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On this page are computer-accessible forms for the graph C4[ 120, 12 ] = PS(10,24;5).

(I) Following is a form readable by MAGMA:

g:=Graph<120|{ {24, 27}, {48, 51}, {72, 75}, {96, 99}, {16, 26}, {64, 74}, {48, 58}, {17, 27}, {20, 30}, {21, 31}, {65, 75}, {68, 78}, {69, 79}, {96, 106}, {4, 15}, {52, 63}, {32, 43}, {36, 47}, {80, 91}, {84, 95}, {100, 111}, {1, 13}, {51, 63}, {50, 62}, {49, 61}, {2, 14}, {3, 15}, {32, 44}, {33, 45}, {34, 46}, {35, 47}, {80, 92}, {81, 93}, {82, 94}, {83, 95}, {97, 109}, {98, 110}, {99, 111}, {3, 14}, {51, 62}, {23, 26}, {33, 44}, {35, 46}, {71, 74}, {81, 92}, {83, 94}, {99, 110}, {18, 28}, {19, 29}, {66, 76}, {67, 77}, {2, 13}, {50, 61}, {16, 31}, {22, 25}, {34, 45}, {64, 79}, {70, 73}, {82, 93}, {98, 109}, {13, 28}, {45, 60}, {43, 58}, {41, 56}, {15, 30}, {37, 52}, {39, 54}, {65, 80}, {67, 82}, {69, 84}, {14, 29}, {42, 57}, {38, 53}, {66, 81}, {4, 16}, {108, 120}, {103, 115}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {36, 48}, {76, 88}, {77, 89}, {78, 90}, {79, 91}, {100, 112}, {101, 113}, {102, 114}, {5, 16}, {7, 18}, {77, 88}, {79, 90}, {101, 112}, {103, 114}, {15, 25}, {47, 57}, {46, 56}, {39, 49}, {70, 80}, {71, 81}, {6, 17}, {44, 59}, {68, 83}, {78, 89}, {102, 113}, {1, 24}, {97, 120}, {38, 60}, {45, 55}, {44, 54}, {41, 51}, {40, 50}, {72, 82}, {8, 19}, {108, 119}, {104, 115}, {12, 23}, {76, 87}, {8, 20}, {107, 119}, {106, 118}, {105, 117}, {104, 116}, {9, 21}, {10, 22}, {11, 23}, {73, 85}, {74, 86}, {75, 87}, {9, 20}, {107, 118}, {105, 116}, {47, 50}, {11, 22}, {75, 86}, {37, 59}, {43, 53}, {42, 52}, {10, 21}, {106, 117}, {46, 49}, {40, 55}, {74, 85}, {25, 48}, {73, 96}, {14, 36}, {13, 35}, {17, 32}, {19, 34}, {21, 36}, {85, 100}, {87, 102}, {89, 104}, {91, 106}, {93, 108}, {18, 33}, {86, 101}, {90, 105}, {28, 40}, {29, 41}, {30, 42}, {31, 43}, {84, 96}, {29, 40}, {31, 42}, {22, 32}, {23, 33}, {87, 97}, {94, 104}, {95, 105}, {20, 35}, {30, 41}, {92, 107}, {24, 34}, {86, 108}, {88, 98}, {89, 99}, {92, 102}, {93, 103}, {28, 39}, {25, 37}, {26, 38}, {27, 39}, {27, 38}, {95, 98}, {85, 107}, {90, 100}, {91, 101}, {26, 37}, {88, 103}, {94, 97}, {12, 110}, {11, 109}, {4, 109}, {6, 111}, {62, 84}, {5, 110}, {1, 111}, {61, 83}, {61, 76}, {63, 78}, {2, 112}, {3, 113}, {6, 116}, {7, 117}, {10, 120}, {62, 77}, {52, 64}, {60, 72}, {55, 67}, {54, 66}, {53, 65}, {2, 119}, {55, 66}, {53, 64}, {4, 114}, {63, 73}, {5, 115}, {1, 118}, {54, 65}, {7, 112}, {8, 113}, {49, 72}, {10, 115}, {12, 117}, {3, 120}, {60, 71}, {56, 67}, {9, 114}, {56, 68}, {59, 71}, {58, 70}, {57, 69}, {57, 68}, {59, 70}, {8, 118}, {9, 119}, {11, 116}, {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)(97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108)(109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120)
b: (2, 6)(3, 11)(5, 9)(8, 12)(13, 111)(14, 116)(15, 109)(16, 114)(17, 119)(18, 112)(19, 117)(20, 110)(21, 115)(22, 120)(23, 113)(24, 118)(25, 97)(26, 102)(27, 107)(28, 100)(29, 105)(30, 98)(31, 103)(32, 108)(33, 101)(34, 106)(35, 99)(36, 104)(37, 87)(38, 92)(39, 85)(40, 90)(41, 95)(42, 88)(43, 93)(44, 86)(45, 91)(46, 96)(47, 89)(48, 94)(49, 73)(50, 78)(51, 83)(52, 76)(53, 81)(54, 74)(55, 79)(56, 84)(57, 77)(58, 82)(59, 75)(60, 80)(61, 63)(62, 68)(64, 66)(65, 71)(67, 69)(70, 72)
c: (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)(98, 108)(99, 107)(100, 106)(101, 105)(102, 104)(109, 120)(110, 119)(111, 118)(112, 117)(113, 116)(114, 115)
d: (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, 109, 26, 110, 27, 111, 28, 112, 29, 113, 30, 114, 31, 115, 32, 116, 33, 117, 34, 118, 35, 119, 36, 120)(37, 98, 38, 99, 39, 100, 40, 101, 41, 102, 42, 103, 43, 104, 44, 105, 45, 106, 46, 107, 47, 108, 48, 97)(49, 85, 50, 86, 51, 87, 52, 88, 53, 89, 54, 90, 55, 91, 56, 92, 57, 93, 58, 94, 59, 95, 60, 96)(61, 74, 62, 75, 63, 76, 64, 77, 65, 78, 66, 79, 67, 80, 68, 81, 69, 82, 70, 83, 71, 84, 72, 73)

(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[ 120, 12 ]
120
-1 111 13 24 118
-2 13 112 14 119
-3 14 113 15 120
-4 15 114 16 109
-5 110 16 115 17
-6 111 17 116 18
-7 112 18 117 19
-8 113 19 118 20
-9 114 20 119 21
-10 22 115 21 120
-11 22 23 116 109
-12 110 23 24 117
-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
-85 100 73 74 107
-86 101 74 75 108
-87 102 75 97 76
-88 77 103 76 98
-89 77 99 78 104
-90 78 100 79 105
-91 79 101 80 106
-92 80 102 81 107
-93 81 103 82 108
-94 82 104 83 97
-95 83 105 84 98
-96 99 73 84 106
-97 94 87 109 120
-98 88 110 95 109
-99 110 89 111 96
-100 111 90 112 85
-101 112 91 113 86
-102 113 92 114 87
-103 88 114 93 115
-104 89 115 94 116
-105 90 116 95 117
-106 91 117 96 118
-107 92 85 118 119
-108 93 86 119 120
-109 11 4 97 98
-110 99 12 5 98
-111 99 1 100 6
-112 100 2 101 7
-113 101 3 102 8
-114 102 4 103 9
-115 103 5 104 10
-116 11 104 6 105
-117 12 105 7 106
-118 1 106 8 107
-119 2 107 9 108
-120 3 97 108 10
0

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