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On this page are computer-accessible forms for the graph C4[ 165, 6 ] = PS(5,33;2).

(I) Following is a form readable by MAGMA:

g:=Graph<165|{ {65, 67}, {33, 34}, {96, 100}, {97, 101}, {98, 102}, {99, 103}, {66, 68}, {128, 136}, {132, 140}, {131, 139}, {130, 138}, {129, 137}, {128, 153}, {132, 157}, {130, 155}, {129, 154}, {96, 125}, {98, 127}, {64, 95}, {131, 156}, {97, 126}, {2, 34}, {31, 63}, {30, 62}, {29, 61}, {28, 60}, {27, 59}, {26, 58}, {25, 57}, {3, 35}, {4, 36}, {5, 37}, {6, 38}, {7, 39}, {8, 40}, {9, 41}, {10, 42}, {11, 43}, {12, 44}, {13, 45}, {14, 46}, {15, 47}, {16, 48}, {17, 49}, {18, 50}, {19, 51}, {20, 52}, {21, 53}, {22, 54}, {23, 55}, {24, 56}, {65, 96}, {1, 35}, {29, 63}, {28, 62}, {25, 59}, {4, 38}, {5, 39}, {8, 42}, {9, 43}, {12, 46}, {13, 47}, {16, 50}, {17, 51}, {20, 54}, {21, 55}, {24, 58}, {64, 99}, {66, 97}, {71, 100}, {75, 104}, {79, 108}, {83, 112}, {87, 116}, {91, 120}, {95, 124}, {72, 109}, {74, 111}, {76, 105}, {78, 107}, {80, 117}, {82, 119}, {84, 113}, {86, 115}, {88, 125}, {90, 127}, {92, 121}, {94, 123}, {2, 36}, {27, 61}, {26, 60}, {3, 37}, {10, 44}, {11, 45}, {18, 52}, {19, 53}, {73, 110}, {77, 106}, {81, 118}, {85, 114}, {89, 126}, {93, 122}, {67, 104}, {71, 108}, {83, 120}, {87, 124}, {68, 105}, {70, 107}, {72, 101}, {74, 103}, {84, 121}, {86, 123}, {88, 117}, {90, 119}, {6, 40}, {7, 41}, {22, 56}, {23, 57}, {69, 106}, {73, 102}, {85, 122}, {89, 118}, {75, 112}, {79, 116}, {76, 113}, {78, 115}, {80, 109}, {82, 111}, {14, 48}, {15, 49}, {77, 114}, {81, 110}, {34, 98}, {35, 99}, {1, 66}, {61, 96}, {63, 98}, {30, 64}, {31, 65}, {62, 97}, {32, 64}, {33, 65}, {37, 68}, {51, 82}, {49, 80}, {47, 78}, {45, 76}, {43, 74}, {41, 72}, {39, 70}, {53, 84}, {55, 86}, {57, 88}, {59, 90}, {61, 92}, {63, 94}, {32, 66}, {36, 71}, {50, 81}, {48, 83}, {46, 77}, {44, 79}, {42, 73}, {40, 75}, {38, 69}, {52, 87}, {54, 85}, {56, 91}, {58, 89}, {60, 95}, {62, 93}, {35, 70}, {49, 84}, {43, 78}, {41, 76}, {51, 86}, {57, 92}, {59, 94}, {34, 69}, {50, 85}, {44, 75}, {42, 77}, {36, 67}, {52, 83}, {58, 93}, {60, 91}, {37, 72}, {39, 74}, {53, 88}, {55, 90}, {38, 73}, {40, 71}, {54, 89}, {56, 87}, {45, 80}, {47, 82}, {46, 81}, {48, 79}, {28, 144}, {31, 147}, {30, 146}, {29, 145}, {29, 144}, {31, 146}, {30, 145}, {20, 135}, {28, 143}, {24, 139}, {1, 149}, {27, 143}, {26, 142}, {25, 141}, {24, 140}, {2, 150}, {3, 151}, {8, 156}, {9, 157}, {10, 158}, {11, 159}, {17, 133}, {18, 134}, {19, 135}, {2, 151}, {27, 142}, {25, 140}, {8, 157}, {10, 159}, {19, 134}, {1, 150}, {26, 141}, {9, 158}, {18, 133}, {3, 152}, {7, 156}, {4, 152}, {5, 153}, {6, 154}, {7, 155}, {20, 136}, {21, 137}, {22, 138}, {23, 139}, {4, 153}, {6, 155}, {21, 136}, {23, 138}, {5, 154}, {22, 137}, {11, 160}, {15, 164}, {12, 160}, {13, 161}, {14, 162}, {15, 163}, {12, 161}, {14, 163}, {13, 162}, {32, 147}, {16, 164}, {33, 149}, {32, 148}, {17, 165}, {16, 165}, {33, 148}, {67, 129}, {70, 132}, {68, 130}, {69, 131}, {102, 160}, {103, 161}, {104, 162}, {105, 163}, {106, 164}, {107, 165}, {119, 160}, {120, 161}, {124, 165}, {122, 163}, {91, 128}, {121, 162}, {95, 132}, {92, 129}, {94, 131}, {93, 130}, {123, 164}, {99, 128}, {111, 136}, {127, 152}, {119, 144}, {100, 141}, {126, 151}, {124, 149}, {122, 147}, {120, 145}, {118, 159}, {102, 143}, {108, 133}, {110, 135}, {112, 153}, {114, 155}, {116, 157}, {101, 142}, {125, 150}, {121, 146}, {109, 134}, {113, 154}, {117, 158}, {115, 156}, {123, 148}, {103, 144}, {111, 152}, {125, 133}, {127, 135}, {126, 134}, {104, 145}, {106, 147}, {108, 149}, {110, 151}, {112, 137}, {114, 139}, {116, 141}, {118, 143}, {100, 158}, {101, 159}, {105, 146}, {109, 150}, {113, 138}, {117, 142}, {107, 148}, {115, 140} }>;

