# -*- GAP -*-

Delta25ii :=
rec(
  adjacencies := [ [ 5, 18, 19 ], [ 5, 20, 21 ], [ 5, 22, 23, 25 ], [ 5, 24 ], [ 1, 2, 3, 4 ], [ 7, 11, 18, 20 ], 
      [ 6, 8, 25 ], [ 7, 9, 19 ], [ 8, 10, 22, 24 ], [ 9, 11, 21 ], [ 6, 10, 23 ], [ 13, 18, 24 ], [ 12, 14, 21, 25 ],
      [ 13, 19 ], [ 16, 20, 24 ], [ 15, 17, 19, 23 ], [ 16, 21 ], [ 1, 6, 12 ], [ 1, 8, 14, 16 ], [ 2, 6, 15 ], 
      [ 2, 10, 13, 17 ], [ 3, 9 ], [ 3, 11, 16 ], [ 4, 9, 12, 15 ], [ 3, 7, 13 ] ],
  autGroup := Group( [ ( 1,12)( 2,15)( 3, 9)( 5,24)( 8,25)(10,23)(13,19)(16,21), ( 1, 2)( 7,11)( 8,10)(12,15)(13,16)
        (14,17)(18,20)(19,21)(23,25), ( 2, 8)( 3,16)( 4,14)( 5,19)( 7,20)( 9,21)(13,24)(15,25)(17,22) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 88]", "[16, 6, 24]" ] ],
          h := 4 ), rec(
          forms := [ [ "[12, 6, 24]" ] ],
          h := 8 ), rec(
          forms := [ [ "[8, 2, 20]" ] ],
          h := 12 ), rec(
          forms := [ [ "[4, 2, 16]" ] ],
          h := 16 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8, 12, 16 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 9 ], [ 3, 12 ], [ 2, 4 ] ],
      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 ],
  order := 25,
  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 ],
  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 ] );

