# -*- GAP -*-

X56 :=
rec(
  adjacencies := [ [ 4, 11, 13, 17, 22, 29, 32, 35, 38, 41, 44, 47, 50, 51, 52, 53, 54, 55 ], 
      [ 13, 14, 16, 22, 24, 25, 27, 36, 38, 42, 44, 48, 50, 54 ], 
      [ 12, 13, 14, 15, 19, 24, 25, 26, 28, 32, 36, 37, 38, 42, 44, 49, 51, 55 ], 
      [ 1, 11, 15, 16, 20, 23, 24, 25, 28, 30, 34, 37, 38, 42, 45, 48 ], 
      [ 14, 16, 21, 22, 26, 28, 29, 34, 35, 38, 42, 45, 49, 50, 53, 55 ], 
      [ 12, 17, 21, 22, 24, 25, 29, 31, 34, 38, 42, 46, 49, 52, 54, 55 ], 
      [ 12, 14, 16, 19, 20, 22, 25, 27, 28, 29, 31, 37, 38, 43, 44, 48, 51, 55 ], 
      [ 14, 15, 20, 25, 26, 29, 31, 32, 38, 43, 44, 49, 50, 54 ], 
      [ 13, 14, 18, 24, 28, 30, 31, 32, 35, 38, 43, 45, 48, 52, 54, 55 ], 
      [ 12, 13, 16, 17, 18, 25, 26, 30, 32, 38, 43, 46, 48, 50, 53, 55 ], 
      [ 1, 4, 12, 14, 18, 19, 21, 26, 27, 31, 33, 36, 38, 43, 46, 49 ], 
      [ 3, 6, 7, 10, 11, 30, 34, 35, 39, 41, 45, 47, 50, 54 ], 
      [ 1, 2, 3, 9, 10, 20, 21, 29, 31, 33, 34, 37, 39, 41, 45, 49 ], 
      [ 2, 3, 5, 7, 8, 9, 11, 17, 23, 30, 33, 34, 39, 41, 46, 47, 52, 53 ], 
      [ 3, 4, 8, 18, 22, 31, 34, 35, 36, 39, 41, 46, 48, 50, 52, 55 ], 
      [ 2, 4, 5, 7, 10, 31, 32, 35, 36, 39, 41, 46, 49, 51, 52, 54 ], 
      [ 1, 6, 10, 14, 23, 26, 27, 28, 31, 35, 36, 37, 39, 42, 44, 48 ], 
      [ 9, 10, 11, 15, 22, 25, 27, 28, 29, 39, 42, 44, 49, 51, 53, 54 ], 
      [ 3, 7, 11, 29, 32, 35, 39, 42, 45, 48, 50, 52, 53, 54 ], 
      [ 4, 7, 8, 13, 21, 26, 27, 30, 35, 39, 42, 46, 47, 53, 54, 55 ], 
      [ 5, 6, 11, 13, 20, 25, 28, 32, 36, 39, 43, 44, 48, 50, 51, 52 ], 
      [ 1, 2, 5, 6, 7, 15, 18, 26, 30, 32, 33, 37, 39, 43, 45, 47 ], 
      [ 4, 14, 17, 25, 29, 32, 39, 43, 45, 49, 50, 51, 54, 55 ], 
      [ 2, 3, 4, 6, 9, 26, 27, 29, 35, 39, 43, 46, 47, 50, 51, 53 ], 
      [ 2, 3, 4, 6, 7, 8, 10, 18, 21, 23, 33, 35, 40, 41, 45, 47, 52, 53 ], 
      [ 3, 5, 8, 10, 11, 17, 20, 22, 24, 40, 41, 45, 48, 51, 52, 54 ], 
      [ 2, 7, 11, 17, 18, 20, 24, 32, 34, 40, 41, 45, 49, 50, 52, 55 ], 
      [ 3, 4, 5, 7, 9, 17, 18, 21, 40, 41, 46, 47, 50, 54 ], 
      [ 1, 5, 6, 7, 8, 13, 18, 19, 23, 24, 30, 36, 40, 41, 46, 48 ], 
      [ 4, 9, 10, 12, 14, 20, 22, 29, 36, 40, 42, 44, 49, 50, 51, 52 ], 
      [ 6, 7, 8, 9, 11, 13, 15, 16, 17, 40, 42, 45, 47, 50, 51, 53 ], 
      [ 1, 3, 8, 9, 10, 16, 19, 21, 22, 23, 27, 34, 40, 42, 46, 47 ], 
      [ 11, 13, 14, 22, 25, 35, 40, 42, 46, 48, 50, 51, 54, 55 ], 
      [ 4, 5, 6, 12, 13, 14, 15, 27, 32, 40, 43, 44, 48, 51, 53, 54 ], 
      [ 1, 5, 9, 12, 15, 16, 17, 19, 20, 24, 25, 33, 40, 43, 44, 49 ], 
      [ 2, 3, 11, 15, 16, 17, 21, 29, 30, 40, 43, 45, 47, 53, 54, 55 ], 
      [ 3, 4, 7, 13, 17, 22, 40, 43, 46, 49, 50, 52, 53, 54 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 39, 40, 56 ], 
