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On this page are computer-accessible forms for the graph C4[ 24, 6 ] = R_12(5,10).

(I) Following is a form readable by MAGMA:

g:=Graph<24|{ {2, 3}, {8, 9}, {6, 7}, {4, 5}, {10, 11}, {13, 15}, {21, 23}, {20, 22}, {17, 19}, {16, 18}, {1, 2}, {5, 6}, {9, 10}, {18, 20}, {19, 21}, {3, 4}, {8, 15}, {11, 12}, {7, 14}, {6, 13}, {1, 13}, {3, 15}, {2, 14}, {1, 12}, {22, 24}, {7, 8}, {4, 23}, {4, 16}, {12, 24}, {7, 19}, {6, 18}, {5, 17}, {1, 20}, {3, 22}, {14, 24}, {2, 21}, {9, 16}, {11, 18}, {13, 23}, {10, 17}, {8, 20}, {11, 23}, {9, 21}, {10, 22}, {5, 24}, {14, 16}, {15, 17}, {12, 19} }>;

(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: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 20)(14, 19)(15, 18)(16, 17)(21, 24)(22, 23)
b: (1, 2, 21, 19, 7, 8, 15, 13)(3, 23, 12, 14, 9, 17, 6, 20)(4, 11, 24, 16, 10, 5, 18, 22)
c: (2, 13)(3, 23)(5, 16)(6, 14)(8, 19)(9, 17)(11, 22)(12, 20)(15, 21)(18, 24)

(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[ 24, 6 ]
24
-1 12 2 13 20
-2 1 3 14 21
-3 22 2 4 15
-4 23 3 5 16
-5 24 4 6 17
-6 13 5 7 18
-7 14 6 8 19
-8 15 7 9 20
-9 16 8 10 21
-10 11 22 17 9
-11 12 23 18 10
-12 11 1 24 19
-13 1 23 15 6
-14 2 24 16 7
-15 13 3 17 8
-16 14 4 18 9
-17 15 5 19 10
-18 11 16 6 20
-19 12 17 7 21
-20 22 1 18 8
-21 23 2 19 9
-22 24 3 20 10
-23 11 13 4 21
-24 22 12 14 5
0

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