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On this page are computer-accessible forms for the graph C4[ 220, 10 ] = PS(10,44;3).

(I) Following is a form readable by MAGMA:

g:=Graph<220|{ {44, 46}, {197, 199}, {108, 111}, {64, 68}, {66, 70}, {65, 69}, {43, 45}, {176, 183}, {80, 89}, {86, 95}, {84, 93}, {82, 91}, {146, 155}, {148, 157}, {150, 159}, {81, 90}, {85, 94}, {128, 139}, {132, 143}, {149, 158}, {128, 140}, {129, 141}, {130, 142}, {131, 143}, {144, 156}, {145, 157}, {146, 158}, {147, 159}, {129, 140}, {131, 142}, {80, 94}, {198, 200}, {81, 95}, {83, 92}, {130, 141}, {147, 156}, {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}, {64, 81}, {66, 83}, {75, 89}, {105, 123}, {104, 122}, {101, 119}, {100, 118}, {97, 115}, {96, 114}, {79, 93}, {78, 92}, {108, 126}, {109, 127}, {65, 82}, {196, 215}, {192, 211}, {132, 144}, {143, 155}, {2, 23}, {195, 214}, {193, 212}, {8, 29}, {10, 31}, {32, 53}, {34, 55}, {40, 61}, {42, 63}, {1, 23}, {106, 124}, {99, 117}, {98, 116}, {77, 91}, {76, 90}, {8, 30}, {9, 31}, {107, 125}, {9, 30}, {194, 213}, {33, 54}, {41, 62}, {32, 56}, {196, 220}, {195, 219}, {194, 218}, {193, 217}, {192, 216}, {33, 57}, {34, 58}, {35, 59}, {36, 60}, {37, 61}, {38, 62}, {39, 63}, {96, 121}, {102, 127}, {100, 125}, {98, 123}, {171, 178}, {173, 180}, {175, 182}, {2, 24}, {3, 25}, {6, 28}, {7, 29}, {3, 24}, {101, 126}, {97, 122}, {7, 28}, {35, 56}, {39, 60}, {170, 177}, {174, 181}, {4, 25}, {197, 216}, {6, 27}, {36, 57}, {38, 59}, {109, 112}, {160, 189}, {162, 191}, {4, 26}, {103, 121}, {102, 120}, {5, 27}, {5, 26}, {198, 217}, {99, 124}, {37, 58}, {110, 113}, {161, 190}, {172, 179}, {67, 98}, {79, 110}, {77, 108}, {75, 106}, {73, 104}, {71, 102}, {69, 100}, {133, 164}, {135, 166}, {137, 168}, {139, 170}, {141, 172}, {143, 174}, {145, 176}, {133, 167}, {136, 170}, {137, 171}, {140, 174}, {141, 175}, {70, 101}, {78, 109}, {74, 105}, {134, 165}, {138, 169}, {142, 173}, {155, 184}, {159, 188}, {67, 103}, {74, 110}, {73, 109}, {72, 108}, {156, 185}, {158, 187}, {138, 172}, {139, 173}, {68, 99}, {95, 120}, {76, 107}, {140, 171}, {157, 186}, {24, 48}, {25, 49}, {26, 50}, {27, 51}, {28, 52}, {29, 53}, {30, 54}, {31, 55}, {90, 115}, {94, 119}, {92, 117}, {10, 32}, {11, 33}, {14, 36}, {15, 37}, {11, 32}, {93, 118}, {89, 114}, {15, 36}, {27, 48}, {31, 52}, {68, 104}, {71, 107}, {70, 106}, {69, 105}, {1, 44}, {12, 33}, {14, 35}, {28, 49}, {30, 51}, {12, 34}, {95, 113}, {94, 112}, {13, 35}, {134, 168}, {135, 169}, {13, 34}, {91, 116}, {72, 103}, {29, 50}, {136, 167}, {82, 96}, {93, 111}, {87, 101}, {86, 100}, {83, 97}, {148, 160}, {149, 161}, {150, 162}, {151, 163}, {16, 37}, {18, 39}, {24, 45}, {26, 47}, {16, 38}, {85, 99}, {84, 98}, {17, 39}, {17, 38}, {87, 96}, {25, 46}, {151, 160}, {23, 47}, {88, 97}, {152, 161}, {154, 163}, {18, 40}, {19, 41}, {22, 44}, {19, 40}, {153, 162}, {152, 164}, {153, 165}, {154, 166}, {20, 41}, {22, 43}, {20, 