C4graphGraph forms for C4 [ 486, 5 ] = PS(18,27;2)

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 486, 5 ] = PS(18,27;2).

(I) Following is a form readable by MAGMA:

g:=Graph<486|{ {270, 271}, {53, 55}, {296, 298}, {297, 299}, {80, 84}, {81, 85}, {321, 325}, {322, 326}, {323, 327}, {160, 165}, {162, 167}, {402, 407}, {27, 28}, {456, 463}, {216, 223}, {161, 166}, {401, 406}, {101, 109}, {102, 110}, {103, 111}, {211, 218}, {455, 462}, {453, 460}, {215, 222}, {213, 220}, {180, 190}, {432, 442}, {181, 191}, {128, 139}, {454, 461}, {214, 221}, {210, 217}, {132, 143}, {368, 379}, {372, 383}, {403, 408}, {324, 328}, {129, 140}, {131, 142}, {240, 253}, {242, 255}, {369, 380}, {371, 382}, {404, 409}, {54, 56}, {240, 254}, {241, 255}, {130, 141}, {212, 219}, {241, 254}, {370, 381}, {405, 410}, {128, 144}, {129, 145}, {130, 146}, {131, 147}, {132, 148}, {133, 149}, {134, 150}, {135, 151}, {363, 379}, {364, 380}, {365, 381}, {366, 382}, {367, 383}, {174, 191}, {430, 447}, {428, 445}, {426, 443}, {424, 441}, {422, 439}, {420, 437}, {418, 435}, {416, 433}, {230, 244}, {238, 252}, {235, 249}, {234, 248}, {231, 245}, {239, 253}, {96, 115}, {429, 446}, {425, 442}, {421, 438}, {417, 434}, {235, 248}, {231, 244}, {173, 190}, {100, 119}, {104, 123}, {108, 127}, {239, 252}, {200, 220}, {459, 479}, {458, 478}, {457, 477}, {456, 476}, {451, 471}, {450, 470}, {449, 469}, {448, 468}, {203, 223}, {202, 222}, {201, 221}, {97, 116}, {238, 251}, {236, 249}, {99, 118}, {105, 124}, {107, 126}, {133, 144}, {135, 146}, {160, 182}, {431, 441}, {430, 440}, {423, 433}, {237, 251}, {236, 250}, {161, 183}, {384, 406}, {385, 407}, {392, 414}, {393, 415}, {64, 87}, {427, 444}, {419, 436}, {237, 250}, {72, 95}, {98, 117}, {106, 125}, {134, 145}, {320, 343}, {104, 112}, {105, 113}, {106, 114}, {107, 115}, {108, 116}, {32, 57}, {459, 466}, {457, 464}, {34, 59}, {36, 61}, {38, 63}, {65, 88}, {67, 90}, {69, 92}, {71, 94}, {288, 313}, {290, 315}, {292, 317}, {294, 319}, {321, 344}, {323, 346}, {4, 30}, {429, 439}, {428, 438}, {425, 435}, {424, 434}, {162, 184}, {5, 31}, {256, 282}, {257, 283}, {260, 286}, {261, 287}, {386, 408}, {387, 409}, {390, 412}, {391, 413}, {33, 58}, {458, 465}, {37, 62}, {66, 89}, {70, 93}, {289, 314}, {293, 318}, {322, 345}, {1, 29}, {455, 475}, {454, 474}, {453, 473}, {452, 472}, {199, 219}, {198, 218}, {197, 217}, {2, 30}, {3, 31}, {78, 82}, {79, 83}, {256, 284}, {257, 285}, {258, 286}, {259, 287}, {32, 61}, {234, 247}, {232, 245}, {34, 63}, {101, 120}, {103, 122}, {288, 317}, {290, 319}, {2, 28}, {427, 437}, {426, 436}, {233, 247}, {232, 246}, {3, 29}, {258, 284}, {259, 285}, {388, 410}, {389, 411}, {33, 62}, {423, 440}, {233, 246}, {35, 60}, {64, 95}, {68, 91}, {102, 121}, {289, 318}, {291, 316}, {320, 351}, {324, 347}, {136, 168}, {157, 189}, {156, 188}, {155, 187}, {154, 186}, {153, 185}, {152, 184}, {151, 183}, {150, 182}, {149, 181}, {148, 180}, {147, 179}, {146, 178}, {145, 177}, {144, 176}, {143, 175}, {142, 174}, {141, 173}, {140, 172}, {139, 171}, {137, 169}, {138, 170}, {384, 416}, {385, 417}, {386, 418}, {387, 419}, {388, 420}, {389, 421}, {390, 422}, {391, 423}, {392, 424}, {393, 425}, {394, 426}, {395, 427}, {396, 428}, {397, 429}, {398, 430}, {399, 431}, {400, 432}, {65, 96}, {67, 98}, {69, 100}, {71, 102}, {73, 104}, {75, 106}, {77, 108}, {192, 226}, {452, 486}, {449, 483}, {448, 482}, {209, 243}, {208, 