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On this page are computer-accessible forms for the graph C4[ 192, 19 ] = MPS(4,96;23).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 108} under the group generated by the following permutations:

a: (20, 44)(67, 151)(68, 176)(91, 175)(92, 152)(104, 128)
b: (17, 101)(41, 125)(65, 173)(89, 149)
c: (10, 118)(34, 142)(57, 189)(81, 165)
d: (18, 102)(42, 126)(66, 174)(90, 150)
e: (3, 27)(50, 182)(51, 159)(74, 158)(75, 183)(111, 135)
f: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(26, 48)(27, 47)(28, 46)(29, 45)(30, 44)(31, 43)(32, 42)(33, 41)(34, 40)(35, 39)(36, 38)(49, 156)(50, 71)(51, 70)(52, 69)(53, 68)(54, 67)(55, 66)(56, 65)(57, 64)(58, 63)(59, 62)(60, 61)(72, 157)(73, 180)(74, 95)(75, 94)(76, 93)(77, 92)(78, 91)(79, 90)(80, 89)(81, 88)(82, 87)(83, 86)(84, 85)(96, 181)(97, 121)(98, 120)(99, 119)(100, 118)(101, 117)(102, 116)(103, 115)(104, 114)(105, 113)(106, 112)(107, 111)(108, 110)(109, 133)(122, 144)(123, 143)(124, 142)(125, 141)(126, 140)(127, 139)(128, 138)(129, 137)(130, 136)(131, 135)(132, 134)(145, 168)(146, 167)(147, 166)(148, 165)(149, 164)(150, 163)(151, 162)(152, 161)(153, 160)(154, 159)(155, 158)(169, 192)(170, 191)(171, 190)(172, 189)(173, 188)(174, 187)(175, 186)(176, 185)(177, 184)(178, 183)(179, 182)
g: (19, 103)(43, 127)(67, 175)(91, 151)
h: (7, 115)(31, 139)(54, 186)(78, 162)
m: (24, 108)(48, 132)(72, 180)(96, 156)
n1: (21, 105)(45, 129)(69, 177)(93, 153)
a1: (15, 99)(39, 123)(63, 171)(87, 147)
b1: (5, 29)(52, 184)(53, 161)(76, 160)(77, 185)(113, 137)
c1: (18, 42)(65, 149)(66, 174)(89, 173)(90, 150)(102, 126)
d1: (6, 30)(53, 185)(54, 162)(77, 161)(78, 186)(114, 138)
e1: (20, 104)(44, 128)(68, 176)(92, 152)
f1: (9, 117)(33, 141)(56, 188)(80, 164)
g1: (16, 40)(63, 147)(64, 172)(87, 171)(88, 148)(100, 124)
h1: (15, 39)(62, 146)(63, 171)(86, 170)(87, 147)(99, 123)
m1: (9, 33)(56, 188)(57, 165)(80, 164)(81, 189)(117, 141)
n2: (17, 41)(64, 148)(65, 173)(88, 172)(89, 149)(101, 125)
a2: (23, 47)(70, 154)(71, 179)(94, 178)(95, 155)(107, 131)
b2: (14, 98)(38, 122)(62, 170)(86, 146)
c2: (12, 120)(36, 144)(59, 191)(83, 167)
d2: (8, 116)(32, 140)(55, 187)(79, 163)
e2: (5, 113)(29, 137)(52, 184)(76, 160)
f2: (4, 112)(28, 136)(51, 183)(75, 159)