42}, {88, 102}, {21, 43}, {142, 176}, {21, 42}, {144, 175}, {23, 66}, {155, 193}, {158, 196}, {159, 197}, {156, 194}, {157, 195}, {163, 192}, {167, 196}, {164, 193}, {166, 195}, {46, 72}, {62, 88}, {47, 73}, {54, 80}, {55, 81}, {160, 198}, {48, 87}, {165, 194}, {40, 64}, {191, 215}, {190, 214}, {41, 65}, {42, 66}, {184, 208}, {185, 209}, {186, 210}, {187, 211}, {188, 212}, {189, 213}, {49, 88}, {178, 219}, {45, 71}, {61, 87}, {60, 86}, {57, 83}, {56, 82}, {43, 64}, {177, 218}, {44, 65}, {191, 210}, {168, 197}, {189, 208}, {58, 84}, {59, 85}, {63, 80}, {190, 209}, {169, 198}, {179, 220}, {176, 192}, {50, 67}, {62, 79}, {60, 77}, {58, 75}, {52, 69}, {54, 71}, {56, 73}, {53, 70}, {61, 78}, {57, 74}, {180, 199}, {184, 203}, {188, 207}, {185, 204}, {187, 206}, {51, 68}, {59, 76}, {186, 205}, {177, 201}, {178, 202}, {179, 203}, {180, 204}, {181, 205}, {182, 206}, {183, 207}, {45, 84}, {47, 86}, {48, 74}, {49, 75}, {52, 78}, {53, 79}, {46, 85}, {63, 67}, {181, 200}, {183, 202}, {50, 76}, {51, 77}, {55, 72}, {182, 201}, {10, 200}, {11, 201}, {14, 204}, {15, 205}, {18, 208}, {19, 209}, {22, 212}, {12, 202}, {13, 203}, {20, 210}, {21, 211}, {2, 207}, {9, 199}, {1, 206}, {3, 208}, {7, 212}, {11, 216}, {15, 220}, {1, 213}, {2, 214}, {3, 215}, {8, 220}, {4, 209}, {6, 211}, {12, 217}, {14, 219}, {5, 210}, {13, 218}, {16, 199}, {89, 129}, {92, 132}, {91, 131}, {90, 130}, {17, 200}, {19, 202}, {21, 204}, {18, 201}, {22, 205}, {4, 216}, {5, 217}, {6, 218}, {7, 219}, {8, 213}, {10, 215}, {16, 206}, {17, 207}, {9, 214}, {20, 203}, {112, 145}, {114, 147}, {116, 149}, {118, 151}, {120, 153}, {112, 146}, {113, 147}, {116, 150}, {117, 151}, {120, 154}, {113, 146}, {117, 150}, {121, 154}, {114, 148}, {115, 149}, {103, 128}, {115, 148}, {104, 129}, {106, 131}, {105, 130}, {110, 128}, {118, 152}, {119, 153}, {107, 132}, {119, 152}, {124, 136}, {125, 137}, {126, 138}, {127, 139}, {125, 136}, {127, 138}, {126, 137}, {124, 135}, {121, 133}, {122, 134}, {123, 135}, {123, 134}, {111, 145}, {111, 144}, {122, 133} }>;

(II) A more general form is to represent the graph as the orbit of {44, 46} under the group generated by the following permutations:

a: (1, 23, 66, 70, 101, 119, 152, 164, 193, 217, 12, 34, 55, 81, 90, 130, 141, 175, 182, 206)(2, 42, 53, 87, 94, 118, 133, 155, 198, 202, 13, 31, 64, 76, 105, 129, 144, 166, 187, 213)(3, 39, 62, 82, 109, 117, 136, 168, 181, 209, 14, 28, 51, 71, 98, 128, 147, 157, 192, 220)(4, 36, 49, 77, 102, 116, 139, 159, 186, 216, 15, 25, 60, 88, 91, 127, 150, 170, 197, 205)(5, 33, 58, 72, 95, 115, 142, 172, 191, 201, 16, 44, 47, 83, 106, 126, 153, 161, 180, 212)(6, 30, 45, 67, 110, 114, 145, 163, 196, 208, 17, 41, 56, 78, 99, 125, 134, 174, 185, 219)(7, 27, 54, 84, 103, 113, 148, 176, 179, 215, 18, 38, 65, 73, 92, 124, 137, 165, 190, 204)(8, 24, 63, 79, 96, 112, 151, 167, 184, 200, 19, 35, 52, 68, 107, 123, 140, 156, 195, 211)(9, 43, 50, 74, 89, 111, 154, 158, 189, 207, 20, 32, 61, 85, 100, 122, 143, 169, 178, 218)(10, 40, 59, 69, 104, 132, 135, 171, 194, 214, 21, 29, 48, 80, 93, 121, 146, 160, 183, 203)(11, 37, 46, 86, 97, 131, 138, 162, 177, 199, 22, 26, 57, 75, 108, 120, 149, 173, 188, 210)
