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On this page are computer-accessible forms for the graph C4[ 168, 55 ] = MG(Rmap(168,133){4,6|8}_8).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {38, 39} under the group generated by the following permutations:

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

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

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