# -*- GAP -*-

Delta28i :=
rec(
  adjacencies := [ [ 5, 21, 22 ], [ 5, 24, 28 ], [ 5, 23, 26 ], [ 5, 25, 27 ], [ 1, 2, 3, 4 ], [ 10, 21, 24 ],
      [ 10, 23, 27 ], [ 10, 22, 28 ], [ 10, 25, 26 ], [ 6, 7, 8, 9 ], [ 15, 21, 25 ], [ 15, 23, 28 ], [ 15, 22, 27 ],
      [ 15, 24, 26 ], [ 11, 12, 13, 14 ], [ 20, 21, 23 ], [ 20, 25, 28 ], [ 20, 22, 26 ], [ 20, 24, 27 ],
      [ 16, 17, 18, 19 ], [ 1, 6, 11, 16 ], [ 1, 8, 13, 18 ], [ 3, 7, 12, 16 ], [ 2, 6, 14, 19 ], [ 4, 9, 11, 17 ],
      [ 3, 9, 14, 18 ], [ 4, 7, 13, 19 ], [ 2, 8, 12, 17 ] ],
  autGroup := Group( [ ( 2,18,11)( 3,13, 6)( 4, 8,16)( 5,22,21)( 9,12,19)(10,23,27)(15,24,26)(20,25,28),
      ( 3, 4)( 6, 8)(11,18)(12,19)(13,16)(14,17)(15,20)(21,22)(23,27)(24,28)(25,26),
      ( 6, 8)( 7, 9)(11,13)(12,14)(16,18)(17,19)(21,22)(23,26)(24,28)(25,27), ( 1, 2)( 3, 4)(11,14)(12,13)(16,19)
        (17,18)(21,24)(22,28)(23,27)(25,26) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 12]" ] ],
          h := 8 ), rec(
          forms := [ [ "[4, 2, 8]" ] ],
          h := 12 ) ],
  group := Group( [ () ] ),
  h := [ 8, 12 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 12 ], [ 3, 16 ] ],
      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, 28 ],
  order := 28,
  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 ],
  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 ] );
