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On this page are computer-accessible forms for the graph C4[ 48, 9 ] = PX(6,3).

(I) Following is a form readable by MAGMA:

g:=Graph<48|{ {8, 15}, {40, 47}, {16, 23}, {24, 31}, {32, 39}, {1, 9}, {33, 41}, {32, 40}, {17, 25}, {16, 24}, {2, 11}, {39, 46}, {34, 43}, {18, 27}, {7, 14}, {23, 30}, {6, 12}, {39, 45}, {38, 44}, {7, 13}, {22, 28}, {23, 29}, {1, 10}, {36, 47}, {33, 42}, {17, 26}, {4, 15}, {20, 31}, {5, 9}, {37, 41}, {21, 25}, {3, 14}, {38, 43}, {35, 46}, {19, 30}, {6, 11}, {22, 27}, {2, 12}, {35, 45}, {34, 44}, {19, 29}, {18, 28}, {3, 13}, {5, 10}, {37, 42}, {21, 26}, {4, 16}, {36, 48}, {12, 24}, {8, 16}, {40, 48}, {9, 17}, {10, 19}, {15, 22}, {14, 20}, {15, 21}, {9, 18}, {12, 23}, {13, 17}, {11, 22}, {14, 19}, {10, 20}, {11, 21}, {13, 18}, {8, 44}, {1, 41}, {3, 42}, {6, 47}, {4, 46}, {5, 47}, {2, 41}, {7, 44}, {1, 45}, {3, 46}, {6, 43}, {4, 42}, {5, 43}, {2, 45}, {20, 32}, {28, 40}, {7, 48}, {8, 48}, {24, 32}, {25, 33}, {26, 35}, {31, 38}, {30, 36}, {31, 37}, {25, 34}, {28, 39}, {29, 33}, {27, 38}, {30, 35}, {26, 36}, {27, 37}, {29, 34} }>;

(II) A more general form is to represent the graph as the orbit of {8, 15} under the group generated by the following permutations:

a: (25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 45)(42, 46)(43, 47)(44, 48)
b: (2, 5)(4, 7)(9, 41)(10, 45)(11, 43)(12, 47)(13, 42)(14, 46)(15, 44)(16, 48)(17, 33)(18, 37)(19, 35)(20, 39)(21, 34)(22, 38)(23, 36)(24, 40)(26, 29)(28, 31)
c: (1, 3)(2, 4)(5, 7)(6, 8)(9, 13)(10, 14)(11, 15)(12, 16)(41, 42)(43, 44)(45, 46)(47, 48)
d: (17, 18)(19, 20)(21, 22)(23, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)
e: (9, 10)(11, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 29)(26, 30)(27, 31)(28, 32)
f: (1, 2)(3, 4)(5, 6)(7, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 21)(18, 22)(19, 23)(20, 24)
g: (1, 9, 17, 25, 33, 41)(2, 10, 18, 26, 34, 42)(3, 11, 19, 27, 35, 43)(4, 12, 20, 28, 36, 44)(5, 13, 21, 29, 37, 45)(6, 14, 22, 30, 38, 46)(7, 15, 23, 31, 39, 47)(8, 16, 24, 32, 40, 48)

(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[ 48, 9 ]
48
-1 45 41 9 10
-2 11 12 45 41
-3 13 46 14 42
-4 46 15 16 42
-5 47 9 10 43
-6 11 12 47 43
-7 44 13 14 48
-8 44 15 48 16
-9 1 5 17 18
-10 1 5 19 20
-11 22 2 6 21
-12 23 2 24 6
-13 3 17 7 18
-14 3 7 19 20
-15 22 4 8 21
-16 23 24 4 8
-17 13 25 26 9
-18 13 27 28 9
-19 14 29 30 10
-20 14 31 10 32
-21 11 25 15 26
-22 11 15 27 28
-23 12 16 29 30
-24 12 16 31 32
-25 33 34 17 21
-26 35 36 17 21
-27 22 37 38 18
-28 22 39 18 40
-29 33 23 34 19
-30 23 35 36 19
-31 24 37 38 20
-32 24 39 40 20
-33 25 29 41 42
-34 44 25 29 43
-35 45 46 26 30
-36 47 26 48 30
-37 27 41 31 42
-38 44 27 31 43
-39 45 46 28 32
-40 47 48 28 32
-41 33 1 2 37
-42 33 3 4 37
-43 34 5 38 6
-44 34 38 7 8
-45 1 2 35 39
-46 35 3 4 39
-47 36 5 6 40
-48 36 7 40 8
0

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