242}, {205, 239}, {204, 238}, {201, 235}, {200, 234}, {197, 231}, {196, 230}, {193, 227}, {31, 60}, {66, 97}, {70, 101}, {74, 105}, {84, 119}, {88, 123}, {92, 127}, {271, 300}, {275, 304}, {279, 308}, {283, 312}, {287, 316}, {328, 363}, {332, 367}, {336, 371}, {340, 375}, {4, 32}, {5, 33}, {6, 34}, {7, 35}, {12, 40}, {13, 41}, {14, 42}, {15, 43}, {20, 48}, {21, 49}, {22, 50}, {23, 51}, {260, 288}, {261, 289}, {262, 290}, {263, 291}, {268, 296}, {269, 297}, {28, 57}, {410, 447}, {408, 445}, {30, 59}, {83, 118}, {89, 124}, {91, 126}, {276, 305}, {278, 307}, {284, 313}, {286, 315}, {329, 364}, {331, 366}, {337, 372}, {339, 374}, {6, 32}, {451, 485}, {450, 484}, {203, 237}, {202, 236}, {195, 229}, {194, 228}, {7, 33}, {14, 40}, {15, 41}, {22, 48}, {23, 49}, {262, 288}, {263, 289}, {270, 296}, {29, 58}, {409, 446}, {31, 56}, {68, 99}, {76, 107}, {82, 117}, {90, 125}, {277, 306}, {279, 304}, {285, 314}, {287, 312}, {330, 365}, {338, 373}, {30, 55}, {73, 96}, {75, 98}, {77, 100}, {79, 102}, {280, 305}, {282, 307}, {284, 309}, {286, 311}, {8, 34}, {159, 181}, {158, 180}, {155, 177}, {154, 176}, {143, 165}, {142, 164}, {9, 35}, {12, 38}, {13, 39}, {24, 50}, {25, 51}, {264, 290}, {265, 291}, {268, 294}, {269, 295}, {394, 416}, {395, 417}, {398, 420}, {399, 421}, {74, 97}, {407, 444}, {78, 101}, {281, 306}, {285, 310}, {8, 36}, {207, 227}, {206, 226}, {205, 225}, {204, 224}, {9, 37}, {10, 38}, {11, 39}, {24, 52}, {25, 53}, {26, 54}, {264, 292}, {265, 293}, {266, 294}, {267, 295}, {85, 120}, {87, 122}, {93, 112}, {95, 114}, {280, 309}, {282, 311}, {325, 360}, {327, 362}, {333, 352}, {335, 354}, {341, 376}, {343, 378}, {349, 368}, {351, 370}, {406, 443}, {10, 36}, {199, 233}, {198, 232}, {157, 179}, {156, 178}, {141, 163}, {11, 37}, {26, 52}, {27, 53}, {266, 292}, {267, 293}, {396, 418}, {397, 419}, {72, 103}, {192, 239}, {76, 99}, {86, 121}, {94, 113}, {281, 310}, {283, 308}, {326, 361}, {334, 353}, {342, 377}, {350, 369}, {136, 185}, {195, 242}, {193, 240}, {140, 189}, {138, 187}, {326, 372}, {327, 373}, {330, 376}, {331, 377}, {92, 111}, {194, 241}, {137, 186}, {336, 355}, {340, 359}, {344, 363}, {348, 367}, {208, 228}, {216, 236}, {211, 231}, {210, 230}, {209, 229}, {91, 110}, {337, 356}, {339, 358}, {345, 364}, {347, 366}, {144, 166}, {153, 175}, {152, 174}, {145, 167}, {325, 371}, {332, 378}, {400, 422}, {401, 423}, {1, 54}, {196, 243}, {139, 188}, {80, 103}, {90, 109}, {338, 357}, {346, 365}, {344, 352}, {345, 353}, {346, 354}, {347, 355}, {348, 356}, {349, 357}, {350, 358}, {351, 359}, {81, 104}, {274, 299}, {276, 301}, {278, 303}, {16, 42}, {151, 173}, {150, 172}, {147, 169}, {146, 168}, {17, 43}, {20, 46}, {21, 47}, {402, 424}, {403, 425}, {159, 164}, {273, 298}, {277, 302}, {16, 44}, {215, 235}, {214, 234}, {213, 233}, {212, 232}, {17, 45}, {18, 46}, {19, 47}, {158, 163}, {272, 301}, {274, 303}, {333, 368}, {335, 370}, {341, 360}, {343, 362}, {18, 44}, {207, 241}, {206, 240}, {149, 171}, {148, 170}, {19, 45}, {328, 374}, {329, 375}, {404, 426}, {405, 427}, {273, 302}, {275, 300}, {334, 369}, {342, 361}, {28, 80}, {29, 81}, {271, 323}, {191, 238}, {439, 486}, {437, 484}, {435, 482}, {433, 480}, {56, 106}, {57, 107}, {190, 237}, {438, 485}, {434, 481}, {272, 324}, {415, 459}, {414, 458}, {413, 457}, {412, 456}, {407, 451}, {406, 450}, {58, 108}, {436, 483}, {411, 448}, {415, 452}, {408, 452}, {411, 455}, {410, 