(II) A more general form is to represent the graph as the orbit of {65, 67} under the group generated by the following permutations:

a: (1, 34, 67, 100, 133)(2, 36, 71, 108, 149, 33, 65, 96, 125, 150)(3, 38, 75, 116, 165, 32, 63, 92, 117, 134)(4, 40, 79, 124, 148, 31, 61, 88, 109, 151)(5, 42, 83, 132, 164, 30, 59, 84, 101, 135)(6, 44, 87, 107, 147, 29, 57, 80, 126, 152)(7, 46, 91, 115, 163, 28, 55, 76, 118, 136)(8, 48, 95, 123, 146, 27, 53, 72, 110, 153)(9, 50, 99, 131, 162, 26, 51, 68, 102, 137)(10, 52, 70, 106, 145, 25, 49, 97, 127, 154)(11, 54, 74, 114, 161, 24, 47, 93, 119, 138)(12, 56, 78, 122, 144, 23, 45, 89, 111, 155)(13, 58, 82, 130, 160, 22, 43, 85, 103, 139)(14, 60, 86, 105, 143, 21, 41, 81, 128, 156)(15, 62, 90, 113, 159, 20, 39, 77, 120, 140)(16, 64, 94, 121, 142, 19, 37, 73, 112, 157)(17, 66, 98, 129, 158, 18, 35, 69, 104, 141)
b: (2, 33)(3, 32)(4, 31)(5, 30)(6, 29)(7, 28)(8, 27)(9, 26)(10, 25)(11, 24)(12, 23)(13, 22)(14, 21)(15, 20)(16, 19)(17, 18)(35, 66)(36, 65)(37, 64)(38, 63)(39, 62)(40, 61)(41, 60)(42, 59)(43, 58)(44, 57)(45, 56)(46, 55)(47, 54)(48, 53)(49, 52)(50, 51)(68, 99)(69, 98)(70, 97)(71, 96)(72, 95)(73, 94)(74, 93)(75, 92)(76, 91)(77, 90)(78, 89)(79, 88)(80, 87)(81, 86)(82, 85)(83, 84)(101, 132)(102, 131)(103, 130)(104, 129)(105, 128)(106, 127)(107, 126)(108, 125)(109, 124)(110, 123)(111, 122)(112, 121)(113, 120)(114, 119)(115, 118)(116, 117)(134, 165)(135, 164)(136, 163)(137, 162)(138, 161)(139, 160)(140, 159)(141, 158)(142, 157)(143, 156)(144, 155)(145, 154)(146, 153)(147, 152)(148, 151)(149, 150)
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, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165)

