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On this page are computer-accessible forms for the graph C4[ 192, 38 ] = PL(MC3(6,16,1,9,7,8,1),[4^24,12^8]).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {96, 100}, {96, 116}, {81, 113}, {84, 117}, {64, 98}, {82, 118}, {88, 124}, {87, 114}, {94, 123}, {90, 124}, {92, 122}, {91, 125}, {70, 97}, {64, 104}, {69, 109}, {78, 102}, {83, 123}, {67, 105}, {65, 106}, {73, 101}, {95, 115}, {86, 122}, {80, 125}, {89, 116}, {75, 101}, {93, 115}, {92, 108}, {67, 114}, {70, 119}, {82, 99}, {84, 101}, {68, 112}, {74, 127}, {94, 107}, {91, 110}, {90, 111}, {81, 102}, {88, 111}, {65, 121}, {95, 103}, {83, 107}, {75, 114}, {68, 126}, {93, 103}, {86, 108}, {73, 117}, {69, 120}, {89, 100}, {80, 110}, {87, 105}, {78, 113}, {41, 107}, {56, 123}, {59, 120}, {54, 114}, {40, 109}, {33, 103}, {45, 106}, {55, 112}, {60, 117}, {63, 118}, {32, 109}, {37, 107}, {53, 123}, {38, 105}, {40, 121}, {47, 126}, {48, 98}, {38, 117}, {41, 122}, {54, 101}, {45, 121}, {56, 108}, {33, 116}, {60, 105}, {59, 109}, {48, 104}, {32, 121}, {39, 126}, {53, 108}, {35, 127}, {63, 99}, {37, 122}, {47, 112}, {3, 99}, {6, 102}, {7, 102}, {18, 115}, {14, 111}, {9, 104}, {10, 110}, {8, 110}, {21, 115}, {4, 99}, {2, 106}, {29, 119}, {30, 116}, {1, 106}, {15, 98}, {19, 126}, {16, 125}, {15, 97}, {25, 119}, {31, 112}, {6, 118}, {7, 118}, {21, 100}, {3, 113}, {14, 125}, {8, 124}, {4, 113}, {29, 104}, {20, 97}, {10, 124}, {20, 98}, {18, 100}, {25, 97}, {1, 120}, {30, 103}, {2, 120}, {5, 127}, {1, 127}, {9, 119}, {16, 111}, {61, 189}, {13, 140}, {42, 171}, {41, 168}, {39, 166}, {30, 159}, {60, 189}, {63, 190}, {12, 142}, {18, 144}, {49, 178}, {52, 183}, {55, 180}, {62, 189}, {23, 147}, {50, 182}, {47, 170}, {14, 137}, {26, 157}, {6, 142}, {45, 165}, {72, 192}, {40, 161}, {46, 167}, {31, 149}, {36, 174}, {19, 152}, {28, 151}, {18, 158}, {8, 133}, {44, 161}, {43, 166}, {56, 181}, {57, 180}, {59, 182}, {22, 152}, {58, 180}, {78, 192}, {3, 140}, {43, 164}, {30, 145}, {27, 148}, {24, 151}, {63, 176}, {23, 135}, {40, 184}, {51, 163}, {61, 173}, {24, 137}, {33, 176}, {56, 169}, {58, 171}, {62, 175}, {1, 147}, {43, 185}, {51, 161}, {19, 128}, {42, 185}, {34, 177}, {60, 175}, {26, 142}, {44, 184}, {31, 139}, {5, 147}, {12, 154}, {13, 154}, {47, 184}, {22, 129}, {50, 165}, {58, 162}, {3, 154}, {29, 132}, {28, 133}, {19, 138}, {11, 146}, {14, 148}, {58, 160}, {6, 157}, {9, 146}, {22, 138}, {31, 131}, {29, 129}, {55, 171}, {59, 167}, {46, 179}, {52, 169}, {27, 133}, {45, 179}, {41, 183}, {39, 185}, {8, 151}, {36, 187}, {57, 166}, {27, 187}, {44, 140}, {2, 163}, {35, 130}, {11, 170}, {24, 186}, {35, 129}, {32, 130}, {28, 190}, {50, 144}, {57, 155}, {25, 186}, {36, 135}, {53, 150}, {52, 144}, {61, 153}, {20, 177}, {49, 148}, {12, 170}, {36, 130}, {34, 132}, {23, 177}, {16, 182}, {62, 152}, {21, 178}, {42, 141}, {39, 128}, {35, 132}, {32, 135}, {2, 170}, {23, 191}, {13, 165}, {5, 172}, {34, 139}, {22, 191}, {9, 160}, {4, 174}, {48, 154}, {52, 158}, {7, 172}, {38, 