454}, {409, 453}, {412, 449}, {414, 451}, {55, 105}, {447, 481}, {446, 480}, {191, 225}, {190, 224}, {413, 450}, {55, 86}, {57, 88}, {59, 90}, {61, 92}, {63, 94}, {299, 330}, {301, 332}, {303, 334}, {305, 336}, {307, 338}, {309, 340}, {311, 342}, {313, 344}, {315, 346}, {317, 348}, {319, 350}, {433, 467}, {445, 479}, {444, 478}, {441, 475}, {440, 474}, {437, 471}, {436, 470}, {35, 64}, {39, 68}, {43, 72}, {47, 76}, {51, 80}, {58, 89}, {62, 93}, {291, 320}, {295, 324}, {298, 329}, {302, 333}, {306, 337}, {310, 341}, {314, 345}, {318, 349}, {36, 65}, {418, 455}, {416, 453}, {178, 215}, {176, 213}, {170, 207}, {168, 205}, {38, 67}, {44, 73}, {46, 75}, {52, 81}, {292, 321}, {294, 323}, {434, 468}, {443, 477}, {442, 476}, {435, 469}, {37, 66}, {417, 454}, {177, 214}, {169, 206}, {39, 64}, {45, 74}, {47, 72}, {60, 91}, {293, 322}, {295, 320}, {300, 331}, {308, 339}, {316, 347}, {40, 65}, {42, 67}, {44, 69}, {46, 71}, {59, 82}, {61, 84}, {63, 86}, {296, 321}, {303, 326}, {313, 336}, {315, 338}, {317, 340}, {319, 342}, {41, 66}, {419, 456}, {179, 216}, {167, 204}, {163, 200}, {45, 70}, {62, 85}, {297, 322}, {302, 325}, {314, 337}, {318, 341}, {163, 207}, {447, 467}, {446, 466}, {445, 465}, {444, 464}, {40, 69}, {422, 459}, {420, 457}, {166, 203}, {164, 201}, {42, 71}, {438, 472}, {439, 473}, {41, 70}, {431, 448}, {421, 458}, {175, 192}, {165, 202}, {43, 68}, {56, 87}, {60, 83}, {312, 343}, {316, 339}, {176, 193}, {432, 449}, {188, 205}, {186, 203}, {184, 201}, {182, 199}, {180, 197}, {178, 195}, {300, 350}, {301, 351}, {177, 194}, {189, 206}, {185, 202}, {181, 198}, {164, 208}, {443, 463}, {442, 462}, {441, 461}, {440, 460}, {172, 216}, {167, 211}, {166, 210}, {165, 209}, {182, 192}, {183, 193}, {298, 348}, {299, 349}, {179, 196}, {187, 204}, {304, 327}, {312, 335}, {48, 73}, {50, 75}, {52, 77}, {54, 79}, {305, 328}, {307, 330}, {309, 332}, {311, 334}, {184, 194}, {189, 199}, {188, 198}, {185, 195}, {49, 74}, {175, 212}, {171, 208}, {53, 78}, {306, 329}, {310, 333}, {168, 212}, {171, 215}, {170, 214}, {169, 213}, {48, 77}, {174, 211}, {172, 209}, {50, 79}, {186, 196}, {187, 197}, {49, 78}, {183, 200}, {173, 210}, {51, 76}, {304, 335}, {308, 331}, {383, 432}, {380, 429}, {382, 431}, {82, 128}, {83, 129}, {86, 132}, {87, 133}, {381, 430}, {117, 160}, {119, 162}, {84, 130}, {85, 131}, {118, 161}, {379, 428}, {122, 160}, {123, 161}, {93, 128}, {95, 130}, {88, 134}, {89, 135}, {124, 162}, {94, 129}, {379, 411}, {380, 412}, {381, 413}, {382, 414}, {383, 415}, {96, 131}, {100, 135}, {97, 132}, {99, 134}, {112, 150}, {113, 151}, {120, 158}, {121, 159}, {352, 390}, {353, 391}, {360, 398}, {361, 399}, {98, 133}, {114, 152}, {115, 153}, {118, 156}, {119, 157}, {354, 392}, {355, 393}, {358, 396}, {359, 397}, {112, 155}, {116, 159}, {352, 395}, {356, 399}, {113, 156}, {115, 158}, {353, 396}, {355, 398}, {116, 154}, {117, 155}, {356, 394}, {357, 395}, {114, 157}, {354, 397}, {120, 136}, {121, 137}, {122, 138}, {123, 139}, {124, 140}, {125, 141}, {126, 142}, {127, 143}, {368, 384}, {369, 385}, {370, 386}, {371, 387}, {372, 388}, {373, 389}, {374, 390}, {375, 391}, {376, 392}, {377, 393}, {378, 394}, {109, 152}, {111, 154}, {125, 136}, {127, 138}, {357, 400}, {359, 402}, {373, 384}, {375, 386}, {110, 153}, {126, 137}, {358, 401}, {374, 385}, {110, 148}, {111, 149}, {362, 400}, {363, 401}, {366, 404}, {367, 405}, {360, 403}, {376, 