b: (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, 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, 66)(67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 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, 169, 170, 171, 172, 173, 174, 175, 176)(177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198)(199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220)
c: (2, 22)(3, 21)(4, 20)(5, 19)(6, 18)(7, 17)(8, 16)(9, 15)(10, 14)(11, 13)(23, 44)(24, 43)(25, 42)(26, 41)(27, 40)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(46, 66)(47, 65)(48, 64)(49, 63)(50, 62)(51, 61)(52, 60)(53, 59)(54, 58)(55, 57)(67, 88)(68, 87)(69, 86)(70, 85)(71, 84)(72, 83)(73, 82)(74, 81)(75, 80)(76, 79)(77, 78)(90, 110)(91, 109)(92, 108)(93, 107)(94, 106)(95, 105)(96, 104)(97, 103)(98, 102)(99, 101)(111, 132)(112, 131)(113, 130)(114, 129)(115, 128)(116, 127)(117, 126)(118, 125)(119, 124)(120, 123)(121, 122)(134, 154)(135, 153)(136, 152)(137, 151)(138, 150)(139, 149)(140, 148)(141, 147)(142, 146)(143, 145)(155, 176)(156, 175)(157, 174)(158, 173)(159, 172)(160, 171)(161, 170)(162, 169)(163, 168)(164, 167)(165, 166)(178, 198)(179, 197)(180, 196)(181, 195)(182, 194)(183, 193)(184, 192)(185, 191)(186, 190)(187, 189)(199, 220)(200, 219)(201, 218)(202, 217)(203, 216)(204, 215)(205, 214)(206, 213)(207, 212)(208, 211)(209, 210)

(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[ 220, 10 ]
220
-1 44 23 213 206
-2 23 24 214 207
-3 24 25 215 208
-4 209 25 26 216
-5 210 26 27 217
-6 211 27 28 218
-7 212 28 29 219
-8 220 213 29 30
-9 199 214 30 31
-10 200 215 31 32
-11 33 201 216 32
-12 33 34 202 217
-13 34 35 203 218
-14 35 36 204 219
-15 220 36 37 205
-16 199 37 38 206
-17 200 38 39 207
-18 201 39 40 208
-19 209 202 40 41
-20 210 203 41 42
-21 211 204 42 43
-22 44 212 205 43
-23 66 1 2 47
-24 45 2 3 48
-25 46 3 4 49
-26 47 4 5 50
-27 48 5 6 51
-28 49 6 7 52
-29 50 7 8 53
-30 51 8 9 54
-31 55 52 9 10
-32 11 56 53 10
-33 11 12 57 54
-34 55 12 13 58
-35 56 13 14 59
-36 57 14 15 60
-37 58 15 16 61
-38 59 16 17 62
-39 60 17 18 63
-40 61 18 19 64
-41 62 19 20 65
-42 66 63 20 21
-43 22 45 64 21
-44 22 1 46 65
-45 24 71 84 43
-46 44 25 72 85
-47 23 26 73 86
-48 24 27 74 87
-49 88 25 28 75
-50 67 26 29 76
-51 77 68 27 30
-52 78 69 28 31
-53 79 70 29 32
-54 33 80 71 30
-55 34 81 72 31
-56 35 82 73 32
-57 33 36 83 74
-58 34 37 84 75
-59 35 38 85 76
-60 77 36 39 86
-61 78 37 40 87
-62 88 79 38 41
-63 67 80 39 42
-64 68 81 40 43
-65 44 69 82 41
-66 23 70 83 42
-67 103 50 63 98
-68 99 104 51 64
-69 100 105 52 65
-70 66 101 106 53
-71 45 102 107 54
-72 55 46 103 108
-73 56 47 104 109
-74 110 57 48 105
-75 89 58 49 106