141}, {21, 190}, {20, 191}, {15, 164}, {11, 160}, {26, 182}, {28, 176}, {10, 167}, {37, 136}, {15, 162}, {50, 159}, {54, 155}, {12, 163}, {17, 161}, {46, 158}, {51, 131}, {44, 157}, {17, 163}, {11, 184}, {17, 162}, {51, 128}, {53, 134}, {55, 131}, {16, 165}, {25, 172}, {17, 164}, {61, 136}, {62, 139}, {24, 174}, {42, 156}, {57, 143}, {27, 172}, {34, 149}, {49, 137}, {10, 179}, {43, 146}, {54, 143}, {38, 156}, {7, 187}, {37, 153}, {26, 167}, {4, 186}, {48, 142}, {13, 179}, {5, 186}, {46, 145}, {72, 136}, {79, 143}, {81, 145}, {67, 129}, {82, 144}, {68, 135}, {95, 156}, {90, 153}, {65, 133}, {92, 152}, {66, 134}, {84, 146}, {77, 138}, {74, 130}, {74, 131}, {70, 140}, {74, 128}, {76, 134}, {94, 149}, {69, 137}, {73, 132}, {91, 150}, {82, 159}, {85, 155}, {81, 158}, {95, 143}, {69, 151}, {79, 156}, {91, 136}, {94, 138}, {65, 148}, {71, 145}, {68, 147}, {92, 139}, {71, 159}, {77, 149}, {85, 141}, {76, 150}, {66, 153}, {70, 157}, {90, 134}, {72, 150}, {77, 173}, {85, 181}, {33, 192}, {93, 188}, {86, 180}, {76, 175}, {89, 189}, {75, 173}, {79, 168}, {80, 183}, {83, 185}, {88, 181}, {96, 141}, {64, 174}, {71, 168}, {66, 178}, {88, 168}, {86, 166}, {76, 188}, {84, 164}, {49, 192}, {77, 188}, {71, 181}, {93, 175}, {89, 173}, {87, 162}, {75, 188}, {87, 160}, {72, 176}, {73, 177}, {79, 183}, {83, 171}, {80, 169}, {64, 187}, {96, 155}, {66, 190}, {85, 169}, {67, 191}, {78, 178} }>;

(II) A more general form is to represent the graph as the orbit of {96, 100} under the group generated by the following permutations:

a: (1, 2)(3, 4)(5, 12)(6, 7)(8, 16)(9, 29)(10, 14)(11, 35)(13, 24)(15, 20)(17, 23)(18, 33)(19, 39)(21, 30)(22, 43)(25, 48)(26, 27)(28, 50)(31, 55)(32, 40)(34, 58)(36, 44)(37, 56)(38, 60)(41, 53)(42, 62)(45, 69)(46, 49)(47, 74)(51, 68)(52, 72)(54, 75)(57, 77)(59, 65)(61, 85)(63, 82)(64, 70)(66, 71)(67, 84)(73, 87)(76, 79)(78, 81)(80, 91)(83, 92)(86, 94)(88, 90)(89, 96)(93, 95)(97, 98)(100, 116)(101, 114)(103, 115)(104, 119)(105, 117)(106, 120)(107, 108)(109, 121)(110, 125)(111, 124)(112, 131)(122, 123)(126, 128)(127, 170)(129, 146)(130, 184)(132, 160)(133, 182)(134, 168)(135, 161)(136, 169)(137, 179)(138, 166)(139, 171)(140, 174)(141, 189)(142, 172)(143, 188)(144, 176)(145, 178)(147, 163)(148, 167)(149, 180)(150, 183)(151, 165)(152, 185)(153, 181)(154, 186)(155, 173)(156, 175)(157, 187)(158, 192)(159, 190)(162, 177)(164, 191)
b: (8, 14)(10, 16)(28, 49)(46, 50)(63, 78)(81, 82)(99, 113)(102, 118)(110, 125)(111, 124)(133, 148)(137, 151)(144, 158)(145, 159)(165, 179)(167, 182)(176, 192)(178, 190)
c: (19, 31)(22, 34)(39, 55)(43, 58)(67, 73)(84, 87)(101, 114)(105, 117)(112, 126)(128, 131)(129, 132)(138, 149)(139, 152)(146, 160)(162, 164)(166, 180)(171, 185)(177, 191)
