# -*- GAP -*-

Lambda28 :=
rec(
  adjacencies := [ [ 5, 21, 22 ], [ 5, 23, 25 ], [ 6, 24, 28 ], [ 6, 26, 27 ], [ 1, 2, 6 ], [ 3, 4, 5 ], 
      [ 11, 21, 28 ], [ 11, 23, 27 ], [ 12, 22, 26 ], [ 12, 24, 25 ], [ 7, 8, 12 ], [ 9, 10, 11 ], [ 14, 20, 21 ], 
      [ 13, 15, 27 ], [ 14, 16, 24 ], [ 15, 17, 22 ], [ 16, 18, 23 ], [ 17, 19, 28 ], [ 18, 20, 26 ], [ 13, 19, 25 ], 
      [ 1, 7, 13 ], [ 1, 9, 16 ], [ 2, 8, 17 ], [ 3, 10, 15 ], [ 2, 10, 20 ], [ 4, 9, 19 ], [ 4, 8, 14 ], 
      [ 3, 7, 18 ] ],
  autGroup := Group( [ ( 2, 6)( 3,25)( 4,23)( 7,13)( 8,27)( 9,16)(10,24)(11,14)(12,15)(17,26)(18,19)(20,28), 
      ( 2, 6)( 3,23)( 4,25)( 7,16)( 8,24)( 9,13)(10,27)(11,15)(12,14)(17,28)(20,26)(21,22), 
      ( 2, 7)( 3,20)( 4,14)( 5,21)( 6,13)( 9,16)(10,18)(11,23)(12,17)(15,26)(19,24)(25,28), 
      ( 1, 2)( 3, 4)( 7, 8)( 9,10)(13,17)(14,18)(15,19)(16,20)(21,23)(22,25)(24,26)(27,28) ] ),
  forms := [ rec(
          forms := [ [ "[2, 1, 4]" ] ],
          h := 28 ) ],
  group := Group( [ () ] ),
  h := [ 28 ],
  info := rec(
      bipartite := false,
      distance_regular := true,
      girth := 7,
      pencils := [ [ 3, 28 ] ],
      regular := 3,
      transitive := 3 ),
  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 ],
  order := 28,
  real := [ 28 ],
  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 ],
  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 ] );

