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On this page are computer-accessible forms for the graph C4[ 48, 11 ] = PL(WH_8(2,1,4,5),[4^6,6^4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 29} under the group generated by the following permutations:

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

(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, 11 ]
48
-1 33 26 40 31
-2 33 35 26 27
-3 38 39 30 32
-4 47 26 38 43
-5 34 38 30 42
-6 44 36 26 43
-7 36 28 39 32
-8 45 25 39 31
-9 33 46 41 32
-10 44 48 40 30
-11 25 37 42 43
-12 34 36 28 42
-13 37 29 40 31
-14 25 48 27 39
-15 33 46 25 42
-16 44 45 35 30
-17 37 41 32 43
-18 34 45 41 31
-19 45 35 47 28
-20 47 48 28 40
-21 44 46 36 29
-22 35 37 27 29
-23 34 48 27 41
-24 46 47 38 29
-25 11 14 15 8
-26 1 2 4 6
-27 22 23 2 14
-28 12 7 19 20
-29 22 13 24 21
-30 3 5 16 10
-31 1 13 18 8
-32 3 17 7 9
-33 1 2 15 9
-34 12 23 5 18
-35 22 2 16 19
-36 12 6 7 21
-37 11 22 13 17
-38 24 3 4 5
-39 3 14 7 8
-40 1 13 20 10
-41 23 17 18 9
-42 11 12 15 5
-43 11 4 6 17
-44 16 6 10 21
-45 16 18 8 19
-46 24 15 9 21
-47 24 4 19 20
-48 23 14 20 10
0

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