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On this page are computer-accessible forms for the graph C4[ 96, 10 ] = PS(8,24;5).

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {24, 27}, {48, 51}, {72, 75}, {16, 26}, {17, 27}, {20, 30}, {21, 31}, {48, 58}, {64, 74}, {65, 75}, {68, 78}, {69, 79}, {4, 15}, {84, 95}, {36, 47}, {32, 43}, {52, 63}, {80, 91}, {1, 13}, {83, 95}, {82, 94}, {35, 47}, {34, 46}, {33, 45}, {32, 44}, {2, 14}, {3, 15}, {49, 61}, {50, 62}, {51, 63}, {80, 92}, {81, 93}, {3, 14}, {83, 94}, {35, 46}, {33, 44}, {23, 26}, {51, 62}, {71, 74}, {81, 92}, {18, 28}, {19, 29}, {66, 76}, {67, 77}, {2, 13}, {82, 93}, {34, 45}, {16, 31}, {22, 25}, {50, 61}, {64, 79}, {70, 73}, {13, 28}, {45, 60}, {43, 58}, {41, 56}, {39, 54}, {37, 52}, {15, 30}, {65, 80}, {67, 82}, {69, 84}, {14, 29}, {42, 57}, {38, 53}, {66, 81}, {4, 16}, {36, 48}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {76, 88}, {77, 89}, {78, 90}, {79, 91}, {5, 16}, {7, 18}, {77, 88}, {79, 90}, {15, 25}, {47, 57}, {46, 56}, {39, 49}, {70, 80}, {71, 81}, {6, 17}, {44, 59}, {68, 83}, {78, 89}, {1, 24}, {38, 60}, {45, 55}, {44, 54}, {41, 51}, {40, 50}, {72, 82}, {8, 19}, {12, 23}, {76, 87}, {8, 20}, {9, 21}, {10, 22}, {11, 23}, {73, 85}, {74, 86}, {75, 87}, {9, 20}, {47, 50}, {11, 22}, {75, 86}, {37, 59}, {43, 53}, {42, 52}, {10, 21}, {46, 49}, {40, 55}, {74, 85}, {25, 48}, {73, 96}, {14, 36}, {13, 35}, {17, 32}, {19, 34}, {21, 36}, {18, 33}, {28, 40}, {84, 96}, {31, 43}, {29, 41}, {30, 42}, {29, 40}, {31, 42}, {22, 32}, {23, 33}, {20, 35}, {30, 41}, {24, 34}, {28, 39}, {25, 37}, {26, 38}, {27, 39}, {27, 38}, {26, 37}, {4, 85}, {6, 87}, {8, 89}, {10, 91}, {12, 93}, {5, 86}, {9, 90}, {1, 87}, {8, 94}, {9, 95}, {11, 92}, {2, 88}, {3, 89}, {6, 92}, {7, 93}, {12, 86}, {2, 95}, {4, 90}, {5, 91}, {11, 85}, {1, 94}, {7, 88}, {3, 96}, {10, 96}, {62, 84}, {61, 83}, {61, 76}, {63, 78}, {62, 77}, {52, 64}, {53, 65}, {54, 66}, {55, 67}, {60, 72}, {53, 64}, {55, 66}, {63, 73}, {54, 65}, {49, 72}, {56, 67}, {60, 71}, {56, 68}, {57, 69}, {58, 70}, {59, 71}, {57, 68}, {59, 70}, {58, 69} }>;

