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On this page are computer-accessible forms for the graph C4[ 224, 33 ] = SDD(PX(7,3)).

(I) Following is a form readable by MAGMA:

g:=Graph<224|{ {46, 127}, {44, 126}, {45, 127}, {40, 124}, {41, 125}, {43, 126}, {42, 125}, {32, 120}, {33, 121}, {35, 122}, {34, 121}, {39, 124}, {38, 123}, {36, 122}, {37, 123}, {22, 118}, {20, 117}, {23, 118}, {29, 127}, {21, 118}, {16, 116}, {17, 117}, {25, 125}, {26, 126}, {29, 120}, {19, 117}, {30, 120}, {18, 117}, {31, 120}, {17, 121}, {18, 122}, {22, 124}, {28, 119}, {27, 119}, {26, 119}, {21, 123}, {24, 118}, {25, 119}, {1, 113}, {3, 113}, {13, 127}, {2, 113}, {6, 114}, {9, 125}, {10, 126}, {4, 113}, {7, 114}, {5, 114}, {1, 121}, {2, 122}, {11, 115}, {10, 115}, {13, 116}, {6, 124}, {8, 114}, {9, 115}, {14, 116}, {15, 116}, {5, 123}, {12, 115}, {64, 192}, {65, 193}, {73, 201}, {74, 202}, {75, 203}, {76, 204}, {77, 205}, {78, 206}, {79, 207}, {80, 208}, {81, 209}, {82, 210}, {83, 211}, {84, 212}, {85, 213}, {86, 214}, {87, 215}, {88, 216}, {62, 191}, {67, 194}, {60, 190}, {61, 191}, {66, 193}, {71, 196}, {56, 188}, {57, 189}, {59, 190}, {70, 195}, {68, 194}, {69, 195}, {58, 189}, {79, 200}, {32, 168}, {71, 207}, {70, 206}, {69, 205}, {68, 204}, {67, 203}, {66, 202}, {65, 201}, {64, 200}, {49, 185}, {48, 184}, {89, 209}, {90, 210}, {91, 211}, {92, 212}, {93, 213}, {94, 214}, {95, 215}, {104, 224}, {51, 186}, {78, 199}, {76, 198}, {77, 199}, {50, 185}, {55, 188}, {72, 196}, {73, 197}, {54, 187}, {75, 198}, {14, 128}, {53, 187}, {52, 186}, {74, 197}, {95, 208}, {32, 176}, {112, 224}, {33, 177}, {41, 185}, {42, 186}, {43, 187}, {44, 188}, {45, 189}, {46, 190}, {47, 191}, {35, 178}, {94, 207}, {92, 206}, {93, 207}, {34, 177}, {39, 180}, {88, 204}, {89, 205}, {38, 179}, {91, 206}, {36, 178}, {37, 179}, {47, 184}, {90, 205}, {33, 185}, {72, 208}, {34, 186}, {35, 187}, {36, 188}, {37, 189}, {38, 190}, {39, 191}, {80, 200}, {81, 201}, {46, 183}, {83, 202}, {44, 182}, {45, 183}, {82, 201}, {87, 204}, {40, 180}, {41, 181}, {43, 182}, {86, 203}, {30, 128}, {84, 202}, {85, 203}, {42, 181}, {11, 171}, {17, 177}, {18, 178}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {38, 134}, {39, 135}, {40, 136}, {4, 165}, {10, 171}, {13, 172}, {3, 161}, {8, 170}, {9, 171}, {14, 172}, {22, 180}, {15, 172}, {7, 161}, {21, 179}, {30, 184}, {12, 171}, {1, 169}, {112, 216}, {56, 144}, {41, 129}, {42, 130}, {43, 131}, {44, 132}, {45, 133}, {46, 134}, {47, 135}, {11, 162}, {3, 169}, {12, 166}, {29, 183}, {2, 169}, {6, 170}, {25, 181}, {26, 182}, {4, 169}, {7, 170}, {8, 165}, {15, 162}, {29, 176}, {30, 176}, {5, 170}, {31, 176}, {47, 128}, {1, 177}, {63, 143}, {62, 142}, {61, 141}, {60, 140}, {59, 139}, {58, 138}, {57, 137}, {49, 129}, {2, 178}, {19, 163}, {48, 128}, {96, 