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On this page are computer-accessible forms for the graph C4[ 150, 6 ] = PS(6,25;7).

(I) Following is a form readable by MAGMA:

g:=Graph<150|{ {25, 26}, {125, 126}, {48, 55}, {96, 103}, {75, 76}, {49, 56}, {99, 106}, {97, 104}, {50, 57}, {98, 105}, {100, 107}, {33, 51}, {100, 118}, {97, 115}, {96, 114}, {36, 54}, {37, 55}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {34, 52}, {99, 117}, {98, 116}, {35, 53}, {42, 60}, {43, 61}, {2, 26}, {103, 127}, {102, 126}, {71, 95}, {70, 94}, {69, 93}, {68, 92}, {67, 91}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {64, 88}, {65, 89}, {66, 90}, {45, 52}, {47, 54}, {1, 27}, {101, 127}, {69, 95}, {68, 94}, {5, 31}, {4, 30}, {64, 90}, {65, 91}, {46, 53}, {2, 28}, {67, 93}, {3, 29}, {38, 56}, {39, 57}, {66, 92}, {44, 51}, {26, 58}, {93, 125}, {92, 124}, {91, 123}, {90, 122}, {89, 121}, {88, 120}, {87, 119}, {86, 118}, {85, 117}, {84, 116}, {83, 115}, {82, 114}, {81, 113}, {80, 112}, {79, 111}, {78, 110}, {77, 109}, {76, 108}, {29, 61}, {28, 60}, {27, 59}, {30, 62}, {31, 63}, {6, 32}, {71, 97}, {70, 96}, {23, 49}, {22, 48}, {15, 41}, {14, 40}, {7, 33}, {8, 32}, {75, 99}, {74, 98}, {73, 97}, {72, 96}, {25, 49}, {24, 48}, {15, 39}, {14, 38}, {13, 37}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {8, 34}, {73, 99}, {72, 98}, {24, 50}, {13, 39}, {12, 38}, {9, 35}, {80, 123}, {81, 124}, {10, 36}, {95, 113}, {94, 112}, {74, 100}, {11, 37}, {82, 125}, {84, 102}, {93, 111}, {92, 110}, {89, 107}, {88, 106}, {85, 103}, {1, 50}, {77, 120}, {79, 122}, {83, 101}, {91, 109}, {90, 108}, {78, 121}, {16, 40}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {95, 102}, {16, 42}, {21, 47}, {20, 46}, {17, 43}, {76, 119}, {94, 101}, {18, 44}, {87, 105}, {86, 104}, {19, 45}, {29, 72}, {31, 74}, {30, 73}, {51, 100}, {28, 71}, {27, 70}, {26, 69}, {32, 64}, {33, 65}, {34, 66}, {35, 67}, {36, 68}, {37, 69}, {38, 70}, {39, 71}, {40, 72}, {41, 73}, {42, 74}, {43, 75}, {54, 80}, {55, 81}, {62, 88}, {63, 89}, {56, 80}, {57, 81}, {58, 82}, {59, 83}, {60, 84}, {61, 85}, {62, 86}, {63, 87}, {56, 82}, {57, 83}, {60, 86}, {61, 87}, {20, 127}, {32, 75}, {19, 126}, {46, 64}, {47, 65}, {58, 84}, {59, 85}, {48, 66}, {49, 67}, {8, 126}, {9, 127}, {50, 68}, {52, 76}, {53, 77}, {54, 78}, {55, 79}, {52, 78}, {53, 79}, {51, 77}, {1, 133}, {18, 150}, {17, 149}, {16, 148}, {11, 143}, {10, 142}, {9, 141}, {8, 140}, {3, 135}, {2, 134}, {10, 128}, {15, 133}, {14, 132}, {11, 129}, {4, 136}, {7, 139}, {6, 138}, {5, 137}, {12, 130}, {13, 131}, {1, 144}, {7, 150}, {5, 148}, {3, 146}, {2, 145}, {6, 149}, {21, 128}, {23, 130}, {16, 134}, {25, 143}, {24, 142}, {17, 135}, {4, 147}, {22, 129}, {18, 136}, {23, 141}, {22, 140}, {19, 137}, {24, 131}, {12, 144}, {15, 147}, {14, 146}, {13, 145}, {25, 132}, {20, 138}, {21, 139}, {102, 128}, {119, 145}, {118, 144}, {111, 137}, {110, 136}, {103, 129}, {104, 128}, {125, 149}, {124, 148}, {123, 147}, {122, 146}, {121, 145}, {120, 144}, {111, 135}, {110, 134}, {109, 133}, {108, 132}, {107, 131}, {106, 130}, {105, 129}, {104, 130}, {124, 150}, {121, 147}, {120, 146}, {109, 135}, {108, 134}, {105, 131}, {106, 132}, {123, 149}, {122, 148}, {107, 133}, {101, 150}, {112, 136}, {119, 143}, {118, 142}, {117, 141}, {116, 140}, {115, 139}, {114, 138}, {113, 137}, {112, 138}, {117, 143}, {116, 142}, {113, 139}, {114, 140}, {115, 141} }>;

