# -*- GAP -*-

Delta27ii :=
rec(
  adjacencies := [ [ 5, 20, 21 ], [ 5, 23, 24 ], [ 5, 22, 25 ], [ 5, 26, 27 ], [ 1, 2, 3, 4 ], [ 7, 11, 20, 22 ], 
      [ 6, 8, 23 ], [ 7, 9, 21 ], [ 8, 10, 24, 27 ], [ 9, 11, 25 ], [ 6, 10, 26 ], [ 13, 17, 20, 24 ], 
      [ 12, 14, 25 ], [ 13, 15, 21 ], [ 14, 16, 22, 27 ], [ 15, 17, 23 ], [ 12, 16, 26 ], [ 19, 21, 26 ], 
      [ 18, 23, 25 ], [ 1, 6, 12 ], [ 1, 8, 14, 18 ], [ 3, 6, 15 ], [ 2, 7, 16, 19 ], [ 2, 9, 12 ], [ 3, 10, 13, 19 ],
      [ 4, 11, 17, 18 ], [ 4, 9, 15 ] ],
  autGroup := Group( [ ( 2,14)( 3, 8)( 4,18)( 5,21)( 7,22)( 9,25)(13,24)(15,23)(19,27), 
      ( 2, 3)( 6,12)( 7,13)( 8,14)( 9,15)(10,16)(11,17)(22,24)(23,25), ( 1, 2)( 3, 4)( 6, 9)( 7, 8)(10,11)(13,17)
        (14,16)(18,19)(20,24)(21,23)(22,27)(25,26) ] ),
  forms := [ rec(
          forms := [ [ "[6, 3, 36]", "[12, 3, 18]" ] ],
          h := 8 ), rec(
          forms := [ [ "[6, 3, 18]" ] ],
          h := 14 ) ],
  group := Group( [ () ] ),
  h := [ 8, 14 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 9 ], [ 3, 18 ] ],
      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 ] );