208}, {97, 209}, {105, 217}, {106, 218}, {107, 219}, {108, 220}, {109, 221}, {110, 222}, {111, 223}, {51, 130}, {99, 210}, {6, 180}, {20, 167}, {55, 132}, {50, 129}, {28, 175}, {98, 209}, {103, 212}, {23, 163}, {27, 175}, {28, 168}, {26, 175}, {54, 131}, {102, 211}, {5, 179}, {53, 131}, {52, 130}, {14, 184}, {16, 166}, {24, 174}, {25, 175}, {100, 210}, {101, 211}, {63, 136}, {111, 216}, {22, 174}, {55, 143}, {54, 142}, {53, 141}, {52, 140}, {51, 139}, {50, 138}, {49, 137}, {48, 136}, {96, 216}, {97, 217}, {98, 218}, {99, 219}, {100, 220}, {101, 221}, {102, 222}, {103, 223}, {20, 173}, {62, 135}, {23, 174}, {110, 215}, {13, 183}, {61, 135}, {60, 134}, {108, 214}, {109, 215}, {21, 174}, {31, 164}, {9, 181}, {57, 133}, {56, 132}, {10, 182}, {16, 172}, {17, 173}, {104, 212}, {105, 213}, {59, 134}, {107, 214}, {19, 173}, {18, 173}, {58, 133}, {24, 167}, {27, 164}, {106, 213}, {32, 224}, {80, 144}, {81, 145}, {89, 153}, {90, 154}, {91, 155}, {92, 156}, {93, 157}, {94, 158}, {95, 159}, {96, 160}, {97, 161}, {98, 162}, {99, 163}, {100, 164}, {101, 165}, {102, 166}, {103, 167}, {104, 168}, {78, 143}, {83, 146}, {76, 142}, {77, 143}, {31, 220}, {82, 145}, {87, 148}, {72, 140}, {73, 141}, {75, 142}, {86, 147}, {84, 146}, {85, 147}, {24, 223}, {27, 220}, {74, 141}, {95, 152}, {19, 219}, {65, 137}, {64, 136}, {80, 152}, {81, 153}, {82, 154}, {83, 155}, {84, 156}, {85, 157}, {86, 158}, {87, 159}, {105, 161}, {106, 162}, {107, 163}, {108, 164}, {109, 165}, {110, 166}, {111, 167}, {67, 138}, {94, 151}, {92, 150}, {93, 151}, {20, 223}, {71, 140}, {66, 137}, {23, 219}, {88, 148}, {89, 149}, {70, 139}, {91, 150}, {16, 222}, {69, 139}, {68, 138}, {90, 149}, {111, 160}, {64, 144}, {72, 152}, {71, 151}, {70, 150}, {69, 149}, {68, 148}, {67, 147}, {66, 146}, {65, 145}, {112, 160}, {11, 218}, {12, 222}, {8, 221}, {15, 218}, {73, 145}, {112, 168}, {74, 146}, {75, 147}, {76, 148}, {77, 149}, {78, 150}, {79, 151}, {4, 221}, {3, 217}, {7, 217}, {79, 144}, {40, 192}, {48, 192}, {56, 200}, {55, 199}, {54, 198}, {53, 197}, {52, 196}, {51, 195}, {50, 194}, {49, 193}, {110, 159}, {108, 158}, {109, 159}, {104, 156}, {105, 157}, {107, 158}, {106, 157}, {57, 193}, {63, 199}, {62, 198}, {61, 197}, {60, 196}, {59, 195}, {58, 194}, {88, 160}, {96, 152}, {97, 153}, {99, 154}, {98, 153}, {103, 156}, {28, 224}, {102, 155}, {100, 154}, {101, 155}, {63, 192} }>;

(II) A more general form is to represent the graph as the orbit of {46, 127} under the group generated by the following permutations:

a: (131, 187)
b: (133, 189)
c: (125, 181)
d: (159, 215)
e: (118, 174)
f: (128, 184)
g: (130, 186)
h: (138, 194)
m: (165, 221)
n1: (124, 180)
a1: (122, 178)
b1: (150, 206)
c1: (155, 211)
d1: (157, 213)
e1: (116, 172)
f1: (123, 179)
g1: (140, 196)
