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On this page are computer-accessible forms for the graph C4[ 24, 3 ] = C_24(1,7).

(I) Following is a form readable by MAGMA:

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

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