# -*- GAP -*-

Lambda24i :=
rec(
  adjacencies := [ [ 6, 19, 20 ], [ 6, 21 ], [ 5, 22, 23 ], [ 5, 24 ], [ 3, 4, 6 ], [ 1, 2, 5 ], [ 8, 14, 19 ], 
      [ 7, 9, 22 ], [ 8, 10, 21 ], [ 9, 11 ], [ 10, 12, 20 ], [ 11, 13, 23 ], [ 12, 14 ], [ 7, 13, 24 ], [ 16, 20 ], 
      [ 15, 17, 24 ], [ 16, 18, 21 ], [ 17, 23 ], [ 1, 7 ], [ 1, 11, 15 ], [ 2, 9, 17 ], [ 3, 8 ], [ 3, 12, 18 ], 
      [ 4, 14, 16 ] ],
  autGroup := Group( [ ( 1,17)( 3, 8)( 4,10)( 5, 9)( 6,21)( 7,23)(11,24)(12,14)(16,20)(18,19), 
      ( 1, 9)( 3,16)( 4,18)( 5,17)( 6,21)( 7,11)( 8,20)(10,19)(12,14)(15,22)(23,24), 
      ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,14)(10,13)(11,12)(15,18)(16,17)(19,22)(20,23)(21,24) ] ),
  forms := [ rec(
          forms := [ [ "[12, 0, 28]" ] ],
          h := 4 ), rec(
          forms := [ [ "[12, 0, 26]" ] ],
          h := 6 ), rec(
          forms := [ [ "[12, 0, 24]" ], [ "[6, 0, 12]" ] ],
          h := 8 ), rec(
          forms := [ [ "[4, 0, 66]", "[12, 0, 22]" ] ],
          h := 10 ), rec(
          forms := [ [ "[12, 0, 20]" ], [ "[8, 2, 8]" ] ],
          h := 12 ), rec(
          forms := [ [ "[12, 0, 18]" ], [ "[2, 0, 12]" ] ],
          h := 14 ), rec(
          forms := [ [ "[12, 0, 16]" ], [ "[4, 0, 12]" ] ],
          h := 16 ), rec(
          forms := [ [ "[12, 0, 14]" ] ],
          h := 18 ), rec(
          forms := [ [ "[12, 0, 12]" ], [ "[6, 0, 6]" ] ],
          h := 20 ), rec(
          forms := [ [ "[10, 0, 12]" ] ],
          h := 22 ), rec(
          forms := [ [ "[2, 0, 12]" ], [ "[8, 0, 12]" ] ],
          h := 24 ), rec(
          forms := [ [ "[6, 0, 12]" ] ],
          h := 26 ), rec(
          forms := [ [ "[4, 0, 12]" ], [ "[4, 2, 4]" ] ],
          h := 28 ), rec(
          forms := [ [ "[2, 0, 12]" ] ],
          h := 30 ), rec(
          forms := [ [ "U(1) + [12]" ] ],
          h := 32 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 8,
      pencils := [ [ 3, 16 ], [ 2, 8 ] ],
      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 := [ 14, 24, 30, 32 ],
  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 ] );

