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On this page are computer-accessible forms for the graph C4[ 72, 15 ] = DG(F24).

(I) Following is a form readable by MAGMA:

g:=Graph<72|{ {21, 22}, {41, 42}, {29, 30}, {36, 39}, {56, 61}, {65, 68}, {8, 14}, {33, 39}, {42, 45}, {51, 52}, {2, 10}, {53, 61}, {17, 25}, {5, 13}, {32, 40}, {1, 11}, {22, 28}, {17, 27}, {16, 26}, {23, 29}, {5, 14}, {52, 63}, {17, 26}, {3, 15}, {68, 72}, {3, 14}, {69, 72}, {21, 24}, {5, 10}, {36, 43}, {35, 50}, {2, 16}, {46, 60}, {15, 29}, {3, 17}, {13, 25}, {35, 55}, {37, 49}, {46, 59}, {47, 58}, {8, 30}, {14, 24}, {12, 27}, {41, 49}, {46, 54}, {1, 24}, {44, 54}, {40, 51}, {41, 50}, {11, 23}, {44, 48}, {37, 57}, {38, 58}, {7, 26}, {15, 18}, {34, 63}, {34, 61}, {47, 48}, {18, 50}, {23, 54}, {9, 43}, {4, 39}, {19, 48}, {30, 58}, {9, 44}, {31, 57}, {4, 44}, {20, 60}, {19, 59}, {6, 46}, {25, 49}, {6, 47}, {21, 60}, {13, 33}, {29, 49}, {6, 43}, {12, 33}, {11, 38}, {31, 50}, {4, 42}, {15, 33}, {16, 63}, {28, 51}, {8, 56}, {20, 36}, {24, 40}, {27, 43}, {4, 53}, {9, 56}, {27, 42}, {6, 53}, {19, 32}, {13, 62}, {12, 63}, {11, 56}, {7, 51}, {20, 32}, {18, 38}, {22, 34}, {2, 55}, {10, 60}, {31, 40}, {21, 45}, {28, 37}, {7, 61}, {10, 48}, {9, 52}, {20, 41}, {26, 39}, {31, 34}, {19, 45}, {1, 62}, {25, 38}, {28, 35}, {3, 67}, {2, 67}, {5, 68}, {1, 71}, {7, 65}, {12, 65}, {8, 70}, {22, 70}, {18, 64}, {23, 66}, {16, 72}, {30, 71}, {36, 64}, {37, 64}, {32, 70}, {35, 69}, {45, 64}, {47, 66}, {57, 72}, {53, 71}, {52, 71}, {54, 69}, {55, 66}, {55, 65}, {59, 67}, {62, 70}, {57, 66}, {62, 67}, {58, 69}, {59, 68} }>;

(II) A more general form is to represent the graph as the orbit of {21, 22} under the group generated by the following permutations:

(2, 66)(3, 29)(4, 45)(5, 58)(6, 60)(7, 28)(9, 32)(10, 47)(11, 62)(12, 50)(13, 38)(14, 30)(16, 57)(17, 49)(18, 33)(19, 44)(20, 43)(21, 53)(22, 61)(23, 67)(24, 71)(26, 37)(27, 41)(31, 63)(35, 65)(39, 64)(40, 52)(54, 59)(56, 70)(68, 69)
(1, 2, 50, 4)(3, 69, 45, 52)(5, 57, 36, 56)(6, 70, 65, 49)(7, 25, 47, 32)(8, 68, 37, 43)(9, 14, 72, 64)(10, 31, 39, 11)(12, 29, 46, 22)(13, 66, 20, 61)(15, 54, 21, 63)(16, 18, 44, 24)(17, 58, 19, 51)(23, 60, 34, 33)(26, 38, 48, 40)(27, 30, 59, 28)(35, 42, 71, 67)(41, 53, 62, 55)
(2, 45)(3, 22)(4, 66)(5, 32)(6, 54)(7, 49)(9, 58)(10, 19)(11, 71)(12, 50)(13, 40)(14, 70)(15, 34)(16, 64)(17, 28)(18, 63)(20, 68)(21, 67)(23, 53)(24, 62)(25, 51)(26, 37)(27, 35)(29, 61)(30, 56)(31, 33)(36, 72)(38, 52)(39, 57)(41, 65)(42, 55)(43, 69)(44, 47)(59, 60)
(1, 5)(2, 56)(3, 70)(4, 57)(6, 69)(7, 63)(8, 67)(9, 55)(10, 11)(12, 51)(13, 24)(14, 62)(15, 32)(16, 61)(17, 22)(18, 20)(19, 29)(21, 25)(23, 48)(26, 34)(27, 28)(30, 59)(31, 39)(33, 40)(35, 43)(36, 50)(37, 42)(38, 60)(41, 64)(44, 66)(45, 49)(46, 58)(47, 54)(52, 65)(53, 72)(68, 71)

(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[ 72, 15 ]
72
-1 11 24 71 62
-2 55 67 16 10
-3 67 14 15 17
-4 44 39 42 53
-5 13 68 14 10
-6 46 47 53 43
-7 26 61 51 65
-8 56 14 70 30
-9 44 56 52 43
-10 2 48 5 60
-11 1 23 56 38
-12 33 27 63 65
-13 33 25 5 62
-14 24 3 5 8
-15 33 3 18 29
-16 2 26 72 63
-17 3 25 26 27
-18 15 38 50 64
-19 45 48 59 32
-20 36 60 41 32
-21 22 45 24 60
-22 34 70 28 21
-23 11 66 29 54
-24 1 14 40 21
-25 13 38 49 17
-26 16 17 39 7
-27 12 17 42 43
-28 22 35 37 51
-29 23 15 49 30
-30 58 71 29 8
-31 34 57 50 40
-32 70 40 19 20
-33 12 13 15 39
-34 22 61 63 31
-35 55 69 28 50
-36 39 20 64 43
-37 57 49 28 64
-38 11 25 58 18
-39 33 36 4 26
-40 24 51 31 32
-41 49 50 20 42
-42 45 4 27 41
-43 36 27 6 9
-44 4 48 9 54
-45 19 42 64 21
-46 59 60 6 54
-47 66 58 48 6
-48 44 47 19 10
-49 25 37 29 41
-50 35 18 41 31
-51 28 7 40 52
-52 71 51 63 9
-53 4 71 6 61
-54 44 23 46 69
-55 66 2 35 65
-56 11 61 8 9
-57 66 37 72 31
-58 47 69 38 30
-59 67 46 68 19
-60 46 20 10 21
-61 34 56 7 53
-62 1 67 13 70
-63 12 34 16 52
-64 45 36 37 18
-65 55 12 68 7
-66 55 23 57 47
-67 2 3 59 62
-68 59 5 72 65
-69 35 58 72 54
-70 22 62 8 32
-71 1 30 52 53
-72 57 68 69 16
0

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