h1: (1, 3, 97, 81, 65, 49, 33)(2, 7, 98, 82, 66, 50, 34)(4, 105, 89, 73, 57, 41, 17)(5, 11, 99, 83, 67, 51, 35)(6, 15, 100, 84, 68, 52, 36)(8, 106, 90, 74, 58, 42, 18)(9, 19, 101, 85, 69, 53, 37)(10, 23, 102, 86, 70, 54, 38)(12, 107, 91, 75, 59, 43, 21)(13, 27, 103, 87, 71, 55, 39)(14, 31, 104, 88, 72, 56, 40)(16, 108, 92, 76, 60, 44, 22)(20, 109, 93, 77, 61, 45, 25)(24, 110, 94, 78, 62, 46, 26)(28, 111, 95, 79, 63, 47, 29)(30, 32, 112, 96, 80, 64, 48)(113, 161, 153, 145, 137, 129, 121)(114, 162, 154, 146, 138, 130, 122)(115, 163, 155, 147, 139, 131, 123)(116, 164, 156, 148, 140, 132, 124)(117, 165, 157, 149, 141, 133, 125)(118, 166, 158, 150, 142, 134, 126)(119, 167, 159, 151, 143, 135, 127)(120, 168, 160, 152, 144, 136, 128)(169, 217, 209, 201, 193, 185, 177)(170, 218, 210, 202, 194, 186, 178)(171, 219, 211, 203, 195, 187, 179)(172, 220, 212, 204, 196, 188, 180)(173, 221, 213, 205, 197, 189, 181)(174, 222, 214, 206, 198, 190, 182)(175, 223, 215, 207, 199, 191, 183)(176, 224, 216, 208, 200, 192, 184)
m1: (2, 17)(3, 33)(4, 34)(5, 9)(6, 25)(7, 41)(8, 42)(10, 21)(11, 37)(12, 38)(14, 29)(15, 45)(16, 46)(19, 35)(20, 36)(22, 26)(23, 43)(24, 44)(27, 39)(28, 40)(31, 47)(32, 48)(49, 97)(50, 105)(51, 101)(52, 109)(53, 99)(54, 107)(55, 103)(56, 111)(57, 98)(58, 106)(59, 102)(60, 110)(61, 100)(62, 108)(63, 104)(64, 112)(65, 81)(66, 89)(67, 85)(68, 93)(69, 83)(70, 91)(71, 87)(72, 95)(73, 82)(74, 90)(75, 86)(76, 94)(77, 84)(78, 92)(79, 88)(80, 96)(113, 121)(114, 125)(115, 123)(116, 127)(117, 122)(118, 126)(119, 124)(120, 128)(129, 161)(130, 165)(131, 163)(132, 167)(133, 162)(134, 166)(135, 164)(136, 168)(137, 153)(138, 157)(139, 155)(140, 159)(141, 154)(142, 158)(143, 156)(144, 160)(146, 149)(148, 151)(169, 177)(170, 181)(171, 179)(172, 183)(173, 178)(174, 182)(175, 180)(176, 184)(185, 217)(186, 221)(187, 219)(188, 223)(189, 218)(190, 222)(191, 220)(192, 224)(193, 209)(194, 213)(195, 211)(196, 215)(197, 210)(198, 214)(199, 212)(200, 216)(202, 205)(204, 207)
n2: (120, 176)
a2: (161, 217)
b2: (166, 222)
c2: (167, 223)
d2: (136, 192)
e2: (162, 218)
f2: (139, 195)
g2: (164, 220)
h2: (144, 200)
m2: (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, 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)(137, 138)(139, 140)(141, 142)(143, 144)(145, 147)(146, 148)(149, 151)(150, 152)(153, 157)(154, 158)(155, 159)(156, 160)(193, 194)(195, 196)(197, 198)(199, 200)(201, 203)(202, 204)(205, 207)(206, 208)(209, 213)(210, 214)(211, 215)(212, 216)
n3: (148, 204)
a3: (1, 2)(5, 6)(9, 10)(13, 14)(17, 18)(21, 22)(25, 26)(29, 30)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(121, 122)(123, 124)(125, 126)(127, 128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 141)(138, 142)(139, 143)(140, 144)(177, 178)(179, 180)(181, 182)(183, 184)(185, 187)(186, 188)(189, 191)(190, 192)(193, 197)(194, 198)(195, 199)(196, 200)