387}, {361, 404}, {377, 388}, {109, 147}, {364, 402}, {365, 403}, {362, 405}, {378, 389}, {14, 460}, {15, 461}, {18, 464}, {19, 465}, {22, 468}, {23, 469}, {26, 472}, {27, 473}, {15, 460}, {19, 464}, {23, 468}, {27, 472}, {20, 465}, {22, 467}, {20, 466}, {21, 467}, {21, 466}, {24, 469}, {26, 471}, {24, 470}, {25, 471}, {25, 470}, {223, 264}, {1, 473}, {223, 263}, {222, 262}, {221, 261}, {220, 260}, {219, 259}, {218, 258}, {217, 257}, {2, 474}, {3, 475}, {4, 476}, {5, 477}, {6, 478}, {7, 479}, {2, 475}, {222, 263}, {220, 261}, {218, 259}, {4, 477}, {6, 479}, {1, 474}, {221, 262}, {217, 258}, {5, 478}, {16, 461}, {18, 463}, {244, 297}, {16, 462}, {17, 463}, {3, 476}, {219, 260}, {17, 462}, {244, 272}, {245, 273}, {246, 274}, {247, 275}, {252, 280}, {253, 281}, {254, 282}, {255, 283}, {246, 272}, {247, 273}, {254, 280}, {255, 281}, {7, 480}, {8, 480}, {230, 270}, {229, 269}, {228, 268}, {227, 267}, {226, 266}, {225, 265}, {224, 264}, {9, 481}, {10, 482}, {11, 483}, {12, 484}, {13, 485}, {14, 486}, {8, 481}, {228, 269}, {226, 267}, {224, 265}, {10, 483}, {12, 485}, {248, 274}, {249, 275}, {252, 278}, {253, 279}, {9, 482}, {229, 270}, {225, 266}, {13, 486}, {248, 276}, {249, 277}, {250, 278}, {251, 279}, {250, 276}, {251, 277}, {11, 484}, {227, 268}, {242, 256}, {243, 257}, {243, 256}, {245, 271} }>;

(II) A more general form is to represent the graph as the orbit of {270, 271} under the group generated by the following permutations:

a: (2, 27)(3, 26)(4, 25)(5, 24)(6, 23)(7, 22)(8, 21)(9, 20)(10, 19)(11, 18)(12, 17)(13, 16)(14, 15)(29, 54)(30, 53)(31, 52)(32, 51)(33, 50)(34, 49)(35, 48)(36, 47)(37, 46)(38, 45)(39, 44)(40, 43)(41, 42)(56, 81)(57, 80)(58, 79)(59, 78)(60, 77)(61, 76)(62, 75)(63, 74)(64, 73)(65, 72)(66, 71)(67, 70)(68, 69)(83, 108)(84, 107)(85, 106)(86, 105)(87, 104)(88, 103)(89, 102)(90, 101)(91, 100)(92, 99)(93, 98)(94, 97)(95, 96)(110, 135)(111, 134)(112, 133)(113, 132)(114, 131)(115, 130)(116, 129)(117, 128)(118, 127)(119, 126)(120, 125)(121, 124)(122, 123)(137, 162)(138, 161)(139, 160)(140, 159)(141, 158)(142, 157)(143, 156)(144, 155)(145, 154)(146, 153)(147, 152)(148, 151)(149, 150)(164, 189)(165, 188)(166, 187)(167, 186)(168, 185)(169, 184)(170, 183)(171, 182)(172, 181)(173, 180)(174, 179)(175, 178)(176, 177)(191, 216)(192, 215)(193, 214)(194, 213)(195, 212)(196, 211)(197, 210)(198, 209)(199, 208)(200, 207)(201, 206)(202, 205)(203, 204)(218, 243)(219, 242)(220, 241)(221, 240)(222, 239)(223, 238)(224, 237)(225, 236)(226, 235)(227, 234)(228, 233)(229, 232)(230, 231)(245, 270)(246, 269)(247, 268)(248, 267)(249, 266)(250, 265)(251, 264)(252, 263)(253, 262)(254, 261)(255, 260)(256, 259)(257, 258)(272, 297)(273, 296)(274, 295)(275, 294)(276, 293)(277, 292)(278, 291)(279, 290)(280, 289)(281, 288)(282, 287)(283, 286)(284, 285)(299, 324)(300, 323)(301, 322)(302, 321)(303, 320)(304, 319)(305, 318)(306, 317)(307, 316)(308, 315)(309, 314)(310, 313)(311, 312)(326, 351)(327, 350)(328, 349)(329, 348)(330, 347)(331, 346)(332, 345)(333, 344)(334, 343)(335, 342)(336, 341)(337, 340)(338, 339)(353, 378)(354, 377)(355, 376)(356, 375)(357, 374)(358, 373)(359, 372)(360, 371)(361, 370)(362, 369)(363, 368)(364, 367)(365, 366)(380, 405)(381, 404)(382, 403)(383, 402)(384, 401)(385, 400)(386, 399)(387, 398)(388, 397)(389, 396)(390, 395)(391, 394)(392, 393)(407, 432)(408, 431)(409, 430)(410, 429)(411, 428)(412, 427)(413, 426)(414, 425)(415, 424)(416, 423)(417, 422)(418, 421)(419, 420)(434, 459)(435, 458)(436, 457)(437, 456)(438, 455)(439, 454)(440, 453)(441, 452)(442, 451)(443, 450)(444, 449)(445, 448)(446, 447)(461, 486)(462, 485)(463, 484)(464, 483)(465, 482)(466, 481)(467, 480)(468, 479)(469, 478)(470, 477)(471, 476)(472, 475)(473, 474)
