# -*- GAP -*-

Y56 :=
rec(
  adjacencies := [ [ 8, 12, 20, 22, 26, 32, 33, 34, 35, 37, 38, 39, 46, 52, 53, 54 ], 
      [ 21, 24, 25, 26, 31, 32, 33, 39, 41, 42, 43, 46, 48, 52, 53, 54 ], 
      [ 9, 11, 19, 21, 24, 25, 31, 34, 36, 38, 44, 46, 50, 52, 53, 54 ], 
      [ 6, 13, 14, 20, 21, 23, 26, 29, 33, 34, 36, 37, 42, 53, 54, 55 ], 
      [ 15, 22, 23, 25, 26, 28, 30, 33, 35, 36, 38, 44, 48, 53, 54, 55 ], 
      [ 4, 13, 17, 18, 22, 25, 27, 28, 31, 38, 39, 41, 44, 51, 52, 53 ], 
      [ 14, 15, 19, 23, 25, 27, 33, 35, 38, 43, 44, 46, 48, 51, 53, 55 ], 
      [ 1, 12, 15, 17, 18, 21, 23, 24, 25, 29, 30, 36, 40, 43, 51, 53 ], 
      [ 3, 11, 14, 15, 16, 18, 26, 27, 35, 37, 40, 41, 42, 48, 51, 53 ], 
      [ 14, 17, 18, 25, 27, 28, 30, 31, 33, 34, 37, 45, 48, 50, 52, 53 ], 
      [ 3, 9, 17, 20, 22, 23, 28, 29, 30, 32, 33, 39, 43, 45, 53, 55 ], 
      [ 1, 8, 14, 16, 19, 27, 28, 31, 41, 42, 44, 45, 48, 50, 53, 55 ], 
      [ 4, 6, 15, 16, 19, 24, 30, 32, 35, 40, 43, 45, 46, 48, 50, 53 ], 
      [ 4, 7, 9, 10, 12, 22, 24, 29, 30, 32, 38, 39, 43, 49, 52, 54 ], 
      [ 5, 7, 8, 9, 13, 28, 31, 32, 34, 37, 39, 41, 49, 50, 52, 54 ], 
      [ 9, 12, 13, 20, 25, 30, 31, 33, 34, 36, 38, 39, 46, 49, 54, 55 ], 
      [ 6, 8, 10, 11, 19, 26, 32, 34, 35, 38, 41, 46, 48, 49, 54, 55 ], 
      [ 6, 8, 9, 10, 33, 35, 36, 39, 42, 43, 44, 46, 49, 50, 54, 55 ], 
      [ 3, 7, 12, 13, 17, 26, 28, 29, 33, 36, 37, 39, 42, 49, 51, 52 ], 
      [ 1, 4, 11, 16, 25, 27, 28, 35, 41, 43, 44, 48, 49, 50, 51, 52 ], 
      [ 2, 3, 4, 8, 27, 28, 30, 35, 37, 38, 39, 48, 49, 50, 51, 55 ], 
      [ 1, 5, 6, 11, 14, 24, 31, 36, 37, 40, 42, 46, 48, 49, 50, 51 ], 
      [ 4, 5, 7, 8, 11, 27, 31, 34, 39, 41, 42, 45, 46, 49, 50, 52 ], 
      [ 2, 3, 8, 13, 14, 22, 27, 28, 33, 34, 35, 41, 44, 45, 49, 55 ], 
      [ 2, 3, 5, 6, 7, 8, 10, 16, 20, 29, 32, 37, 40, 42, 45, 49 ], 
      [ 1, 2, 4, 5, 9, 17, 19, 27, 30, 31, 40, 43, 44, 45, 49, 50 ], 
      [ 6, 7, 9, 10, 12, 20, 21, 23, 24, 26, 32, 36, 40, 46, 47, 54 ], 
      [ 5, 6, 10, 11, 12, 15, 19, 20, 21, 24, 40, 42, 43, 46, 47, 54 ], 
      [ 4, 8, 11, 14, 19, 25, 31, 35, 40, 41, 44, 46, 47, 48, 50, 54 ], 
      [ 5, 8, 10, 11, 13, 14, 16, 21, 26, 41, 42, 44, 46, 47, 51, 52 ], 
      [ 2, 3, 6, 10, 12, 15, 16, 22, 23, 26, 29, 35, 43, 47, 51, 55 ], 
      [ 1, 2, 11, 13, 14, 15, 17, 25, 27, 36, 42, 44, 47, 50, 51, 55 ], 
      [ 1, 2, 4, 5, 7, 10, 11, 16, 18, 19, 24, 40, 41, 47, 50, 51 ], 
      [ 1, 3, 4, 10, 15, 16, 17, 23, 24, 40, 42, 43, 44, 47, 48, 51 ], 
      [ 1, 5, 7, 9, 13, 17, 18, 20, 21, 24, 29, 31, 42, 45, 47, 52 ], 
      [ 3, 4, 5, 8, 16, 18, 19, 22, 27, 32, 41, 43, 45, 47, 48, 52 ], 
      [ 1, 4, 9, 10, 15, 19, 21, 22, 25, 41, 43, 44, 45, 46, 47, 55 ], 
