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On this page are computer-accessible forms for the graph C4[ 55, 2 ] = PS(5,11;2).

(I) Following is a form readable by MAGMA:

g:=Graph<55|{ {21, 23}, {44, 47}, {32, 36}, {33, 37}, {43, 46}, {11, 12}, {42, 45}, {32, 39}, {37, 45}, {39, 47}, {38, 46}, {16, 25}, {33, 40}, {18, 27}, {20, 29}, {22, 31}, {4, 14}, {5, 15}, {17, 26}, {21, 30}, {1, 13}, {3, 15}, {2, 14}, {16, 29}, {18, 31}, {2, 12}, {3, 13}, {22, 24}, {17, 30}, {19, 28}, {34, 48}, {39, 53}, {38, 52}, {35, 49}, {15, 28}, {36, 55}, {4, 16}, {7, 19}, {6, 18}, {5, 17}, {12, 25}, {35, 54}, {14, 27}, {6, 16}, {37, 51}, {36, 50}, {7, 17}, {1, 22}, {34, 53}, {15, 24}, {13, 26}, {40, 48}, {44, 52}, {43, 51}, {42, 50}, {41, 49}, {14, 23}, {8, 18}, {9, 19}, {8, 20}, {10, 22}, {9, 21}, {10, 20}, {41, 55}, {40, 54}, {11, 21}, {8, 46}, {9, 47}, {8, 47}, {7, 46}, {7, 45}, {6, 45}, {12, 32}, {13, 33}, {2, 51}, {29, 44}, {6, 55}, {4, 53}, {23, 38}, {25, 40}, {27, 42}, {1, 51}, {5, 55}, {4, 54}, {24, 42}, {25, 43}, {1, 50}, {5, 54}, {19, 32}, {26, 41}, {20, 33}, {2, 52}, {3, 53}, {26, 44}, {3, 52}, {28, 43}, {9, 48}, {31, 38}, {29, 36}, {11, 50}, {27, 34}, {10, 48}, {11, 49}, {10, 49}, {30, 37}, {30, 34}, {31, 35}, {23, 41}, {24, 39}, {28, 35} }>;

(II) A more general form is to represent the graph as the orbit of {21, 23} under the group generated by the following permutations:

a: (1, 12, 23, 34, 45)(2, 21, 27, 37, 50)(3, 19, 31, 40, 55)(4, 17, 24, 43, 49)(5, 15, 28, 35, 54)(6, 13, 32, 38, 48)(7, 22, 25, 41, 53)(8, 20, 29, 44, 47)(9, 18, 33, 36, 52)(10, 16, 26, 39, 46)(11, 14, 30, 42, 51)
b: (2, 11)(3, 10)(4, 9)(5, 8)(6, 7)(13, 22)(14, 21)(15, 20)(16, 19)(17, 18)(24, 33)(25, 32)(26, 31)(27, 30)(28, 29)(35, 44)(36, 43)(37, 42)(38, 41)(39, 40)(46, 55)(47, 54)(48, 53)(49, 52)(50, 51)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)(12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22)(23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33)(34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44)(45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55)

(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[ 55, 2 ]
55
-1 22 13 50 51
-2 12 14 51 52
-3 13 15 52 53
-4 14 16 53 54
-5 55 15 17 54
-6 55 45 16 18
-7 45 46 17 19
-8 46 47 18 20
-9 47 48 19 21
-10 22 48 49 20
-11 12 49 50 21
-12 11 2 25 32
-13 33 1 3 26
-14 23 2 4 27
-15 24 3 5 28
-16 25 4 6 29
-17 26 5 7 30
-18 27 6 8 31
-19 28 7 9 32
-20 33 29 8 10
-21 11 23 30 9
-22 1 24 31 10
-23 14 38 41 21
-24 22 15 39 42
-25 12 16 40 43
-26 44 13 17 41
-27 34 14 18 42
-28 35 15 19 43
-29 44 36 16 20
-30 34 37 17 21
-31 22 35 38 18
-32 12 36 39 19
-33 13 37 40 20
-34 48 27 30 53
-35 49 28 31 54
-36 55 50 29 32
-37 33 45 51 30
-38 23 46 52 31
-39 24 47 53 32
-40 33 25 48 54
-41 55 23 26 49
-42 45 24 27 50
-43 46 25 28 51
-44 47 26 29 52
-45 37 6 7 42
-46 38 7 8 43
-47 44 39 8 9
-48 34 40 9 10
-49 11 35 41 10
-50 11 1 36 42
-51 1 2 37 43
-52 44 2 3 38
-53 34 3 4 39
-54 35 4 5 40
-55 36 5 6 41
0

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