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On this page are computer-accessible forms for the graph C4[ 192, 23 ] = PX(6,5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 63} under the group generated by the following permutations:

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

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

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