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On this page are computer-accessible forms for the graph C4[ 144, 12 ] = PS(6,48;7).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {48, 52}, {96, 100}, {32, 53}, {96, 117}, {34, 55}, {40, 61}, {42, 63}, {8, 31}, {104, 127}, {72, 95}, {33, 54}, {41, 62}, {64, 87}, {1, 25}, {103, 127}, {102, 126}, {101, 125}, {100, 124}, {99, 123}, {98, 122}, {97, 121}, {71, 95}, {70, 94}, {69, 93}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {2, 26}, {64, 88}, {65, 89}, {66, 90}, {67, 91}, {68, 92}, {3, 26}, {103, 126}, {101, 124}, {99, 122}, {71, 94}, {69, 92}, {7, 30}, {5, 28}, {65, 88}, {67, 90}, {2, 25}, {102, 125}, {98, 121}, {70, 93}, {6, 29}, {35, 56}, {39, 60}, {66, 89}, {32, 60}, {34, 62}, {33, 61}, {35, 63}, {45, 49}, {46, 50}, {47, 51}, {36, 57}, {38, 59}, {4, 27}, {100, 123}, {37, 58}, {68, 91}, {28, 56}, {92, 120}, {87, 115}, {86, 114}, {85, 113}, {84, 112}, {79, 107}, {78, 106}, {77, 105}, {76, 104}, {31, 59}, {30, 58}, {29, 57}, {8, 32}, {72, 96}, {24, 48}, {15, 39}, {14, 38}, {13, 37}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {9, 32}, {15, 38}, {13, 36}, {11, 34}, {10, 33}, {95, 116}, {91, 112}, {79, 100}, {31, 52}, {14, 37}, {25, 53}, {91, 119}, {90, 118}, {89, 117}, {88, 116}, {75, 103}, {74, 102}, {73, 101}, {27, 55}, {26, 54}, {28, 49}, {94, 115}, {92, 113}, {78, 99}, {76, 97}, {30, 51}, {12, 35}, {93, 114}, {77, 98}, {29, 50}, {1, 48}, {75, 120}, {80, 101}, {90, 111}, {88, 109}, {82, 103}, {16, 39}, {89, 110}, {81, 102}, {24, 47}, {16, 40}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {17, 40}, {23, 46}, {21, 44}, {19, 42}, {18, 41}, {87, 108}, {83, 104}, {22, 45}, {80, 108}, {95, 99}, {94, 98}, {93, 97}, {83, 111}, {82, 110}, {81, 109}, {74, 119}, {86, 107}, {84, 105}, {20, 43}, {85, 106}, {73, 118}, {49, 96}, {27, 72}, {26, 71}, {25, 70}, {24, 123}, {36, 64}, {37, 65}, {38, 66}, {39, 67}, {44, 72}, {56, 80}, {57, 81}, {58, 82}, {59, 83}, {60, 84}, {61, 85}, {62, 86}, {63, 87}, {57, 80}, {59, 82}, {61, 84}, {63, 86}, {43, 64}, {47, 68}, {58, 81}, {62, 85}, {40, 68}, {41, 69}, {42, 70}, {43, 71}, {23, 122}, {44, 65}, {46, 67}, {22, 121}, {45, 66}, {60, 83}, {8, 124}, {11, 127}, {10, 126}, {9, 125}, {48, 69}, {56, 79}, {49, 73}, {50, 74}, {51, 75}, {52, 76}, {53, 77}, {54, 78}, {55, 79}, {51, 74}, {53, 76}, {55, 78}, {4, 127}, {50, 73}, {54, 77}, {5, 121}, {7, 123}, {6, 122}, {1, 124}, {3, 126}, {2, 125}, {52, 75}, {5, 128}, {21, 144}, {15, 138}, {13, 136}, {7, 130}, {6, 129}, {14, 137}, {8, 131}, {12, 135}, {1, 141}, {15, 131}, {14, 130}, {13, 129}, {12, 