d: (2, 5)(3, 9)(4, 11)(6, 15)(7, 17)(8, 19)(10, 22)(12, 25)(13, 29)(14, 31)(16, 34)(18, 38)(20, 26)(21, 42)(23, 59)(24, 47)(27, 51)(28, 39)(30, 54)(33, 57)(35, 45)(36, 40)(41, 61)(43, 63)(44, 64)(46, 67)(48, 70)(49, 55)(50, 73)(52, 60)(56, 76)(58, 78)(62, 80)(65, 74)(66, 83)(68, 69)(71, 75)(72, 86)(77, 88)(79, 89)(81, 87)(82, 84)(85, 93)(90, 94)(91, 92)(95, 96)(97, 142)(98, 157)(99, 146)(100, 156)(101, 159)(102, 162)(103, 155)(104, 140)(105, 158)(106, 127)(107, 153)(108, 150)(109, 135)(110, 152)(111, 149)(112, 137)(113, 160)(114, 145)(115, 141)(116, 143)(117, 144)(118, 164)(119, 154)(120, 147)(121, 130)(122, 136)(123, 134)(124, 138)(125, 139)(126, 151)(128, 133)(129, 179)(131, 148)(132, 165)(161, 187)(163, 172)(166, 176)(167, 191)(168, 173)(169, 175)(170, 186)(171, 178)(174, 184)(177, 182)(180, 192)(181, 188)(183, 189)(185, 190)
e: (1, 3)(2, 13)(4, 5)(6, 32)(7, 36)(8, 9)(10, 11)(12, 45)(14, 15)(16, 17)(18, 31, 30, 19)(20, 49)(21, 34, 33, 22)(23, 78)(24, 25)(26, 40)(27, 64)(28, 29)(35, 63)(37, 54, 53, 38)(39, 52, 55, 71)(41, 57, 56, 42)(43, 80, 58, 88)(44, 59)(46, 47)(48, 65)(50, 51)(60, 61, 75, 76)(62, 89, 77, 93)(66, 73, 72, 67)(68, 81)(69, 70)(74, 82)(79, 86, 85, 83)(84, 91, 87, 90)(92, 96, 94, 95)(97, 137)(98, 148)(99, 127)(100, 149, 103, 152)(101, 150, 105, 153)(102, 135)(104, 133)(106, 154)(107, 143, 108, 141)(109, 157)(110, 160, 124, 146)(111, 164, 125, 162)(112, 145, 126, 158)(113, 147)(114, 134, 117, 136)(115, 139, 116, 138)(118, 130)(119, 151)(120, 140)(121, 142)(122, 155, 123, 156)(128, 144, 131, 159)(129, 190, 132, 176)(161, 182)(163, 165)(166, 169, 171, 168)(167, 184)(170, 179)(172, 174)(173, 188, 175, 189)(177, 192, 191, 178)(180, 181, 185, 183)
f: (9, 15)(11, 17)(19, 31)(20, 29)(22, 34)(23, 35)(39, 55)(43, 58)(47, 51)(67, 73)(68, 74)(84, 87)(97, 119)(98, 104)(101, 114)(105, 117)(112, 128)(126, 131)(127, 147)(129, 177)(130, 135)(132, 191)(138, 149)(139, 152)(146, 162)(160, 164)(161, 184)(163, 170)(166, 180)(171, 185)
g: (18, 30)(21, 33)(37, 53)(41, 56)(52, 71)(61, 76)(66, 72)(79, 85)(80, 88)(89, 93)(90, 91)(95, 96)(100, 103)(107, 123)(108, 122)(110, 124)(111, 125)(115, 116)(134, 136)(141, 156)(143, 155)(144, 159)(145, 158)(150, 153)(168, 169)(173, 188)(175, 189)(176, 190)(178, 192)(181, 183)
h: (38, 54)(42, 57)(60, 75)(62, 77)(83, 86)(92, 94)(101, 117)(105, 114)(107, 122)(108, 123)(138, 152)(139, 149)(141, 155)(143, 156)(166, 185)(171, 180)(173, 189)(175, 188)
m: (3, 6)(4, 7)(8, 14)(10, 16)(13, 26)(24, 27)(28, 49)(45, 59)(46, 50)(63, 78)(65, 69)(81, 82)(99, 102)(106, 120)(109, 121)(110, 125)(111, 124)(113, 118)(133, 137)(140, 157)(142, 154)(144, 158)(145, 159)(148, 151)(165, 167)(172, 186)(174, 187)(176, 192)(178, 190)(179, 182)

(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[ 192, 38 ]
192
-1 147 127 106 120
-2 170 106 163 120
-3 99 154 113 140
-4 99 113 174 186
-5 147 127 172 186
-6 102 157 118 142
-7 187 102 172 118
-8 110 133 124 151
-9 146 104 160 119
-10 110 167 124 179
-11 146 170 160 184
-12 154 170 163 142
-13 154 165 179 140
-14 111 125 137 148
-15 162 97 98 164
-16 165 111 125 182
-17 161 162 163 164
-18 100 144 158 115
-19 126 138 128 152
-20 177 191 97 98
-21 100 178 190 115
-22 191 138 129 152
-23 177 135 147 191
-24 137 151 174 186
-25 172 97 119 186
-26 167 157 182 142
-27 187 133 148 172
-28 176 133 190 151
