# -*- GAP -*-

Delta26 :=
rec(
  adjacencies := [ [ 5, 19, 20, 26 ], [ 5, 21, 22, 25 ], [ 5, 23 ], [ 5, 24 ], [ 1, 2, 3, 4 ], [ 7, 11, 19, 24 ], 
      [ 6, 8, 21 ], [ 7, 9, 20 ], [ 8, 10, 22, 23 ], [ 9, 11, 26 ], [ 6, 10, 25 ], [ 13, 17, 19, 23 ], 
      [ 12, 14, 21 ], [ 13, 15, 20 ], [ 14, 16, 22, 24 ], [ 15, 17, 26 ], [ 12, 16, 25 ], [ 23, 24 ], [ 1, 6, 12 ], 
      [ 1, 8, 14 ], [ 2, 7, 13 ], [ 2, 9, 15 ], [ 3, 9, 12, 18 ], [ 4, 6, 15, 18 ], [ 2, 11, 17 ], [ 1, 10, 16 ] ],
  autGroup := Group( [ ( 7,11)( 8,10)(13,17)(14,16)(20,26)(21,25), ( 1, 2)( 6,15)( 7,14)( 8,13)( 9,12)(10,17)(11,16)
        (19,22)(20,21)(25,26), ( 1, 9)( 2,12)( 4,18)( 5,23)( 6,15)( 7,14)( 8,20)(10,26)(11,16)(13,21)(17,25)(19,22), 
      ( 1, 2)( 3, 4)( 6, 9)( 7, 8)(10,11)(12,15)(13,14)(16,17)(19,22)(20,21)(23,24)(25,26) ] ),
  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, 14 ], [ 2, 3 ] ],
      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 ],
  order := 26,
  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 ]
   ,
  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 ] );