(II) A more general form is to represent the graph as the orbit of {25, 26} under the group generated by the following permutations:

a: (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)(51, 126)(52, 127)(53, 128)(54, 129)(55, 130)(56, 131)(57, 132)(58, 133)(59, 134)(60, 135)(61, 136)(62, 137)(63, 138)(64, 139)(65, 140)(66, 141)(67, 142)(68, 143)(69, 144)(70, 145)(71, 146)(72, 147)(73, 148)(74, 149)(75, 150)(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, 121)(97, 122)(98, 123)(99, 124)(100, 125)
b: (2, 8, 25, 19)(3, 15, 24, 12)(4, 22, 23, 5)(6, 11, 21, 16)(7, 18, 20, 9)(10, 14, 17, 13)(26, 126)(27, 133, 50, 144)(28, 140, 49, 137)(29, 147, 48, 130)(30, 129, 47, 148)(31, 136, 46, 141)(32, 143, 45, 134)(33, 150, 44, 127)(34, 132, 43, 145)(35, 139, 42, 138)(36, 146, 41, 131)(37, 128, 40, 149)(38, 135, 39, 142)(51, 101)(52, 108, 75, 119)(53, 115, 74, 112)(54, 122, 73, 105)(55, 104, 72, 123)(56, 111, 71, 116)(57, 118, 70, 109)(58, 125, 69, 102)(59, 107, 68, 120)(60, 114, 67, 113)(61, 121, 66, 106)(62, 103, 65, 124)(63, 110, 64, 117)(77, 83, 100, 94)(78, 90, 99, 87)(79, 97, 98, 80)(81, 86, 96, 91)(82, 93, 95, 84)(85, 89, 92, 88)
c: (2, 25)(3, 24)(4, 23)(5, 22)(6, 21)(7, 20)(8, 19)(9, 18)(10, 17)(11, 16)(12, 15)(13, 14)(27, 50)(28, 49)(29, 48)(30, 47)(31, 46)(32, 45)(33, 44)(34, 43)(35, 42)(36, 41)(37, 40)(38, 39)(52, 75)(53, 74)(54, 73)(55, 72)(56, 71)(57, 70)(58, 69)(59, 68)(60, 67)(61, 66)(62, 65)(63, 64)(77, 100)(78, 99)(79, 98)(80, 97)(81, 96)(82, 95)(83, 94)(84, 93)(85, 92)(86, 91)(87, 90)(88, 89)(102, 125)(103, 124)(104, 123)(105, 122)(106, 121)(107, 120)(108, 119)(109, 118)(110, 117)(111, 116)(112, 115)(113, 114)(127, 150)(128, 149)(129, 148)(130, 147)(131, 146)(132, 145)(133, 144)(134, 143)(135, 142)(136, 141)(137, 140)(138, 139)
d: (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)

