C4graphGraph forms for C4 [ 456, 11 ] = PS(24,19;7)

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On this page are computer-accessible forms for the graph C4[ 456, 11 ] = PS(24,19;7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {76, 77} under the group generated by the following permutations:

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

(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[ 456, 11 ]
456
-1 38 446 449 21
-2 22 447 20 450
-3 451 23 448 21
-4 22 452 24 449
-5 23 453 25 450
-6 451 24 454 26
-7 452 25 455 27
-8 453 26 456 28
-9 454 27 29 438
-10 455 28 30 439
-11 440 456 29 31
-12 441 30 438 32
-13 33 442 31 439
-14 440 34 443 32
-15 33 441 35 444
-16 34 442 36 445
-17 35 443 37 446
-18 36 444 38 447
-19 37 445 448 20
-20 2 46 51 19
-21 1 3 47 52
-22 2 4 48 53
-23 3 5 49 54
-24 55 4 6 50
-25 56 5 7 51
-26 57 6 8 52
-27 39 7 9 53
-28 40 8 10 54
-29 11 55 41 9
-30 12 56 42 10
-31 11 13 57 43
-32 44 12 14 39
-33 45 13 15 40
-34 46 14 16 41
-35 47 15 17 42
-36 48 16 18 43
-37 44 49 17 19
-38 1 45 50 18
-39 66 69 27 32
-40 33 67 70 28
-41 34 68 71 29
-42 35 69 72 30
-43 36 70 73 31
-44 37 71 74 32
-45 33 38 72 75
-46 34 73 20 76
-47 35 58 74 21
-48 22 36 59 75
-49 23 37 60 76
-50 24 58 38 61
-51 25 59 62 20
-52 26 60 63 21
-53 22 27 61 64
-54 23 28 62 65
-55 66 24 29 63
-56 67 25 30 64
-57 68 26 31 65
-58 78 47 50 95
-59 77 79 48 51
-60 78 80 49 52
-61 79 81 50 53
-62 80 82 51 54
-63 55 81 83 52
-64 56 82 84 53
-65 57 83 85 54
-66 55 39 84 86
-67 56 40 85 87
-68 88 57 41 86
-69 89 39 42 87
-70 88 90 40 43
-71 44 89 91 41
-72 45 90 92 42
-73 46 91 93 43
-74 44 47 92 94
-75 45 48 93 95
-76 77 46 49 94
-77 59 103 108 76
-78 58 60 104 109
-79 110 59 61 105
-80 111 60 62 106
-81 112 61 63 107
-82 113 62 64 108
-83 114 63 65 109
-84 66 110 96 64
-85 67 111 97 65
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0

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