b3: (134, 190)
c3: (127, 183)
d3: (113, 169)
e3: (129, 185)
f3: (137, 193)
g3: (33, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 44)(45, 46)(47, 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, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(129, 130)(131, 132)(133, 134)(135, 136)(137, 139)(138, 140)(141, 143)(142, 144)(145, 149)(146, 150)(147, 151)(148, 152)(185, 186)(187, 188)(189, 190)(191, 192)(193, 195)(194, 196)(197, 199)(198, 200)(201, 205)(202, 206)(203, 207)(204, 208)
h3: (163, 219)
m3: (158, 214)
n4: (121, 177)
a4: (142, 198)
b4: (147, 203)
c4: (126, 182)
d4: (141, 197)
e4: (160, 216)
f4: (149, 205)
g4: (114, 170)
h4: (132, 188)
m4: (145, 201)
n5: (156, 212)
a5: (117, 173)
b5: (115, 171)
c5: (143, 199)
d5: (153, 209)
e5: (3, 4)(7, 8)(11, 12)(15, 16)(19, 20)(23, 24)(27, 28)(31, 32)(65, 66)(67, 68)(69, 70)(71, 72)(73, 74)(75, 76)(77, 78)(79, 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)(145, 146)(147, 148)(149, 150)(151, 152)(153, 155)(154, 156)(157, 159)(158, 160)(161, 165)(162, 166)(163, 167)(164, 168)(201, 202)(203, 204)(205, 206)(207, 208)(209, 211)(210, 212)(213, 215)(214, 216)(217, 221)(218, 222)(219, 223)(220, 224)
f5: (146, 202)
g5: (151, 207)
h5: (119, 175)
m5: (168, 224)
n6: (152, 208)

(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[ 224, 33 ]
224
-1 121 177 113 169
-2 122 178 113 169
-3 113 169 161 217
-4 165 221 113 169
-5 123 179 114 170
-6 124 114 180 170
-7 114 170 161 217
-8 165 221 114 170
-9 125 115 181 171
-10 115 126 171 182
-11 115 171 162 218
-12 166 222 115 171
-13 116 127 172 183
-14 116 128 172 184
-15 116 172 162 218
-16 166 222 116 172
-17 121 177 117 173
-18 122 178 117 173
-19 117 173 163 219
-20 167 223 117 173
-21 123 179 118 174
-22 124 180 118 174
-23 118 163 174 219
-24 167 223 118 174
-25 125 181 119 175
-26 126 182 119 175
-27 220 119 164 175
-28 168 224 119 175
-29 176 127 183 120
-30 176 128 184 120
-31 176 220 120 164
-32 176 168 224 120
-33 121 177 129 185
-34 121 177 130 186
-35 187 122 178 131
-36 132 122 188 178
-37 133 123 189 179
-38 123 134 179 190
-39 124 135 180 191
-40 124 136 180 192
-41 125 181 129 185
-42 125 181 130 186
-43 187 126 182 131
-44 132 188 126 182
-45 133 189 127 183
-46 134 190 127 183
-47 135 191 128 184
-48 136 192 128 184
-49 137 193 129 185
-50 138 194 129 185
-51 139 195 130 186
-52 140 130 196 186
-53 187 141 131 197
-54 187 198 131 142
-55 132 143 188 199
-56 132 144 188 200
-57 133 189 137 193
-58 133 189 138 194
-59 134 190 139 195
-60 134 190 140 196
-61 135 191 141 197
-62 198 135 191 142
-63 143 199 136 192
-64 144 200 136 192
-65 145 201 137 193
-66 146 202 137 193
-67 147 203 138 194
-68 148 138 204 194
-69 149 139 205 195
-70 139 150 195 206
-71 140 151 196 207
-72 140 152 196 208
