 56 83 76
-68 77 56 57 84
-69 78 57 58 73
-70 79 58 59 74
-71 80 59 60 75
-72 81 49 60 76
-73 69 85 96 64
-74 70 85 86 65
-75 66 71 86 87
-76 88 67 72 87
-77 88 89 68 61
-78 89 90 69 62
-79 90 91 70 63
-80 91 92 71 64
-81 92 93 72 65
-82 66 93 61 94
-83 67 94 62 95
-84 68 95 63 96
-85 101 73 106 74
-86 102 74 107 75
-87 103 75 108 76
-88 77 104 97 76
-89 77 78 105 98
-90 99 78 79 106
-91 100 79 80 107
-92 101 80 81 108
-93 102 81 82 97
-94 103 82 83 98
-95 99 104 83 84
-96 100 105 73 84
-97 88 93 109 120
-98 110 89 94 109
-99 110 111 90 95
-100 111 112 91 96
-101 112 113 92 85
-102 113 114 93 86
-103 114 115 94 87
-104 88 115 116 95
-105 89 116 117 96
-106 90 117 85 118
-107 91 118 86 119
-108 92 119 87 120
-109 125 97 130 98
-110 99 126 98 131
-111 99 132 100 127
-112 121 100 101 128
-113 122 101 102 129
-114 123 102 103 130
-115 124 103 104 131
-116 132 125 104 105
-117 121 126 105 106
-118 122 127 106 107
-119 123 128 107 108
-120 124 129 97 108
-121 133 144 112 117
-122 133 134 113 118
-123 134 135 114 119
-124 135 136 115 120
-125 136 137 116 109
-126 110 137 138 117
-127 111 138 139 118
-128 112 139 140 119
-129 113 140 141 120
-130 114 141 109 142
-131 110 143 115 142
-132 143 111 144 116
-133 121 154 122 149
-134 122 155 123 150
-135 123 156 124 151
-136 145 124 125 152
-137 146 125 126 153
-138 154 147 126 127
-139 155 148 127 128
-140 156 149 128 129
-141 145 150 129 130
-142 146 151 130 131
-143 132 147 152 131
-144 121 132 148 153
-145 157 168 136 141
-146 157 158 137 142
-147 143 158 159 138
-148 144 159 160 139
-149 133 160 161 140
-150 134 161 162 141
-151 135 162 163 142
-152 143 136 163 164
-153 165 144 137 164
-154 165 133 166 138
-155 166 134 167 139
-156 167 135 168 140
-157 145 146 5 10
-158 11 146 147 6
-159 12 147 148 7
-160 1 148 149 8
-161 2 149 150 9
-162 3 150 151 10
-163 11 4 151 152
-164 12 5 152 153
-165 154 1 6 153
-166 154 155 2 7
-167 155 156 3 8
-168 145 156 4 9
0

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