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, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243)(244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270)(271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297)(298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324)(325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351)(352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378)(379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405)(406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432)(433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459)(460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486)
c: (1, 28, 55, 82, 109, 136, 163, 190, 217, 244, 271, 298, 325, 352, 379, 406, 433, 460)(2, 53, 59, 101, 125, 158, 173, 197, 230, 245, 296, 302, 344, 368, 401, 416, 440, 473)(3, 51, 63, 93, 114, 153, 183, 204, 243, 246, 294, 306, 336, 357, 396, 426, 447, 486)(4, 49, 67, 85, 130, 148, 166, 211, 229, 247, 292, 310, 328, 373, 391, 409, 454, 472)(5, 47, 71, 104, 119, 143, 176, 191, 242, 248, 290, 314, 347, 362, 386, 419, 434, 485)(6, 45, 75, 96, 135, 138, 186, 198, 228, 249, 288, 318, 339, 378, 381, 429, 441, 471)(7, 43, 79, 88, 124, 160, 169, 205, 241, 250, 286, 322, 331, 367, 403, 412, 448, 484)(8, 41, 56, 107, 113, 155, 179, 212, 227, 251, 284, 299, 350, 356, 398, 422, 455, 470)(9, 39, 60, 99, 129, 150, 189, 192, 240, 252, 282, 303, 342, 372, 393, 432, 435, 483)(10, 37, 64, 91, 118, 145, 172, 199, 226, 253, 280, 307, 334, 361, 388, 415, 442, 469)(11, 35, 68, 83, 134, 140, 182, 206, 239, 254, 278, 311, 326, 377, 383, 425, 449, 482)(12, 33, 72, 102, 123, 162, 165, 213, 225, 255, 276, 315, 345, 366, 405, 408, 456, 468)(13, 31, 76, 94, 112, 157, 175, 193, 238, 256, 274, 319, 337, 355, 400, 418, 436, 481)(14, 29, 80, 86, 128, 152, 185, 200, 224, 257, 272, 323, 329, 371, 395, 428, 443, 467)(15, 54, 57, 105, 117, 147, 168, 207, 237, 258, 297, 300, 348, 360, 390, 411, 450, 480)(16, 52, 61, 97, 133, 142, 178, 214, 223, 259, 295, 304, 340, 376, 385, 421, 457, 466)(17, 50, 65, 89, 122, 137, 188, 194, 236, 260, 293, 308, 332, 365, 380, 431, 437, 479)(18, 48, 69, 108, 111, 159, 171, 201, 222, 261, 291, 312, 351, 354, 402, 414, 444, 465)(19, 46, 73, 100, 127, 154, 181, 208, 235, 262, 289, 316, 343, 370, 397, 424, 451, 478)(20, 44, 77, 92, 116, 149, 164, 215, 221, 263, 287, 320, 335, 359, 392, 407, 458, 464)(21, 42, 81, 84, 132, 144, 174, 195, 234, 264, 285, 324, 327, 375, 387, 417, 438, 477)(22, 40, 58, 103, 121, 139, 184, 202, 220, 265, 283, 301, 346, 364, 382, 427, 445, 463)(23, 38, 62, 95, 110, 161, 167, 209, 233, 266, 281, 305, 338, 353, 404, 410, 452, 476)(24, 36, 66, 87, 126, 156, 177, 216, 219, 267, 279, 309, 330, 369, 399, 420, 459, 462)(25, 34, 70, 106, 115, 151, 187, 196, 232, 268, 277, 313, 349, 358, 394, 430, 439, 475)(26, 32, 74, 98, 131, 146, 170, 203, 218, 269, 275, 317, 341, 374, 389, 413, 446, 461)(27, 30, 78, 90, 120, 141, 180, 210, 231, 270, 273, 321, 333, 363, 384, 423, 453, 474)

(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.

