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On this page are computer-accessible forms for the graph C4[ 216, 95 ] = BGCG(AMC(3,12,[1.1:9.10]);K1;{1,7}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {101, 111} under the group generated by the following permutations:

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

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

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