      [ 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 38, 40, 56 ], 
      [ 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 56 ], 
      [ 1, 12, 13, 14, 15, 16, 25, 26, 27, 28, 29, 42, 43, 56 ], 
      [ 2, 3, 4, 5, 6, 17, 18, 19, 20, 30, 31, 32, 33, 41, 43, 56 ], 
      [ 7, 8, 9, 10, 11, 21, 22, 23, 24, 34, 35, 36, 37, 41, 42, 56 ], 
      [ 1, 2, 3, 7, 8, 17, 18, 21, 30, 34, 35, 45, 46, 56 ], 
      [ 4, 5, 9, 12, 13, 19, 22, 23, 25, 26, 27, 31, 36, 44, 46, 56 ], 
      [ 6, 10, 11, 14, 15, 16, 20, 24, 28, 29, 32, 33, 37, 44, 45, 56 ], 
      [ 1, 12, 14, 20, 22, 24, 25, 28, 31, 32, 36, 48, 49, 56 ], 
      [ 2, 4, 7, 9, 10, 15, 17, 19, 21, 26, 29, 33, 34, 47, 49, 56 ], 
      [ 3, 5, 6, 8, 11, 13, 16, 18, 23, 27, 30, 35, 37, 47, 48, 56 ], 
      [ 1, 2, 5, 8, 10, 12, 15, 19, 21, 23, 24, 27, 28, 30, 31, 33, 37, 56 ], 
      [ 1, 3, 7, 16, 18, 21, 23, 24, 26, 30, 31, 33, 34, 56 ], [ 1, 6, 9, 14, 15, 16, 19, 21, 25, 26, 27, 30, 37, 56 ]
        , [ 1, 5, 10, 14, 18, 19, 20, 24, 25, 31, 34, 36, 37, 56 ], 
      [ 1, 2, 6, 8, 9, 12, 16, 18, 19, 20, 23, 26, 28, 33, 34, 36, 37, 56 ], 
      [ 1, 3, 5, 6, 7, 9, 10, 15, 20, 23, 27, 33, 36, 56 ], 
      [ 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55 ] ],
  autGroup := Group( [ ( 3, 7)( 5, 9)( 6,10)(13,22)(15,20)(16,24)(18,21)(26,31)(27,36)(29,32)(30,34)(41,47)(42,48)
        (43,49)(50,54)(52,53), ( 1,56)( 4,39)( 5,10)( 6, 9)(11,40)(12,28)(13,42)(14,25)(17,45)(18,34)(19,37)(21,30)
        (22,48)(29,43)(32,49)(35,46), ( 4,17)( 5,18)( 6,30)( 9,21)(10,34)(11,35)(14,25)(15,26)(16,27)(20,31)(24,36)
        (38,44)(39,45)(40,46)(50,54)(51,55), ( 1,56)( 2, 8)( 3, 7)( 4,40)(11,39)(13,43)(15,27)(16,26)(17,46)(20,36)
        (22,49)(23,33)(24,31)(29,42)(32,48)(35,45), ( 1,56)( 2,12)( 3,25, 7,14)( 4,43,17,49)( 5,15,21,31)( 6,16,34,36)
        ( 8,28)( 9,26,18,20)(10,27,30,24)(11,42,35,48)(13,45,22,39)(19,33)(23,37)(29,46,32,40)(38,41,44,47)
        (51,53,55,52), ( 1,14,50, 3)( 2,19,44,53, 8,37,38,52)( 4, 9,27,42,35,34,31,49)( 5,15,13,11,30,24,32,17)
        ( 6,16,48,45,18,20,43,40)( 7,56,25,54)(10,26,22,39,21,36,29,46)(12,51,47,23,28,55,41,33) ] ),
  forms := [ rec(
          forms := [ [ "[8, 0, 8]" ] ],
          h := 4 ) ],
  group := Group( [ () ] ),
  h := [ 4 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 18, 8 ], [ 16, 32 ], [ 14, 16 ] ],
      regular := false,
      transitive := -1 ),
  isGraph := true,
  isSimple := true,
  names := [ 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, 56 ]
   ,
  order := 56,
  real := [  ],
  representatives := [ 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, 56 ],
  schreierVector := [ -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, -56 ] );