**************

&Graph
C4[ 486, 5 ]
486
-1 473 474 29 54
-2 474 475 28 30
-3 475 476 29 31
-4 476 477 30 32
-5 33 477 478 31
-6 34 478 479 32
-7 33 35 479 480
-8 34 36 480 481
-9 35 37 481 482
-10 36 38 482 483
-11 484 37 39 483
-12 484 485 38 40
-13 485 486 39 41
-14 486 40 42 460
-15 41 460 43 461
-16 44 462 42 461
-17 462 45 463 43
-18 44 463 46 464
-19 45 464 47 465
-20 46 465 48 466
-21 47 466 49 467
-22 48 467 50 468
-23 49 468 51 469
-24 50 469 52 470
-25 51 470 53 471
-26 52 471 54 472
-27 473 28 53 472
-28 2 57 80 27
-29 1 3 58 81
-30 55 2 4 59
-31 56 3 5 60
-32 57 4 6 61
-33 58 5 7 62
-34 59 6 8 63
-35 60 7 9 64
-36 61 8 10 65
-37 11 66 62 9
-38 12 67 63 10
-39 11 13 68 64
-40 12 14 69 65
-41 66 13 15 70
-42 67 14 16 71
-43 68 15 17 72
-44 69 16 18 73
-45 70 17 19 74
-46 71 18 20 75
-47 72 19 21 76
-48 22 77 73 20
-49 23 78 74 21
-50 22 24 79 75
-51 23 25 80 76
-52 77 24 26 81
-53 55 78 25 27
-54 1 56 79 26
-55 105 30 53 86
-56 106 31 54 87
-57 88 28 107 32
-58 33 89 29 108
-59 34 90 82 30
-60 35 91 83 31
-61 36 92 84 32
-62 33 37 93 85
-63 34 38 94 86
-64 35 39 95 87
-65 88 36 40 96
-66 89 37 41 97
-67 90 38 42 98
-68 99 91 39 43
-69 44 100 92 40
-70 45 101 93 41
-71 46 102 94 42
-72 47 103 95 43
-73 44 48 104 96
-74 45 49 105 97
-75 46 50 106 98
-76 99 47 51 107
-77 100 48 52 108
-78 101 49 82 53
-79 102 50 83 54
-80 103 28 51 84
-81 104 29 52 85
-82 78 59 117 128
-83 79 60 118 129
-84 80 61 119 130
-85 81 62 120 131
-86 55 121 132 63
-87 56 122 133 64
-88 57 123 134 65
-89 66 58 124 135
-90 67 59 125 109
-91 110 68 60 126
-92 111 69 61 127
-93 112 70 62 128
-94 113 71 63 129
-95 114 72 64 130
-96 115 73 65 131
-97 66 132 116 74
-98 67 133 117 75
-99 68 134 118 76
-100 77 69 135 119
-101 78 70 109 120
-102 110 121 79 71
-103 111 122 80 72
-104 112 123 81 73
-105 55 113 124 74
-106 56 114 125 75
-107 57 115 126 76
-108 77 58 116 127
-109 90 101 147 152
-110 91 102 148 153
-111 154 92 103 149
-112 155 93 104 150
-113 156 94 105 151
-114 157 95 106 152
-115 158 96 107 153
-116 154 159 97 108
-117 155 82 160 98
-118 99 156 83 161
-119 100 157 84 162
-120 101 136 158 85
-121 102 137 159 86
-122 103 138 160 87
-123 88 104 139 161
-124 89 105 140 162
-125 90 136 106 141
-126 91 137 107 142
-127 143 92 138 108
-128 144 82 93 139
-129 145 83 94 140
-130 146 84 95 141
-131 147 85 96 142
-132 143 148 86 97
-133 144 149 87 98
-134 88 99 145 150
-135 89 100 146 151
-136 168 125 185 120
-137 121 169 126 186
-138 187 122 170 127
-139 188 123 171 128
-140 189 124 172 129
-141 125 173 130 163
-142 126 174 131 164
-143 132 165 127 175
-144 176 133 166 128
-145 177 134 167 129
-146 178 135 168 130
-147 179 169 109 131
-148 110 132 180 170
-149 111 133 181 171
-150 112 134 182 172
-151 113 135 183 173
-152 114 184 174 109
-153 110 115 185 175
-154 176 111 116 186
-155 187 177 112 117
-156 188 178 113 118
-157 189 179 114 119
-158 180 115 163 120
-159 121 181 116 164
-160 165 122 182 117
-161 166 123 183 118
-162 167 124 184 119
-163 200 158 141 207
-164 201 159 142 208
-165 143 209 202 160
-166 144 210 203 161
-167 145 211 204 162
-168 146 212 136 205
-169 147 213 137 206
-170 148 214 138 207
-171 149 215 139 208
-172 209 150 216 140
-173 210 190 151 141
-174 211 191 152 142
-175 143 212 192 153