(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[ 150, 6 ]
150
-1 133 144 27 50
-2 134 145 26 28
-3 135 146 27 29
-4 136 147 28 30
-5 137 148 29 31
-6 138 149 30 32
-7 33 139 150 31
-8 34 126 140 32
-9 33 35 127 141
-10 34 36 128 142
-11 143 35 37 129
-12 144 36 38 130
-13 145 37 39 131
-14 132 146 38 40
-15 133 147 39 41
-16 134 148 40 42
-17 135 149 41 43
-18 44 136 150 42
-19 45 126 137 43
-20 44 46 127 138
-21 45 47 128 139
-22 46 48 129 140
-23 47 49 130 141
-24 48 50 131 142
-25 132 143 26 49
-26 2 25 58 69
-27 1 3 59 70
-28 2 4 60 71
-29 3 5 61 72
-30 4 6 62 73
-31 5 7 63 74
-32 6 8 64 75
-33 7 51 9 65
-34 66 8 52 10
-35 11 67 9 53
-36 12 68 10 54
-37 11 55 13 69
-38 12 56 14 70
-39 13 57 15 71
-40 14 58 16 72
-41 15 59 17 73
-42 16 60 18 74
-43 17 61 19 75
-44 18 51 62 20
-45 19 52 63 21
-46 22 20 53 64
-47 23 21 54 65
-48 22 55 66 24
-49 23 56 67 25
-50 1 24 57 68
-51 33 44 77 100
-52 34 45 78 76
-53 77 35 46 79
-54 78 36 47 80
-55 79 37 48 81
-56 80 38 49 82
-57 81 39 50 83
-58 26 82 40 84
-59 27 83 41 85
-60 28 84 42 86
-61 29 85 43 87
-62 44 88 30 86
-63 45 89 31 87
-64 88 46 90 32
-65 33 89 47 91
-66 34 90 48 92
-67 35 91 49 93
-68 36 92 50 94
-69 26 37 93 95
-70 27 38 94 96
-71 28 39 95 97
-72 29 40 96 98
-73 99 30 41 97
-74 100 31 42 98
-75 99 32 43 76
-76 52 75 108 119
-77 51 53 109 120
-78 110 121 52 54
-79 55 111 122 53
-80 56 112 123 54
-81 55 57 113 124
-82 56 58 114 125
-83 57 101 59 115
-84 58 102 60 116
-85 59 103 61 117
-86 60 104 62 118
-87 61 105 63 119
-88 62 106 64 120
-89 121 63 107 65
-90 66 122 64 108
-91 67 123 65 109
-92 66 110 68 124
-93 67 111 69 125
-94 68 101 112 70
-95 69 102 113 71
-96 70 103 114 72
-97 71 104 115 73
-98 72 105 116 74
-99 73 106 117 75
-100 51 74 107 118
-101 83 94 127 150
-102 126 84 95 128
-103 127 85 96 129
-104 128 86 97 130
-105 129 87 98 131
-106 88 99 132 130
-107 89 100 133 131
-108 132 90 134 76
-109 77 133 91 135
-110 78 134 92 136
-111 79 135 93 137
-112 80 136 94 138
-113 81 137 95 139
-114 82 138 96 140
-115 83 139 97 141
-116 84 140 98 142
-117 99 143 85 141
-118 100 144 86 142
-119 143 145 76 87
-120 77 88 144 146
-121 78 89 145 147
-122 79 90 146 148
-123 80 91 147 149
-124 81 92 148 150
-125 82 93 126 149
-126 102 125 8 19
-127 101 103 9 20
-128 102 104 10 21
-129 11 22 103 105
-130 12 23 104 106
-131 13 24 105 107
-132 14 25 106 108
-133 1 15 107 109
-134 110 2 16 108
-135 111 3 17 109
-136 110 112 4 18
-137 111 113 5 19
-138 112 114 6 20
-139 113 115 7 21
-140 22 114 116 8
-141 23 115 117 9
-142 24 116 118 10
-143 11 25 117 119
-144 1 12 118 120
-145 121 2 13 119
-146 122 3 14 120
-147 121 123 4 15
-148 122 124 5 16
-149 123 125 6 17
-150 101 124 7 18
0

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