g2: (1, 49, 2, 50, 3, 51, 4, 52, 5, 53, 6, 54, 7, 55, 8, 56, 9, 57, 10, 58, 11, 59, 12, 60, 13, 61, 14, 62, 15, 63, 16, 64, 17, 65, 18, 66, 19, 67, 20, 68, 21, 69, 22, 70, 23, 71, 24, 72, 25, 73, 26, 74, 27, 75, 28, 76, 29, 77, 30, 78, 31, 79, 32, 80, 33, 81, 34, 82, 35, 83, 36, 84, 37, 85, 38, 86, 39, 87, 40, 88, 41, 89, 42, 90, 43, 91, 44, 92, 45, 93, 46, 94, 47, 95, 48, 96)(97, 145, 98, 146, 99, 147, 100, 148, 101, 149, 102, 150, 103, 151, 104, 152, 105, 153, 106, 154, 107, 155, 108, 156, 109, 157, 110, 158, 111, 159, 112, 160, 113, 161, 114, 162, 115, 163, 116, 164, 117, 165, 118, 166, 119, 167, 120, 168, 121, 169, 122, 170, 123, 171, 124, 172, 125, 173, 126, 174, 127, 175, 128, 176, 129, 177, 130, 178, 131, 179, 132, 180, 133, 181, 134, 182, 135, 183, 136, 184, 137, 185, 138, 186, 139, 187, 140, 188, 141, 189, 142, 190, 143, 191, 144, 192)
h2: (23, 107)(47, 131)(71, 179)(95, 155)
m2: (22, 46)(69, 153)(70, 178)(93, 177)(94, 154)(106, 130)
n3: (22, 106)(46, 130)(70, 178)(94, 154)
a3: (19, 43)(66, 150)(67, 175)(90, 174)(91, 151)(103, 127)
b3: (11, 119)(35, 143)(58, 190)(82, 166)
c3: (1, 2)(3, 24)(4, 23)(5, 22)(6, 21)(7, 20)(8, 19)(9, 18)(10, 17)(11, 16)(12, 15)(13, 14)(25, 26)(27, 48)(28, 47)(29, 46)(30, 45)(31, 44)(32, 43)(33, 42)(34, 41)(35, 40)(36, 39)(37, 38)(50, 156)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58, 64)(59, 63)(60, 62)(72, 158)(74, 180)(75, 95)(76, 94)(77, 93)(78, 92)(79, 91)(80, 90)(81, 89)(82, 88)(83, 87)(84, 86)(96, 182)(97, 122)(98, 121)(99, 120)(100, 119)(101, 118)(102, 117)(103, 116)(104, 115)(105, 114)(106, 113)(107, 112)(108, 111)(109, 134)(110, 133)(123, 144)(124, 143)(125, 142)(126, 141)(127, 140)(128, 139)(129, 138)(130, 137)(131, 136)(132, 135)(145, 169)(146, 168)(147, 167)(148, 166)(149, 165)(150, 164)(151, 163)(152, 162)(153, 161)(154, 160)(155, 159)(157, 181)(170, 192)(171, 191)(172, 190)(173, 189)(174, 188)(175, 187)(176, 186)(177, 185)(178, 184)(179, 183)
d3: (14, 38)(61, 145)(62, 170)(85, 169)(86, 146)(98, 122)
e3: (13, 97)(37, 121)(61, 169)(85, 145)
f3: (16, 100)(40, 124)(64, 172)(88, 148)
g3: (13, 37)(60, 192)(61, 169)(84, 168)(85, 145)(97, 121)
h3: (24, 48)(71, 155)(72, 180)(95, 179)(96, 156)(108, 132)
m3: (7, 31)(54, 186)(55, 163)(78, 162)(79, 187)(115, 139)
n4: (21, 45)(68, 152)(69, 177)(92, 176)(93, 153)(105, 129)
a4: (8, 32)(55, 187)(56, 164)(79, 163)(80, 188)(116, 140)
b4: (6, 114)(30, 138)(53, 185)(77, 161)
c4: (3, 111)(27, 135)(50, 182)(74, 158)
d4: (4, 28)(51, 183)(52, 160)(75, 159)(76, 184)(112, 136)
e4: (12, 36)(59, 191)(60, 168)(83, 167)(84, 192)(120, 144)
f4: (10, 34)(57, 189)(58, 166)(81, 165)(82, 190)(118, 142)
g4: (11, 35)(58, 190)(59, 167)(82, 166)(83, 191)(119, 143)

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

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