# -*- GAP -*-

Lambda24iii :=
rec(
  adjacencies := [ [ 6, 21, 24 ], [ 6, 22, 23 ], [ 5 ], [ 5 ], [ 3, 4, 6 ], [ 1, 2, 5 ], [ 12, 21 ], [ 12, 23 ], 
      [ 11, 22 ], [ 11, 24 ], [ 9, 10, 12 ], [ 7, 8, 11 ], [ 14, 20, 21 ], [ 13, 15, 22 ], [ 14, 16 ], [ 15, 17 ], 
      [ 16, 18, 23 ], [ 17, 19, 24 ], [ 18, 20 ], [ 13, 19 ], [ 1, 7, 13 ], [ 2, 9, 14 ], [ 2, 8, 17 ], [ 1, 10, 18 ] 
     ],
  autGroup := Group( [ ( 7,10)( 8, 9)(11,12)(13,18)(14,17)(15,16)(19,20)(21,24)(22,23), 
      ( 1, 2)( 7, 8)( 9,10)(13,17)(14,18)(15,19)(16,20)(21,23)(22,24), (3,4) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 8]" ] ],
          h := 28 ) ],
  group := Group( [ () ] ),
  h := [ 28 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 7,
      pencils := [ [ 3, 14 ], [ 2, 8 ], [ 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 ] );