128}, {3, 143}, {2, 142}, {9, 132}, {11, 134}, {10, 133}, {4, 144}, {24, 140}, {19, 135}, {18, 134}, {17, 133}, {16, 132}, {16, 139}, {20, 143}, {20, 136}, {23, 139}, {22, 138}, {21, 137}, {17, 140}, {19, 142}, {18, 141}, {104, 128}, {120, 144}, {111, 135}, {110, 134}, {109, 133}, {108, 132}, {107, 131}, {106, 130}, {105, 129}, {105, 128}, {111, 134}, {109, 132}, {107, 130}, {106, 129}, {110, 133}, {108, 131}, {97, 144}, {112, 135}, {120, 143}, {112, 136}, {119, 143}, {118, 142}, {117, 141}, {116, 140}, {115, 139}, {114, 138}, {113, 137}, {113, 136}, {119, 142}, {117, 140}, {115, 138}, {114, 137}, {118, 141}, {116, 139} }>;

(II) A more general form is to represent the graph as the orbit of {48, 52} under the group generated by the following permutations:

a: (2, 70)(3, 115)(4, 16)(5, 61)(6, 106)(8, 52)(9, 97)(10, 22)(11, 67)(12, 112)(14, 58)(15, 103)(17, 49)(18, 118)(20, 64)(21, 109)(23, 55)(24, 100)(26, 94)(27, 139)(28, 40)(29, 85)(30, 130)(32, 76)(33, 121)(34, 46)(35, 91)(36, 136)(38, 82)(39, 127)(41, 73)(42, 142)(44, 88)(45, 133)(47, 79)(48, 124)(50, 62)(51, 107)(54, 98)(56, 68)(57, 113)(60, 104)(63, 119)(66, 110)(69, 101)(72, 116)(74, 86)(75, 131)(78, 122)(80, 92)(81, 137)(84, 128)(87, 143)(90, 134)(93, 125)(96, 140)(102, 114)(108, 120)(126, 138)(132, 144)
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)
c: (1, 25, 2, 26, 3, 27, 4, 28, 5, 29, 6, 30, 7, 31, 8, 32, 9, 33, 10, 34, 11, 35, 12, 36, 13, 37, 14, 38, 15, 39, 16, 40, 17, 41, 18, 42, 19, 43, 20, 44, 21, 45, 22, 46, 23, 47, 24, 48)(49, 121, 50, 122, 51, 123, 52, 124, 53, 125, 54, 126, 55, 127, 56, 128, 57, 129, 58, 130, 59, 131, 60, 132, 61, 133, 62, 134, 63, 135, 64, 136, 65, 137, 66, 138, 67, 139, 68, 140, 69, 141, 70, 142, 71, 143, 72, 144)(73, 98, 74, 99, 75, 100, 76, 101, 77, 102, 78, 103, 79, 104, 80, 105, 81, 106, 82, 107, 83, 108, 84, 109, 85, 110, 86, 111, 87, 112, 88, 113, 89, 114, 90, 115, 91, 116, 92, 117, 93, 118, 94, 119, 95, 120, 96, 97)
d: (2, 52, 18, 100)(3, 103, 11, 55)(4, 10)(5, 61, 21, 109)(6, 112, 14, 64)(7, 19)(8, 70, 24, 118)(9, 97, 17, 49)(12, 106, 20, 58)(15, 115, 23, 67)(16, 22)(25, 48, 141, 124)(26, 75, 134, 79)(27, 126, 127, 34)(28, 33, 144, 133)(29, 84, 137, 88)(30, 135, 130, 43)(31, 42, 123, 142)(32, 93, 140, 73)(35, 78, 143, 82)(36, 129, 136, 37)(38, 87, 122, 91)(39, 138, 139, 46)(40, 45, 132, 121)(41, 96, 125, 76)(44, 81, 128, 85)(47, 90, 131, 94)(50, 60, 114, 116)(51, 111, 107, 71)(53, 69, 117, 101)(54, 120, 110, 56)(57, 105, 113, 65)(59, 63, 99, 119)(62, 72, 102, 104)(66, 108, 98, 68)(74, 83, 86, 95)(77, 92, 89, 80)

