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On this page are computer-accessible forms for the graph C4[ 112, 10 ] = BGCG(R_14(9, 8), 2; K2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {56, 57} under the group generated by the following permutations:

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

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

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