# -*- GAP -*-

Q56 :=
rec(
  adjacencies := [ [ 6, 10, 20, 21, 23, 26, 30, 37, 39, 41, 46, 47, 48, 49, 51, 54 ], 
      [ 3, 7, 17, 21, 24, 25, 27, 31, 32, 34, 36, 37, 40, 46, 53, 54 ], 
      [ 2, 7, 15, 16, 20, 26, 28, 38, 39, 42, 44, 45, 48, 49, 51, 54 ], 
      [ 15, 16, 18, 19, 21, 25, 26, 27, 29, 30, 33, 42, 49, 53, 54, 55 ], 
      [ 14, 16, 17, 18, 23, 25, 28, 30, 31, 36, 41, 42, 48, 53, 54, 55 ], 
      [ 1, 10, 14, 15, 17, 19, 22, 28, 29, 32, 36, 42, 44, 53, 54, 55 ], 
      [ 2, 3, 14, 18, 19, 22, 23, 29, 30, 33, 35, 41, 47, 52, 54, 55 ], 
      [ 16, 17, 19, 20, 21, 23, 24, 28, 29, 32, 34, 47, 48, 52, 54, 55 ], 
      [ 15, 17, 18, 21, 22, 24, 28, 30, 31, 35, 44, 47, 49, 52, 54, 55 ], 
      [ 1, 6, 16, 18, 24, 25, 27, 31, 33, 34, 35, 38, 40, 45, 52, 54 ], 
      [ 15, 16, 17, 22, 23, 26, 29, 30, 33, 34, 36, 41, 51, 52, 53, 54 ], 
      [ 14, 16, 19, 21, 22, 27, 28, 30, 31, 34, 48, 49, 51, 52, 53, 54 ], 
      [ 14, 15, 18, 20, 21, 23, 27, 28, 29, 32, 35, 44, 51, 52, 53, 54 ], 
      [ 5, 6, 7, 12, 13, 24, 26, 33, 34, 38, 39, 40, 46, 47, 49, 50 ], 
      [ 3, 4, 6, 9, 11, 13, 31, 34, 37, 38, 40, 41, 46, 47, 48, 50 ], 
      [ 3, 4, 5, 8, 10, 11, 12, 32, 35, 37, 39, 40, 44, 46, 47, 50 ], 
      [ 2, 5, 6, 8, 9, 11, 27, 33, 35, 38, 39, 45, 46, 49, 50, 51 ], 
      [ 4, 5, 7, 9, 10, 13, 32, 34, 36, 37, 39, 45, 46, 48, 50, 51 ], 
      [ 4, 6, 7, 8, 12, 31, 35, 36, 37, 38, 41, 44, 45, 46, 50, 51 ], 
      [ 1, 3, 8, 13, 22, 25, 30, 31, 33, 34, 35, 36, 46, 50, 53, 55 ], 
      [ 1, 2, 4, 8, 9, 12, 13, 33, 36, 38, 39, 40, 41, 42, 45, 50 ], 
      [ 6, 7, 9, 11, 12, 20, 25, 27, 32, 37, 39, 40, 42, 45, 48, 50 ], 
      [ 1, 5, 7, 8, 11, 13, 27, 31, 37, 38, 40, 42, 44, 45, 49, 50 ], 
      [ 2, 8, 9, 10, 14, 26, 29, 30, 37, 41, 42, 44, 48, 50, 51, 53 ], 
      [ 2, 4, 5, 10, 20, 22, 28, 29, 38, 41, 44, 47, 49, 50, 51, 52 ], 
      [ 1, 3, 4, 11, 14, 24, 27, 28, 31, 32, 35, 36, 45, 50, 52, 55 ], 
      [ 2, 4, 10, 12, 13, 17, 22, 23, 26, 41, 43, 44, 46, 47, 48, 55 ], 
      [ 3, 5, 6, 8, 9, 12, 13, 25, 26, 33, 37, 40, 41, 43, 45, 46 ], 
      [ 4, 6, 7, 8, 11, 13, 24, 25, 31, 39, 40, 43, 45, 46, 48, 49 ], 
      [ 1, 4, 5, 7, 9, 11, 12, 20, 24, 32, 38, 40, 43, 44, 45, 46 ], 
      [ 2, 5, 9, 10, 12, 15, 19, 20, 23, 26, 29, 39, 42, 43, 47, 51 ], 
      [ 2, 6, 8, 13, 16, 18, 22, 26, 30, 38, 41, 42, 43, 47, 49, 51 ], 
      [ 4, 7, 10, 11, 14, 17, 20, 21, 28, 37, 42, 43, 44, 47, 48, 51 ], 
      [ 2, 8, 10, 11, 12, 14, 15, 18, 20, 41, 42, 43, 44, 45, 49, 55 ], 
