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On this page are computer-accessible forms for the graph C4[ 48, 16 ] = SDD(W(6,2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 31} under the group generated by the following permutations:

a: (2, 3)(4, 6)(5, 8)(9, 12)(13, 16)(14, 17)(18, 20)(23, 24)(25, 26)(27, 29)(28, 31)(30, 34)(32, 37)(33, 38)(35, 40)(36, 41)(39, 44)(42, 45)(43, 46)(47, 48)
b: (4, 14)
c: (8, 12)(16, 24)(31, 38)(37, 44)(41, 46)(45, 48)
d: (5, 9)(13, 23)(28, 33)(32, 39)(36, 43)(42, 47)
e: (11, 15)(19, 22)(36, 42)(41, 45)(43, 47)(46, 48)
f: (1, 2)(3, 5)(4, 7)(6, 9)(8, 11)(10, 14)(12, 15)(13, 17)(16, 19)(18, 21)(20, 23)(22, 24)(26, 28)(27, 30)(29, 33)(31, 36)(32, 34)(37, 43)(38, 42)(39, 40)(44, 47)(45, 46)
g: (6, 17)
h: (15, 19)
m: (3, 6)(17, 20)(26, 29)(31, 37)(34, 40)(38, 44)
n1: (7, 10)
a1: (9, 13)
b1: (12, 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[ 48, 16 ]
48
-1 25 26 27 29
-2 33 25 28 30
-3 34 26 38 31
-4 35 27 39 32
-5 36 28 42 32
-6 44 37 29 40
-7 34 35 40 30
-8 45 37 41 31
-9 33 47 39 43
-10 34 35 40 30
-11 46 36 41 43
-12 44 46 48 38
-13 33 47 39 43
-14 35 27 39 32
-15 45 47 48 42
-16 44 46 48 38
-17 44 37 29 40
-18 33 25 28 30
-19 45 47 48 42
-20 34 26 38 31
-21 25 26 27 29
-22 46 36 41 43
-23 36 28 42 32
-24 45 37 41 31
-25 1 2 18 21
-26 1 3 20 21
-27 1 14 4 21
-28 23 2 5 18
-29 1 6 17 21
-30 2 7 18 10
-31 24 3 8 20
-32 23 14 4 5
-33 2 13 18 9
-34 3 7 20 10
-35 14 4 7 10
-36 11 22 23 5
-37 24 6 17 8
-38 12 3 16 20
-39 13 14 4 9
-40 6 17 7 10
-41 11 22 24 8
-42 23 15 5 19
-43 11 22 13 9
-44 12 16 6 17
-45 24 15 8 19
-46 11 22 12 16
-47 13 15 19 9
-48 12 15 16 19
0

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