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On this page are computer-accessible forms for the graph C4[ 168, 62 ] = BGCG(L(F28);K2;{1,2}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {84, 86} under the group generated by the following permutations:

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

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

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