# -*- GAP -*-

Lambda25 :=
rec(
  adjacencies := [ [ 5, 18, 19 ], [ 5, 20, 23 ], [ 6, 21, 22 ], [ 6, 24, 25 ], [ 1, 2, 6 ], [ 3, 4, 5 ], 
      [ 8, 14, 18 ], [ 7, 9, 22 ], [ 8, 10, 19 ], [ 9, 11, 24 ], [ 10, 12, 23 ], [ 11, 13, 25 ], [ 12, 14, 20 ], 
      [ 7, 13, 21 ], [ 16, 19, 20 ], [ 15, 21, 24 ], [  ], [ 1, 7, 25 ], [ 1, 9, 15 ], [ 2, 13, 15 ], [ 3, 14, 16 ], 
      [ 3, 8, 23 ], [ 2, 11, 22 ], [ 4, 10, 16 ], [ 4, 12, 18 ] ],
  autGroup := Group( [ ( 2, 6)( 3,23)( 4,20)( 7, 9)(10,14)(11,21)(12,16)(13,24)(15,25)(18,19), 
      ( 2, 7)( 3,12)( 5,18)( 6,25)( 8,20)( 9,15)(10,16)(11,21)(13,22)(14,23), ( 1, 2, 6)( 3,18,20)( 4,19,23)( 7,13,21)
        ( 8,12,16)( 9,11,24)(15,22,25), ( 1, 3,25,16,11,19,22,18,21,12,15,23)( 2, 5, 6, 4,24,10, 9, 8, 7,14,13,20) ] )
   ,
  forms := [ rec(
          forms := [ [ "[4, 2, 196]" ] ],
          h := 4 ), rec(
          forms := [ [ "[4, 2, 156]", "[20, 10, 36]" ] ],
          h := 8 ), rec(
          forms := [ [ "[20, 10, 28]" ] ],
          h := 12 ), rec(
          forms := [ [ "[12, 2, 12]" ] ],
          h := 20 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8, 12, 20 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 3, 24 ], [ 0, 1 ] ],
      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 ] );