(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[ 165, 6 ]
165
-1 66 35 149 150
-2 34 36 150 151
-3 35 37 151 152
-4 36 38 152 153
-5 154 37 39 153
-6 154 155 38 40
-7 155 156 39 41
-8 156 157 40 42
-9 157 158 41 43
-10 44 158 159 42
-11 45 159 160 43
-12 44 46 160 161
-13 45 47 161 162
-14 46 48 162 163
-15 47 49 163 164
-16 165 48 50 164
-17 165 133 49 51
-18 133 134 50 52
-19 134 135 51 53
-20 135 136 52 54
-21 55 136 137 53
-22 56 137 138 54
-23 55 57 138 139
-24 56 58 139 140
-25 57 59 140 141
-26 58 60 141 142
-27 143 59 61 142
-28 143 144 60 62
-29 144 145 61 63
-30 145 146 62 64
-31 146 147 63 65
-32 66 147 148 64
-33 34 148 149 65
-34 33 2 69 98
-35 99 1 3 70
-36 67 2 4 71
-37 68 3 5 72
-38 69 4 6 73
-39 70 5 7 74
-40 71 6 8 75
-41 72 7 9 76
-42 77 73 8 10
-43 11 78 74 9
-44 12 79 75 10
-45 11 13 80 76
-46 77 12 14 81
-47 78 13 15 82
-48 79 14 16 83
-49 80 15 17 84
-50 81 16 18 85
-51 82 17 19 86
-52 83 18 20 87
-53 88 84 19 21
-54 22 89 85 20
-55 23 90 86 21
-56 22 24 91 87
-57 88 23 25 92
-58 89 24 26 93
-59 90 25 27 94
-60 91 26 28 95
-61 92 27 29 96
-62 93 28 30 97
-63 94 29 31 98
-64 99 95 30 32
-65 33 67 96 31
-66 1 68 97 32
-67 36 104 129 65
-68 66 37 105 130
-69 34 38 106 131
-70 132 35 39 107
-71 100 36 40 108
-72 101 37 41 109
-73 110 102 38 42
-74 111 103 39 43
-75 44 112 104 40
-76 45 113 105 41
-77 46 114 106 42
-78 47 115 107 43
-79 44 48 116 108
-80 45 49 117 109
-81 110 46 50 118
-82 111 47 51 119
-83 112 48 52 120
-84 121 113 49 53
-85 122 114 50 54
-86 55 123 115 51
-87 56 124 116 52
-88 57 125 117 53
-89 58 126 118 54
-90 55 59 127 119
-91 56 60 128 120
-92 121 57 61 129
-93 122 58 62 130
-94 123 59 63 131
-95 132 124 60 64
-96 100 125 61 65
-97 66 101 126 62
-98 34 102 127 63
-99 35 103 128 64
-100 158 71 96 141
-101 159 72 97 142
-102 143 160 73 98
-103 99 144 161 74
-104 67 145 162 75
-105 68 146 163 76
-106 77 69 147 164
-107 165 78 70 148
-108 133 79 71 149
-109 134 80 72 150
-110 135 81 73 151
-111 136 82 74 152
-112 137 83 75 153
-113 154 138 84 76
-114 77 155 139 85
-115 78 156 140 86
-116 79 157 141 87
-117 88 80 158 142
-118 143 89 81 159
-119 144 90 82 160
-120 145 91 83 161
-121 146 92 84 162
-122 147 93 85 163
-123 148 94 86 164
-124 165 149 95 87
-125 88 133 150 96
-126 89 134 151 97
-127 90 135 152 98
-128 99 91 136 153
-129 154 67 92 137
-130 155 68 93 138
-131 156 69 94 139
-132 157 70 95 140
-133 125 17 18 108
-134 126 18 19 109
-135 110 127 19 20
-136 111 128 20 21
-137 22 112 129 21
-138 22 23 113 130
-139 23 24 114 131
-140 132 24 25 115
-141 100 25 26 116
-142 101 26 27 117
-143 102 27 28 118
-144 103 28 29 119
-145 104 29 30 120
-146 121 105 30 31
-147 122 106 31 32
-148 33 123 107 32
-149 33 1 124 108
-150 1 2 125 109
-151 110 2 3 126
-152 111 3 4 127
-153 112 4 5 128
-154 113 5 6 129
-155 114 6 7 130
-156 115 7 8 131
-157 132 116 8 9
-158 100 117 9 10
-159 11 101 118 10
-160 11 12 102 119
-161 12 13 103 120
-162 121 13 14 104
-163 122 14 15 105
-164 123 15 16 106
-165 124 16 17 107
0

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