-73 145 201 141 197
-74 146 202 141 197
-75 198 147 203 142
-76 198 148 204 142
-77 143 199 149 205
-78 143 199 150 206
-79 144 200 151 207
-80 144 200 152 208
-81 209 145 201 153
-82 154 210 145 201
-83 155 211 146 202
-84 156 146 212 202
-85 157 147 213 203
-86 147 158 203 214
-87 148 159 204 215
-88 148 160 204 216
-89 209 149 205 153
-90 154 210 149 205
-91 155 211 150 206
-92 156 212 150 206
-93 157 213 151 207
-94 158 214 151 207
-95 159 215 152 208
-96 160 216 152 208
-97 209 161 217 153
-98 209 162 218 153
-99 154 210 163 219
-100 154 220 210 164
-101 165 155 221 211
-102 155 166 211 222
-103 156 167 212 223
-104 156 168 212 224
-105 157 213 161 217
-106 157 213 162 218
-107 158 214 163 219
-108 220 158 214 164
-109 165 221 159 215
-110 166 222 159 215
-111 167 223 160 216
-112 168 224 160 216
-113 1 2 3 4
-114 5 6 7 8
-115 11 12 9 10
-116 13 14 15 16
-117 17 18 19 20
-118 22 23 24 21
-119 25 26 27 28
-120 29 30 31 32
-121 33 1 34 17
-122 2 35 36 18
-123 37 5 38 21
-124 22 6 39 40
-125 25 41 9 42
-126 44 26 10 43
-127 45 13 46 29
-128 14 47 48 30
-129 33 49 50 41
-130 34 51 52 42
-131 35 53 43 54
-132 44 55 56 36
-133 45 57 58 37
-134 46 59 38 60
-135 47 39 61 62
-136 48 40 63 64
-137 66 57 49 65
-138 67 68 58 50
-139 69 59 70 51
-140 60 71 72 52
-141 61 73 74 53
-142 62 75 54 76
-143 55 77 78 63
-144 56 79 80 64
-145 81 82 73 65
-146 66 83 84 74
-147 67 85 75 86
-148 88 68 76 87
-149 77 89 90 69
-150 78 91 70 92
-151 79 71 93 94
-152 80 72 95 96
-153 89 81 97 98
-154 99 100 90 82
-155 101 91 102 83
-156 92 103 104 84
-157 93 105 106 85
-158 94 107 86 108
-159 110 95 87 109
-160 88 111 112 96
-161 3 105 7 97
-162 11 15 106 98
-163 99 23 19 107
-164 100 27 31 108
-165 101 4 8 109
-166 110 12 102 16
-167 111 24 103 20
-168 112 104 28 32
-169 1 2 3 4
-170 5 6 7 8
-171 11 12 9 10
-172 13 14 15 16
-173 17 18 19 20
-174 22 23 24 21
-175 25 26 27 28
-176 29 30 31 32
-177 33 1 34 17
-178 2 35 36 18
-179 37 5 38 21
-180 22 6 39 40
-181 25 41 9 42
-182 44 26 10 43
-183 45 13 46 29
-184 14 47 48 30
-185 33 49 50 41
-186 34 51 52 42
-187 35 53 43 54
-188 44 55 56 36
-189 45 57 58 37
-190 46 59 38 60
-191 47 39 61 62
-192 48 40 63 64
-193 66 57 49 65
-194 67 68 58 50
-195 69 59 70 51
-196 60 71 72 52
-197 61 73 74 53
-198 62 75 54 76
-199 55 77 78 63
-200 56 79 80 64
-201 81 82 73 65
-202 66 83 84 74
-203 67 85 75 86
-204 88 68 76 87
-205 77 89 90 69
-206 78 91 70 92
-207 79 71 93 94
-208 80 72 95 96
-209 89 81 97 98
-210 99 100 90 82
-211 101 91 102 83
-212 92 103 104 84
-213 93 105 106 85
-214 94 107 86 108
-215 110 95 87 109
-216 88 111 112 96
-217 3 105 7 97
-218 11 15 106 98
-219 99 23 19 107
-220 100 27 31 108
-221 101 4 8 109
-222 110 12 102 16
-223 111 24 103 20
-224 112 104 28 32
0

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