-176 154 144 213 193
-177 155 145 214 194
-178 156 146 215 195
-179 157 147 216 196
-180 190 158 148 197
-181 198 191 159 149
-182 199 192 160 150
-183 200 193 161 151
-184 201 194 162 152
-185 136 202 195 153
-186 154 137 203 196
-187 155 138 204 197
-188 198 156 139 205
-189 199 157 140 206
-190 180 224 237 173
-191 181 225 238 174
-192 182 226 239 175
-193 176 183 227 240
-194 177 184 228 241
-195 242 178 185 229
-196 243 179 186 230
-197 187 231 180 217
-198 188 232 181 218
-199 189 233 182 219
-200 220 234 183 163
-201 221 235 184 164
-202 165 222 236 185
-203 166 223 237 186
-204 187 167 224 238
-205 188 168 225 239
-206 189 169 226 240
-207 170 227 163 241
-208 242 171 228 164
-209 165 243 172 229
-210 166 173 217 230
-211 231 167 174 218
-212 232 168 175 219
-213 176 220 233 169
-214 177 221 234 170
-215 178 222 235 171
-216 179 223 236 172
-217 210 257 258 197
-218 198 211 258 259
-219 199 212 259 260
-220 200 213 260 261
-221 201 214 261 262
-222 202 215 262 263
-223 264 203 216 263
-224 264 265 190 204
-225 265 266 191 205
-226 266 267 192 206
-227 267 268 193 207
-228 268 269 194 208
-229 209 269 270 195
-230 210 244 270 196
-231 211 244 245 197
-232 198 212 245 246
-233 199 213 246 247
-234 200 214 247 248
-235 201 215 248 249
-236 202 216 249 250
-237 190 203 250 251
-238 191 204 251 252
-239 253 192 205 252
-240 253 254 193 206
-241 254 255 194 207
-242 255 256 195 208
-243 209 256 257 196
-244 231 297 272 230
-245 231 232 271 273
-246 232 233 272 274
-247 275 233 234 273
-248 276 234 235 274
-249 275 277 235 236
-250 276 278 236 237
-251 277 279 237 238
-252 278 280 238 239
-253 279 281 239 240
-254 280 282 240 241
-255 242 281 283 241
-256 242 243 282 284
-257 243 217 283 285
-258 286 217 218 284
-259 287 218 219 285
-260 220 286 288 219
-261 220 221 287 289
-262 221 222 288 290
-263 222 223 289 291
-264 223 224 290 292
-265 224 225 291 293
-266 225 226 292 294
-267 226 227 293 295
-268 227 228 294 296
-269 297 228 229 295
-270 271 229 230 296
-271 245 300 323 270
-272 244 246 301 324
-273 298 245 247 302
-274 299 246 248 303
-275 300 247 249 304
-276 301 248 250 305
-277 302 249 251 306
-278 303 250 252 307
-279 253 308 304 251
-280 254 309 305 252
-281 253 255 310 306
-282 254 256 311 307
-283 308 255 257 312
-284 309 256 258 313
-285 310 257 259 314
-286 311 258 260 315
-287 312 259 261 316
-288 313 260 262 317
-289 314 261 263 318
-290 264 319 315 262
-291 265 320 316 263
-292 264 266 321 317
-293 265 267 322 318
-294 319 266 268 323
-295 320 267 269 324
-296 298 321 268 270
-297 244 299 322 269
-298 348 273 296 329
-299 297 330 349 274
-300 275 331 271 350
-301 276 332 272 351
-302 277 333 325 273
-303 278 334 326 274
-304 275 279 335 327
-305 276 280 336 328
-306 277 281 337 329
-307 330 278 282 338
-308 331 279 283 339
-309 332 280 284 340
-310 341 333 281 285
-311 286 342 334 282
-312 287 343 335 283
-313 288 344 336 284
-314 289 345 337 285
-315 286 290 346 338
-316 287 291 347 339
-317 288 292 348 340
-318 341 289 293 349
-319 342 290 294 350
-320 343 291 295 351
-321 344 292 325 296
-322 297 345 293 326
-323 346 271 294 327
-324 347 272 295 328
-325 321 302 360 371
-326 322 303 361 372
-327 323 304 362 373
-328 363 374 324 305
-329 298 364 375 306
