# -*- GAP -*-

Lambda24E :=
rec(
  adjacencies := [ [ 2, 22 ], [ 1, 3 ], [ 2, 4, 6 ], [ 3, 5 ], [ 4, 23 ], [ 3, 7 ], [ 6, 24 ], [ 9, 22 ], [ 8, 10 ], 
      [ 9, 11, 13 ], [ 10, 12 ], [ 11, 23 ], [ 10, 14 ], [ 13, 24 ], [ 16, 22 ], [ 15, 17 ], [ 16, 18, 20 ], 
      [ 17, 19 ], [ 18, 23 ], [ 17, 21 ], [ 20, 24 ], [ 1, 8, 15 ], [ 5, 12, 19 ], [ 7, 14, 21 ] ],
  autGroup := Group( [ ( 4, 6)( 5, 7)(11,13)(12,14)(18,20)(19,21)(23,24), ( 8,15)( 9,16)(10,17)(11,18)(12,19)(13,20)
        (14,21), ( 1, 2)( 3,22)( 4, 8)( 5, 9)( 6,15)( 7,16)(10,23)(11,12)(13,19)(14,18)(17,24)(20,21), 
      ( 1, 4,12, 9)( 2, 5,11, 8)( 3,23,10,22)( 6,19,13,15)( 7,18,14,16)(17,24)(20,21) ] ),
  forms := [ rec(
          forms := [ [ "[2, 1, 2]" ] ],
          h := 78 ) ],
  group := Group( [ () ] ),
  h := [ 78 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 12,
      pencils := [ [ 3, 6 ], [ 2, 18 ] ],
      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 := [ 78 ],
  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 ] );