(II) A more general form is to represent the graph as the orbit of {24, 27} 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)
b: (2, 83)(3, 57)(4, 31)(6, 75)(7, 49)(8, 35)(10, 79)(11, 53)(12, 27)(13, 94)(14, 68)(15, 42)(17, 86)(18, 72)(19, 46)(21, 90)(22, 64)(23, 38)(25, 52)(28, 82)(29, 56)(32, 74)(33, 60)(36, 78)(39, 93)(40, 67)(43, 85)(44, 71)(47, 89)(48, 63)(50, 77)(54, 81)(58, 73)(61, 88)(65, 92)(69, 96)
c: (1, 13, 2, 14, 3, 15, 4, 16, 5, 17, 6, 18, 7, 19, 8, 20, 9, 21, 10, 22, 11, 23, 12, 24)(25, 85, 26, 86, 27, 87, 28, 88, 29, 89, 30, 90, 31, 91, 32, 92, 33, 93, 34, 94, 35, 95, 36, 96)(37, 74, 38, 75, 39, 76, 40, 77, 41, 78, 42, 79, 43, 80, 44, 81, 45, 82, 46, 83, 47, 84, 48, 73)(49, 61, 50, 62, 51, 63, 52, 64, 53, 65, 54, 66, 55, 67, 56, 68, 57, 69, 58, 70, 59, 71, 60, 72)
d: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18, 19)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(37, 48)(38, 47)(39, 46)(40, 45)(41, 44)(42, 43)(50, 60)(51, 59)(52, 58)(53, 57)(54, 56)(61, 72)(62, 71)(63, 70)(64, 69)(65, 68)(66, 67)(74, 84)(75, 83)(76, 82)(77, 81)(78, 80)(85, 96)(86, 95)(87, 94)(88, 93)(89, 92)(90, 91)

(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[ 96, 10 ]
96
-1 13 24 94 87
-2 88 13 14 95
-3 89 14 15 96
-4 90 15 16 85
-5 91 16 17 86
-6 92 17 18 87
-7 88 93 18 19
-8 89 94 19 20
-9 90 95 20 21
-10 22 91 96 21
-11 22 23 92 85
-12 23 24 93 86
-13 1 2 35 28
-14 2 3 36 29
-15 3 25 4 30
-16 4 26 5 31
-17 5 27 6 32
-18 33 6 28 7
-19 34 7 29 8
-20 35 8 30 9
-21 36 9 31 10
-22 11 25 10 32
-23 11 33 12 26
-24 1 12 34 27
-25 22 15 37 48
-26 23 37 16 38
-27 24 38 17 39
-28 13 39 18 40
-29 14 40 19 41
-30 15 41 20 42
-31 16 42 21 43
-32 22 44 17 43
-33 44 23 45 18
-34 45 24 46 19
-35 13 46 47 20
-36 14 47 48 21
-37 25 26 59 52
-38 26 27 60 53
-39 27 49 28 54
-40 55 28 50 29
-41 56 29 51 30
-42 57 30 52 31
-43 58 31 53 32
-44 33 59 32 54
-45 33 55 34 60
-46 34 56 35 49
-47 35 57 36 50
-48 25 36 58 51
-49 46 39 61 72
-50 47 61 40 62
-51 48 62 41 63
-52 37 63 42 64
-53 38 64 43 65
-54 44 66 39 65
-55 66 45 67 40
-56 67 46 68 41
-57 68 47 69 42
-58 69 48 70 43
-59 44 37 70 71
-60 45 38 71 72
-61 49 50 83 76
-62 77 50 51 84
-63 78 51 73 52
-64 79 52 74 53
-65 80 53 75 54
-66 55 81 54 76
-67 55 77 56 82
-68 56 78 57 83
-69 57 79 58 84
-70 58 80 59 73
-71 59 81 60 74
-72 49 60 82 75
-73 70 63 85 96
-74 71 85 64 86
-75 72 86 65 87
-76 66 88 61 87
-77 88 67 89 62
-78 89 68 90 63
-79 90 69 91 64
-80 91 70 92 65
-81 66 92 71 93
-82 67 93 72 94
-83 68 61 94 95
-84 69 62 95 96
-85 11 4 73 74
-86 12 5 74 75
-87 1 6 75 76
-88 77 2 7 76
-89 77 78 3 8
-90 78 79 4 9
-91 79 80 5 10
-92 11 80 81 6
-93 12 81 82 7
-94 1 82 83 8
-95 2 83 84 9
-96 3 73 84 10
0

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