# -*- GAP -*-

Lambda24 :=
rec(
  adjacencies := [ [ 6, 21 ], [ 6, 24 ], [ 5, 22 ], [ 5, 23 ], [ 3, 4, 6 ], [ 1, 2, 5 ], [ 12, 21 ], [ 12, 24 ], 
      [ 11, 22 ], [ 11, 23 ], [ 9, 10, 12 ], [ 7, 8, 11 ], [ 14, 20, 21 ], [ 13, 15 ], [ 14, 16, 22 ], [ 15, 17 ], 
      [ 16, 18, 24 ], [ 17, 19 ], [ 18, 20, 23 ], [ 13, 19 ], [ 1, 7, 13 ], [ 3, 9, 15 ], [ 4, 10, 19 ], [ 2, 8, 17 ] 
     ],
  autGroup := Group( [ ( 3, 4)( 9,10)(14,20)(15,19)(16,18)(22,23), ( 2, 7)( 3,14)( 4,20)( 5,13)( 6,21)( 9,16)(10,18)
        (11,17)(12,24)(15,22)(19,23), ( 1, 2)( 7, 8)(13,17)(14,16)(18,20)(21,24), ( 1, 3)( 2, 4)( 5, 6)( 7, 9)( 8,10)
        (11,12)(13,15)(16,20)(17,19)(21,22)(23,24) ] ),
  forms := [ rec(
          forms := [ [ "[8, 4, 40]" ] ],
          h := 4 ), rec(
          forms := [ [ "[8, 4, 38]" ] ],
          h := 6 ), rec(
          forms := [ [ "[4, 0, 68]", "[8, 4, 36]" ] ],
          h := 8 ), rec(
          forms := [ [ "[2, 0, 128]", "[8, 4, 34]" ] ],
          h := 10 ), rec(
          forms := [ [ "[8, 2, 8]" ], [ "[8, 4, 32]" ] ],
          h := 12 ), rec(
          forms := [ [ "[8, 4, 30]", "[14, 0, 16]" ] ],
          h := 14 ), rec(
          forms := [ [ "[8, 4, 28]" ] ],
          h := 16 ), rec(
          forms := [ [ "[8, 4, 26]" ] ],
          h := 18 ), rec(
          forms := [ [ "[2, 0, 22]", "[6, 2, 8]" ], [ "[8, 4, 24]" ] ],
          h := 20 ), rec(
          forms := [ [ "[8, 4, 22]" ] ],
          h := 22 ), rec(
          forms := [ [ "[4, 0, 4]" ], [ "[8, 4, 20]" ] ],
          h := 24 ), rec(
          forms := [ [ "[2, 0, 64]", "[8, 4, 18]" ] ],
          h := 26 ), rec(
          forms := [ [ "[4, 2, 8]" ], [ "[8, 4, 16]" ] ],
          h := 28 ), rec(
          forms := [ [ "[8, 4, 14]" ] ],
          h := 30 ), rec(
          forms := [ [ "[8, 4, 12]" ] ],
          h := 32 ), rec(
          forms := [ [ "[8, 4, 10]" ] ],
          h := 34 ), rec(
          forms := [ [ "[2, 0, 6]" ], [ "[8, 4, 8]" ] ],
          h := 36 ), rec(
          forms := [ [ "[6, 2, 6]" ] ],
          h := 38 ), rec(
          forms := [ [ "[4, 0, 4]" ] ],
          h := 40 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 8,
      pencils := [ [ 3, 12 ], [ 2, 12 ] ],
      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 := [ 10, 20, 26, 36 ],
  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 ] );

