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On this page are computer-accessible forms for the graph C4[ 48, 7 ] = R_24(20,7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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