# -*- GAP -*-

Delta24 :=
rec(
  adjacencies := [ [ 21, 23, 24 ], [ 8, 13, 19 ], [ 12, 19 ], [ 10, 17, 18 ], [ 9, 24 ], [ 18, 23 ], [ 9, 14, 17 ], 
      [ 2, 18, 24 ], [ 5, 7, 16 ], [ 4 ], [ 15 ], [ 3, 14, 20 ], [ 2, 15, 16, 22 ], [ 7, 12, 23 ], [ 11, 13, 23 ], 
      [ 9, 13, 20 ], [ 4, 7, 21, 22 ], [ 4, 6, 8, 20 ], [ 2, 3, 21 ], [ 12, 16, 18 ], [ 1, 17, 19 ], [ 13, 17 ], 
      [ 1, 6, 14, 15 ], [ 1, 5, 8 ] ],
  autGroup := Group( [ ( 1,14)( 2,16)( 3, 5)( 7,21)( 8,20)( 9,19)(12,24), ( 1,16)( 2,14)( 6,22)( 7, 8)( 9,24)(12,19)
        (13,23)(17,18)(20,21), ( 1, 8)( 2,21)( 4,15)( 7,16)(10,11)(13,17)(14,20)(18,23) ] ),
  forms := [ rec(
          forms := [ [ "[4, 1, 4]" ] ],
          h := 20 ) ],
  group := Group( [ () ] ),
  h := [ 20 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 4 ], [ 3, 14 ], [ 2, 4 ], [ 1, 2 ] ],
      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 ],
  order := 24,
  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 ],
  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 ] );

