# -*- GAP -*-

Delta27i :=
rec(
  adjacencies := [ [ 5, 19, 20, 25 ], [ 5, 21, 22 ], [ 5, 23, 24 ], [ 5, 26, 27 ], [ 1, 2, 3, 4 ], [ 10, 19, 23 ], 
      [ 10, 21, 25 ], [ 10, 20, 26 ], [ 10, 22, 24, 27 ], [ 6, 7, 8, 9 ], [ 15, 19, 24 ], [ 15, 22, 25 ], 
      [ 15, 20, 27 ], [ 15, 21, 23, 26 ], [ 11, 12, 13, 14 ], [ 19, 21, 27 ], [ 20, 22, 23 ], [ 24, 25, 26 ], 
      [ 1, 6, 11, 16 ], [ 1, 8, 13, 17 ], [ 2, 7, 14, 16 ], [ 2, 9, 12, 17 ], [ 3, 6, 14, 17 ], [ 3, 9, 11, 18 ], 
      [ 1, 7, 12, 18 ], [ 4, 8, 14, 18 ], [ 4, 9, 13, 16 ] ],
  autGroup := Group( [ ( 1,14, 9)( 3,16,12)( 4, 7,17)( 5,21,22)( 6,13,18)(10,20,26)(15,24,19)(23,27,25), 
      ( 1, 9)( 3,17)( 4,12)( 5,22)( 7,16)( 8,11)(10,19)(13,18)(15,26)(20,24)(25,27), 
      ( 2, 3, 4)( 6, 8, 7)(11,13,12)(16,17,18)(19,20,25)(21,23,26)(22,24,27) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 76]" ] ],
          h := 4 ), rec(
          forms := [ [ "[12, 6, 20]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 15 ], [ 3, 12 ] ],
      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 ],
  order := 27,
  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 ],
  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 ] );

