# -*- GAP -*-

Lambda24ii :=
rec(
  adjacencies := [ [ 6, 19, 20 ], [ 6, 22 ], [ 5, 24 ], [ 5, 21, 23 ], [ 3, 4, 6 ], [ 1, 2, 5 ], [ 8, 14, 19 ], 
      [ 7, 9, 23 ], [ 8, 10 ], [ 9, 11, 20 ], [ 10, 12, 22 ], [ 11, 13, 24 ], [ 12, 14, 21 ], [ 7, 13 ], 
      [ 16, 19, 24 ], [ 15, 17 ], [ 16, 22, 23 ], [ 20, 21 ], [ 1, 7, 15 ], [ 1, 10, 18 ], [ 4, 13, 18 ], 
      [ 2, 11, 17 ], [ 4, 8, 17 ], [ 3, 12, 15 ] ],
  autGroup := Group( [ ( 1,11)( 3,16)( 4,23)( 5,17)( 6,22)( 7,13)( 8,21)( 9,18)(10,20)(12,19)(15,24), 
      ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,14)(10,13)(11,12)(15,17)(19,23)(20,21)(22,24), 
      ( 1,23)( 2, 9)( 3,14)( 4,19)( 5, 7)( 6, 8)(10,22)(13,24)(15,21)(16,18)(17,20) ] ),
  forms := [ rec(
          forms := [ [ "[14, 7, 28]" ] ],
          h := 4 ), rec(
          forms := [ [ "[14, 7, 26]" ] ],
          h := 6 ), rec(
          forms := [ [ "[6, 1, 48]", "[12, 5, 26]", "[12, 1, 24]", "[14, 7, 24]" ] ],
          h := 8 ), rec(
          forms := [ [ "[2, 1, 130]", "[14, 7, 22]" ] ],
          h := 10 ), rec(
          forms := [ [ "[12, 3, 20]", "[14, 7, 20]" ] ],
          h := 12 ), rec(
          forms := [ [ "[2, 1, 102]", "[14, 7, 18]" ] ],
          h := 14 ), rec(
          forms := [ [ "[4, 1, 44]", "[14, 7, 16]" ] ],
          h := 16 ), rec(
          forms := [ [ "[14, 7, 14]" ] ],
          h := 18 ), rec(
          forms := [ [ "[6, 1, 20]", "[10, 1, 12]", "[12, 5, 12]" ] ],
          h := 20 ), rec(
          forms := [ [ "[10, 3, 10]" ] ],
          h := 22 ), rec(
          forms := [ [ "[2, 1, 32]", "[8, 1, 8]" ] ],
          h := 24 ), rec(
          forms := [ [ "[6, 1, 6]" ] ],
          h := 26 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 7,
      pencils := [ [ 3, 18 ], [ 2, 6 ] ],
      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, 14, 24 ],
  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 ] );