      [ 7, 9, 10, 13, 16, 17, 19, 20, 26, 40, 41, 42, 43, 48, 49, 53 ], 
      [ 2, 5, 6, 11, 18, 19, 20, 21, 26, 40, 43, 44, 47, 48, 49, 52 ], 
      [ 1, 2, 15, 16, 18, 19, 22, 23, 24, 28, 33, 43, 49, 52, 53, 55 ], 
      [ 3, 10, 14, 15, 17, 19, 21, 23, 25, 30, 32, 43, 48, 52, 53, 55 ], 
      [ 1, 3, 14, 16, 17, 18, 21, 22, 29, 31, 41, 43, 44, 52, 53, 55 ], 
      [ 2, 10, 14, 15, 16, 21, 22, 23, 28, 29, 30, 35, 36, 51, 55, 56 ], 
      [ 1, 5, 7, 11, 15, 19, 21, 24, 25, 27, 28, 32, 34, 35, 39, 56 ], 
      [ 3, 4, 5, 6, 21, 22, 23, 24, 31, 32, 33, 34, 35, 46, 52, 56 ], 
      [ 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 50, 54, 56 ], 
      [ 3, 6, 9, 13, 16, 19, 23, 24, 25, 27, 30, 33, 34, 36, 39, 56 ], 
      [ 3, 10, 17, 18, 19, 21, 22, 23, 26, 28, 29, 30, 34, 47, 53, 56 ], 
      [ 1, 2, 14, 15, 16, 17, 18, 19, 20, 27, 28, 29, 30, 42, 52, 56 ], 
      [ 1, 7, 8, 9, 14, 15, 16, 25, 27, 31, 32, 33, 36, 45, 53, 56 ], 
      [ 1, 3, 5, 8, 12, 15, 18, 22, 24, 27, 29, 33, 35, 36, 38, 56 ], 
      [ 1, 3, 4, 9, 12, 14, 17, 23, 25, 29, 32, 34, 35, 36, 37, 56 ], 
      [ 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 43, 54, 56 ], 
      [ 1, 3, 11, 12, 13, 17, 18, 19, 24, 25, 31, 32, 33, 40, 55, 56 ], 
      [ 7, 8, 9, 10, 11, 12, 13, 25, 26, 36, 37, 38, 39, 42, 46, 56 ], 
      [ 2, 4, 5, 6, 11, 12, 13, 20, 24, 35, 37, 38, 39, 45, 47, 56 ], 
      [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 43, 50, 56 ], 
      [ 4, 5, 6, 7, 8, 9, 20, 26, 27, 34, 37, 38, 39, 40, 51, 56 ], 
      [ 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55 ] ],
  autGroup := Group( [ ( 3,24)( 4,52)( 5,22)( 6,23)( 7,53)( 8,15)( 9,16)(10,49)(11,55)(12,18)(13,19)(14,45)(17,40)
        (20,41)(21,46)(27,36)(28,50)(29,38)(30,39)(31,32)(33,56)(37,54), ( 3,27)( 4,28)( 5,29)( 6,30)( 7,17)( 8,18)
        ( 9,19)(10,20)(11,14)(12,15)(13,16)(21,37)(22,38)(23,39)(24,36)(40,53)(41,49)(42,43)(45,55)(46,54)(47,51)
        (50,52), ( 2,43)( 3,33)( 4,16)( 5,19)( 6,23)( 7,28)( 8,55)( 9,52)(10,49)(11,15)(12,18)(13,22)(14,45)(17,38)
        (21,39)(24,56)(25,35)(26,47)(27,32)(29,40)(30,46)(31,36)(37,54)(42,44)(48,51)(50,53), 
      ( 1, 2)( 3,49,36,20)( 4,52,50,28)( 5,55,38,14)( 6,53,39,17)( 7,23,40,30)( 8,15,12,18)( 9,19,13,16)(10,24,41,27)
        (11,22,45,29)(21,46,54,37)(25,26)(31,51,32,47)(33,42,56,43)(34,48)(35,44) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 16]" ] ],
          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 := [  ],
  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 ] );

