# -*- GAP -*-

Theta19ii :=
rec(
  adjacencies := [ [ 2, 4, 16, 17 ], [ 1, 3, 15 ], [ 2, 4, 18, 19 ], [ 1, 3, 15 ], [ 6, 8, 16, 17, 18, 19 ], 
      [ 5, 7, 15 ], [ 6, 8 ], [ 5, 7, 15 ], [ 10, 12, 16, 17 ], [ 9, 11, 15 ], [ 10, 12, 18, 19 ], [ 9, 11, 15 ], 
      [  ], [  ], [ 2, 4, 6, 8, 10, 12 ], [ 1, 5, 9 ], [ 1, 5, 9 ], [ 3, 5, 11 ], [ 3, 5, 11 ] ],
  autGroup := Group( [ (10,12), (18,19), (16,17), ( 1, 3)( 9,11)(16,18)(17,19), (2,4), ( 1, 9)( 2,10)( 3,11)( 4,12), 
      ( 2,16)( 3, 9)( 4,17)( 5,15)(10,18)(12,19), (6,8), (13,14) ] ),
  forms := [ rec(
          forms := [ fail ],
          h := 4 ), rec(
          forms := [ fail ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 2 ], [ 4, 4 ], [ 3, 10 ], [ 2, 1 ], [ 0, 2 ] ],
      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 ],
  order := 19,
  real := [ 4, 8 ],
  representatives := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ],
  schreierVector := [ -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19 ] );