(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[ 144, 12 ]
144
-1 25 124 48 141
-2 25 26 125 142
-3 143 26 27 126
-4 144 27 28 127
-5 121 28 29 128
-6 122 29 30 129
-7 123 30 31 130
-8 124 31 32 131
-9 33 132 125 32
-10 33 34 133 126
-11 34 35 134 127
-12 35 36 135 128
-13 36 37 136 129
-14 37 38 137 130
-15 38 39 138 131
-16 132 39 40 139
-17 133 40 41 140
-18 134 41 42 141
-19 135 42 43 142
-20 44 143 136 43
-21 44 45 144 137
-22 121 45 46 138
-23 122 46 47 139
-24 123 47 48 140
-25 1 2 70 53
-26 2 3 71 54
-27 55 3 4 72
-28 56 4 5 49
-29 57 5 6 50
-30 58 6 7 51
-31 59 7 8 52
-32 60 8 9 53
-33 61 9 10 54
-34 11 55 62 10
-35 11 12 56 63
-36 12 13 57 64
-37 13 14 58 65
-38 66 14 15 59
-39 67 15 16 60
-40 68 16 17 61
-41 69 17 18 62
-42 70 18 19 63
-43 71 19 20 64
-44 72 20 21 65
-45 22 66 49 21
-46 22 23 67 50
-47 23 24 68 51
-48 1 24 69 52
-49 45 28 73 96
-50 46 29 73 74
-51 47 30 74 75
-52 48 31 75 76
-53 77 25 32 76
-54 33 77 78 26
-55 34 78 79 27
-56 35 79 80 28
-57 36 80 81 29
-58 37 81 82 30
-59 38 82 83 31
-60 39 83 84 32
-61 33 40 84 85
-62 34 41 85 86
-63 35 42 86 87
-64 88 36 43 87
-65 44 88 89 37
-66 45 89 90 38
-67 46 90 91 39
-68 47 91 92 40
-69 48 92 93 41
-70 25 93 94 42
-71 26 94 95 43
-72 44 27 95 96
-73 101 49 50 118
-74 102 50 51 119
-75 103 51 52 120
-76 104 52 53 97
-77 105 53 54 98
-78 55 99 106 54
-79 55 56 100 107
-80 56 57 101 108
-81 57 58 102 109
-82 110 58 59 103
-83 111 59 60 104
-84 112 60 61 105
-85 113 61 62 106
-86 114 62 63 107
-87 115 63 64 108
-88 116 64 65 109
-89 66 110 117 65
-90 66 67 111 118
-91 67 68 112 119
-92 68 69 113 120
-93 69 70 114 97
-94 70 71 115 98
-95 99 71 72 116
-96 100 49 72 117
-97 121 144 93 76
-98 77 121 122 94
-99 78 122 123 95
-100 79 123 124 96
-101 80 124 125 73
-102 81 125 126 74
-103 82 126 127 75
-104 83 127 128 76
-105 77 84 128 129
-106 78 85 129 130
-107 79 86 130 131
-108 132 80 87 131
-109 88 132 133 81
-110 89 133 134 82
-111 90 134 135 83
-112 91 135 136 84
-113 92 136 137 85
-114 93 137 138 86
-115 94 138 139 87
-116 88 95 139 140
-117 89 96 140 141
-118 90 73 141 142
-119 143 91 74 142
-120 143 144 92 75
-121 22 5 97 98
-122 99 23 6 98
-123 99 100 24 7
-124 1 100 101 8
-125 2 101 102 9
-126 3 102 103 10
-127 11 4 103 104
-128 12 5 104 105
-129 13 6 105 106
-130 14 7 106 107
-131 15 8 107 108
-132 16 9 108 109
-133 110 17 10 109
-134 11 110 111 18
-135 12 111 112 19
-136 13 112 113 20
-137 14 113 114 21
-138 22 15 114 115
-139 23 16 115 116
-140 24 17 116 117
-141 1 18 117 118
-142 2 19 118 119
-143 3 20 119 120
-144 4 97 21 120
0

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