      [ 1, 3, 5, 6, 7, 14, 16, 17, 21, 40, 41, 42, 43, 45, 47, 50 ], 
      [ 1, 2, 6, 11, 14, 15, 16, 18, 19, 21, 23, 40, 44, 45, 47, 48 ], 
      [ 8, 9, 13, 22, 25, 26, 27, 28, 29, 33, 34, 38, 39, 52, 55, 56 ], 
      [ 2, 6, 9, 12, 15, 17, 20, 23, 24, 29, 30, 33, 36, 37, 38, 56 ], 
      [ 2, 4, 9, 12, 18, 19, 22, 23, 25, 28, 30, 32, 34, 35, 38, 56 ], 
      [ 2, 7, 8, 11, 13, 14, 18, 20, 26, 28, 31, 34, 36, 37, 38, 56 ], 
      [ 3, 5, 6, 7, 12, 18, 20, 24, 26, 29, 30, 32, 34, 37, 39, 56 ], 
      [ 10, 11, 12, 13, 23, 24, 25, 26, 35, 36, 37, 38, 39, 51, 54, 56 ], 
      [ 1, 2, 3, 7, 13, 16, 17, 18, 22, 23, 27, 28, 29, 30, 37, 56 ], 
      [ 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 49, 53, 56 ], 
      [ 2, 5, 7, 9, 10, 12, 13, 17, 20, 21, 22, 29, 34, 36, 39, 56 ], 
      [ 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 47, 53, 56 ], 
      [ 3, 10, 12, 13, 15, 18, 20, 21, 22, 23, 26, 29, 32, 33, 38, 56 ], 
      [ 6, 7, 8, 9, 19, 20, 21, 22, 30, 31, 32, 33, 34, 45, 54, 56 ], 
      [ 1, 2, 3, 6, 10, 14, 15, 19, 20, 23, 30, 35, 36, 40, 55, 56 ], 
      [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 47, 49, 56 ], 
      [ 1, 2, 3, 4, 5, 14, 15, 16, 17, 18, 27, 28, 29, 45, 51, 56 ], 
      [ 4, 5, 7, 11, 12, 16, 17, 18, 21, 24, 31, 32, 37, 40, 52, 56 ], 
      [ 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55 ] ],
  autGroup := Group( [ ( 2,17)( 3,18)( 4,45)( 6,24)( 8,52)(10,21)(11,42)(12,20)(14,51)(19,43)(25,55)(29,56)(31,49)
        (33,38)(34,39)(35,53), ( 2,17)( 3,18)( 4,51)( 5,15)( 6,21)( 7,23)( 8,53)( 9,36)(10,24)(11,43)(13,30)(14,45)
        (19,42)(22,37)(25,49)(26,32)(29,56)(31,55)(33,34)(35,52)(38,39)(40,47)(41,48)(44,50), 
      ( 1,12)( 2,10)( 3, 6)( 4, 9)( 5, 7)(11,13)(14,26)(15,23)(16,20)(17,24)(18,21)(19,22)(27,54)(28,46)(29,40)(30,43)
        (31,52)(32,45)(33,48)(34,41)(35,55)(36,51)(37,42)(38,44)(39,50)(47,56), 
      ( 1,29,16,56)( 2,17, 3,18)( 4,30,45,22)( 5,23)( 6,21,10,24)( 7,15)( 8,25,49,53)( 9,43,32,19)(11,36,42,26)
        (12,40,20,47)(13,51,37,14)(27,28)(31,55,52,35)(33,41,38,50)(34,44,39,48)(46,54), 
      ( 1,33)( 2,53)( 3,25)( 4,26)( 5,54)( 6,31)( 7,46)( 8,24)( 9,42)(10,52)(11,32)(12,41)(13,43)(14,30)(15,28)(16,38)
        (17,55)(18,35)(19,37)(20,50)(21,49)(22,51)(23,27)(29,44)(34,40)(36,45)(39,47)(48,56) ] ),
  forms := [ rec(
          forms := [ [ "[2, 0, 32]" ] ],
          h := 4 ) ],
  group := Group( [ () ] ),
  h := [ 4 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 16, 56 ] ],
      regular := 16,
      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 := [ 4 ],
  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 ] );

