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On this page are computer-accessible forms for the graph C4[ 136, 5 ] = PS(8,17;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {33, 35} under the group generated by the following permutations:

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

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

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