-330 299 365 376 307
-331 308 300 366 377
-332 309 301 367 378
-333 352 310 302 368
-334 353 311 303 369
-335 354 312 304 370
-336 355 313 305 371
-337 356 314 306 372
-338 357 315 307 373
-339 308 374 358 316
-340 309 375 359 317
-341 310 376 360 318
-342 319 311 377 361
-343 320 312 378 362
-344 352 363 321 313
-345 353 364 322 314
-346 354 365 323 315
-347 355 366 324 316
-348 298 356 367 317
-349 299 357 368 318
-350 319 300 358 369
-351 320 301 359 370
-352 333 344 390 395
-353 396 334 345 391
-354 397 335 346 392
-355 398 336 347 393
-356 399 337 348 394
-357 400 338 349 395
-358 396 401 339 350
-359 397 402 340 351
-360 341 398 325 403
-361 342 399 326 404
-362 343 400 327 405
-363 344 379 401 328
-364 345 380 402 329
-365 330 346 381 403
-366 331 347 382 404
-367 332 348 383 405
-368 333 379 349 384
-369 385 334 380 350
-370 386 335 381 351
-371 387 325 336 382
-372 388 326 337 383
-373 389 327 338 384
-374 385 390 328 339
-375 386 391 329 340
-376 330 341 387 392
-377 331 342 388 393
-378 332 343 389 394
-379 363 411 368 428
-380 429 364 412 369
-381 430 365 413 370
-382 431 366 414 371
-383 432 367 415 372
-384 368 416 373 406
-385 374 407 369 417
-386 418 375 408 370
-387 419 376 409 371
-388 420 377 410 372
-389 421 378 411 373
-390 352 374 422 412
-391 353 375 423 413
-392 354 376 424 414
-393 355 377 425 415
-394 356 378 426 416
-395 352 357 427 417
-396 418 353 358 428
-397 429 419 354 359
-398 430 420 355 360
-399 431 421 356 361
-400 432 422 357 362
-401 363 423 358 406
-402 407 364 424 359
-403 408 365 425 360
-404 409 366 426 361
-405 410 367 427 362
-406 443 401 384 450
-407 385 451 444 402
-408 386 452 445 403
-409 387 453 446 404
-410 388 454 447 405
-411 389 455 379 448
-412 390 456 380 449
-413 391 457 381 450
-414 451 392 458 382
-415 452 393 459 383
-416 453 433 394 384
-417 385 454 434 395
-418 396 386 455 435
-419 397 387 456 436
-420 398 388 457 437
-421 399 389 458 438
-422 400 390 459 439
-423 440 433 401 391
-424 441 434 402 392
-425 442 435 403 393
-426 443 436 404 394
-427 444 437 405 395
-428 396 379 445 438
-429 397 380 446 439
-430 440 398 381 447
-431 441 399 382 448
-432 442 400 383 449
-433 423 467 480 416
-434 424 468 481 417
-435 418 425 469 482
-436 419 426 470 483
-437 484 420 427 471
-438 485 421 428 472
-439 429 473 486 422
-440 430 474 423 460
-441 431 475 424 461
-442 462 432 476 425
-443 463 477 426 406
-444 407 464 478 427
-445 408 465 479 428
-446 429 409 466 480
-447 430 410 467 481
-448 431 411 468 482
-449 432 412 469 483
-450 484 413 470 406
-451 407 485 414 471
-452 408 486 415 472
-453 473 409 416 460
-454 474 410 417 461
-455 418 462 475 411
-456 419 463 476 412
-457 420 464 477 413
-458 421 465 478 414
-459 422 466 479 415
-460 440 453 14 15
-461 441 454 15 16
-462 442 455 16 17
-463 443 456 17 18
-464 444 457 18 19
-465 445 458 19 20
-466 446 459 20 21
-467 22 433 447 21
-468 22 23 434 448
-469 23 24 435 449
-470 24 25 436 450
-471 451 25 26 437
-472 452 26 27 438
-473 1 453 27 439
-474 440 1 2 454
-475 441 2 3 455
-476 442 3 4 456
-477 443 4 5 457
-478 444 5 6 458
-479 445 6 7 459
-480 433 446 7 8
-481 434 447 8 9
-482 435 448 9 10
-483 11 436 449 10
-484 11 12 437 450
-485 451 12 13 438
-486 452 13 14 439
0

**************