-76 90 59 50 107
-77 91 60 51 108
-78 92 61 52 109
-79 110 93 62 53
-80 89 94 63 54
-81 55 90 95 64
-82 56 91 96 65
-83 66 57 92 97
-84 45 58 93 98
-85 99 46 59 94
-86 100 47 60 95
-87 101 48 61 96
-88 102 49 62 97
-89 80 114 129 75
-90 81 115 130 76
-91 77 82 116 131
-92 132 78 83 117
-93 111 79 84 118
-94 112 80 85 119
-95 113 81 86 120
-96 121 114 82 87
-97 88 122 115 83
-98 67 123 116 84
-99 68 124 117 85
-100 69 125 118 86
-101 70 126 119 87
-102 88 71 127 120
-103 121 67 72 128
-104 122 68 73 129
-105 123 69 74 130
-106 124 70 75 131
-107 132 125 71 76
-108 77 111 126 72
-109 78 112 127 73
-110 79 113 128 74
-111 144 145 93 108
-112 145 146 94 109
-113 110 146 147 95
-114 89 147 148 96
-115 90 148 149 97
-116 91 149 150 98
-117 99 92 150 151
-118 100 93 151 152
-119 101 94 152 153
-120 154 102 95 153
-121 154 133 103 96
-122 133 134 104 97
-123 134 135 105 98
-124 99 135 136 106
-125 100 136 137 107
-126 101 137 138 108
-127 102 138 139 109
-128 110 103 139 140
-129 89 104 140 141
-130 90 105 141 142
-131 143 91 106 142
-132 143 144 92 107
-133 121 122 167 164
-134 165 122 123 168
-135 166 123 124 169
-136 167 124 125 170
-137 168 125 126 171
-138 169 126 127 172
-139 170 127 128 173
-140 171 128 129 174
-141 172 129 130 175
-142 176 173 130 131
-143 132 155 174 131
-144 132 111 156 175
-145 176 111 112 157
-146 155 112 113 158
-147 156 113 114 159
-148 157 114 115 160
-149 158 115 116 161
-150 159 116 117 162
-151 160 117 118 163
-152 161 118 119 164
-153 165 162 119 120
-154 121 166 163 120
-155 143 146 193 184
-156 144 147 194 185
-157 145 148 195 186
-158 187 146 149 196
-159 188 147 150 197
-160 198 189 148 151
-161 177 190 149 152
-162 178 191 150 153
-163 154 179 192 151
-164 133 180 193 152
-165 134 181 194 153
-166 154 135 182 195
-167 133 136 183 196
-168 134 137 184 197
-169 198 135 138 185
-170 177 136 139 186
-171 187 178 137 140
-172 188 179 138 141
-173 189 180 139 142
-174 143 190 181 140
-175 144 191 182 141
-176 145 192 183 142
-177 201 170 161 218
-178 202 171 162 219
-179 220 203 172 163
-180 199 204 173 164
-181 165 200 205 174
-182 166 201 206 175
-183 176 167 202 207
-184 155 168 203 208
-185 209 156 169 204
-186 210 157 170 205
-187 211 158 171 206
-188 212 159 172 207
-189 213 160 173 208
-190 209 214 161 174
-191 210 215 162 175
-192 176 211 216 163
-193 155 212 217 164
-194 165 156 213 218
-195 166 157 214 219
-196 220 167 158 215
-197 199 168 159 216
-198 200 169 160 217
-199 180 16 9 197
-200 198 181 17 10
-201 11 177 182 18
-202 12 178 183 19
-203 13 179 184 20
-204 14 180 185 21
-205 22 15 181 186
-206 187 1 16 182
-207 188 2 17 183
-208 189 3 18 184
-209 190 4 19 185
-210 191 5 20 186
-211 187 192 6 21
-212 22 188 193 7
-213 1 189 194 8
-214 2 190 195 9
-215 3 191 196 10
-216 11 4 192 197
-217 198 12 5 193
-218 177 13 6 194
-219 178 14 7 195
-220 179 15 8 196
0

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