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On this page are computer-accessible forms for the graph C4[ 16, 2 ] = R_8(6, 5).

(I) Following is a form readable by MAGMA:

g:=Graph<16|{ {2, 3}, {4, 5}, {6, 7}, {8, 10}, {1, 2}, {12, 15}, {5, 6}, {9, 12}, {11, 14}, {10, 15}, {3, 4}, {10, 13}, {9, 14}, {1, 9}, {4, 12}, {3, 11}, {2, 10}, {5, 13}, {6, 14}, {7, 15}, {1, 8}, {1, 11}, {4, 14}, {5, 15}, {2, 12}, {3, 13}, {7, 9}, {7, 8}, {6, 16}, {8, 16}, {11, 16}, {13, 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:

(2, 8)(3, 7)(4, 6)(9, 11)(12, 16)(13, 15)
(3, 10)(4, 15)(7, 14)(8, 11)
(1, 2, 12, 15, 7, 8)(3, 4, 5, 6, 16, 11)(9, 10)(13, 14)
(2, 11)(4, 13)(6, 15)(8, 9)(10, 14)(12, 16)
(4, 13)(8, 9)(10, 12)(14, 16)

(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[ 16, 2 ]
16
-1 11 2 8 9
-2 1 12 3 10
-3 11 2 13 4
-4 12 3 14 5
-5 13 4 15 6
-6 14 5 16 7
-7 15 6 8 9
-8 1 16 7 10
-9 1 12 14 7
-10 2 13 15 8
-11 1 3 14 16
-12 2 4 15 9
-13 3 5 16 10
-14 11 4 6 9
-15 12 5 7 10
-16 11 13 6 8
0

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