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On this page are computer-accessible forms for the graph C4[ 24, 2 ] = C_24(1,5).

(I) Following is a form readable by MAGMA:

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

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

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