-29 132 104 129 119
-30 145 103 159 116
-31 112 149 139 131
-32 121 135 130 109
-33 176 103 192 116
-34 132 177 149 139
-35 132 127 129 130
-36 187 135 130 174
-37 122 136 107 153
-38 156 105 117 141
-39 166 126 128 185
-40 121 161 184 109
-41 122 168 183 107
-42 156 171 141 185
-43 166 146 185 164
-44 157 161 140 184
-45 121 165 179 106
-46 145 167 179 158
-47 112 126 170 184
-48 154 104 98 142
-49 178 137 148 192
-50 165 144 159 182
-51 128 161 163 131
-52 144 158 169 183
-53 123 134 150 108
-54 143 155 101 114
-55 112 180 171 131
-56 123 169 181 108
-57 143 155 166 180
-58 180 160 171 162
-59 167 182 109 120
-60 189 105 117 175
-61 189 136 173 153
-62 189 139 152 175
-63 99 176 190 118
-64 187 104 174 98
-65 121 133 148 106
-66 134 178 190 153
-67 114 191 105 129
-68 112 135 147 126
-69 137 151 109 120
-70 157 140 97 119
-71 145 168 159 181
-72 176 136 192 150
-73 132 177 101 117
-74 127 128 130 131
-75 188 101 114 173
-76 188 134 150 175
-77 188 138 149 173
-78 178 102 113 192
-79 143 156 168 183
-80 110 125 169 183
-81 145 102 113 158
-82 99 144 159 118
-83 123 171 107 185
-84 101 146 117 164
-85 155 169 181 141
-86 122 166 180 108
-87 114 105 160 162
-88 111 124 168 181
-89 100 189 116 173
-90 111 134 124 153
-91 110 125 136 150
-92 122 139 108 152
-93 188 103 115 175
-94 123 138 149 107
-95 143 156 103 115
-96 100 155 116 141
-97 25 15 70 20
-98 15 48 20 64
-99 3 4 82 63
-100 89 18 96 21
-101 73 84 75 54
-102 78 81 6 7
-103 33 93 95 30
-104 48 29 9 64
-105 67 38 60 87
-106 1 45 2 65
-107 37 83 94 41
-108 56 92 53 86
-109 69 59 40 32
-110 80 91 8 10
-111 88 90 14 16
-112 55 68 47 31
-113 78 3 4 81
-114 67 75 54 87
-115 93 18 95 21
-116 33 89 30 96
-117 38 60 73 84
-118 82 6 7 63
-119 25 70 29 9
-120 1 2 69 59
-121 45 40 32 65
-122 37 92 41 86
-123 56 83 94 53
-124 88 90 8 10
-125 14 80 91 16
-126 68 47 39 19
-127 1 35 5 74
-128 39 51 19 74
-129 22 67 35 29
-130 35 36 74 32
-131 55 51 74 31
-132 34 35 29 73
-133 27 28 8 65
-134 66 90 53 76
-135 23 68 36 32
-136 91 37 61 72
-137 24 14 69 49
-138 22 77 94 19
-139 34 92 62 31
-140 44 13 3 70
-141 38 85 96 42
-142 12 26 48 6
-143 57 79 95 54
-144 82 50 18 52
-145 46 81 71 30
-146 11 84 9 43
-147 1 23 68 5
-148 14 27 49 65
-149 77 34 94 31
-150 91 72 53 76
-151 24 69 28 8
-152 22 92 62 19
-153 66 90 37 61
-154 12 13 3 48
-155 57 85 96 54
-156 79 38 95 42
-157 44 26 70 6
-158 46 81 18 52
-159 71 82 50 30
-160 11 58 9 87
-161 44 17 40 51
-162 58 15 17 87
-163 12 2 17 51
-164 15 17 84 43
-165 45 13 16 50
-166 57 39 86 43
-167 46 26 59 10
-168 88 79 71 41
-169 56 80 52 85
-170 11 12 2 47
-171 55 58 83 42
-172 25 5 27 7
-173 77 89 61 75
-174 24 36 4 64
-175 60 93 62 76
-176 33 28 72 63
-177 23 34 73 20
-178 66 78 49 21
-179 45 13 46 10
-180 55 57 58 86
-181 88 56 71 85
-182 26 59 16 50
-183 79 80 41 52
-184 11 44 47 40
-185 39 83 42 43
-186 24 25 4 5
-187 36 27 7 64
-188 77 93 75 76
-189 89 60 61 62
-190 66 28 63 21
-191 22 23 67 20
-192 33 78 49 72
0

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