# -*- GAP -*-

bTheta36iii :=
rec(
  adjacencies := [ [ 2, 4, 16, 18, 19, 20, 21, 22, 23 ], [ 1, 3, 17, 24, 28, 30 ], [ 2, 4, 16, 27, 29, 34, 35, 36 ], 
      [ 1, 3, 17, 25, 26, 31, 32, 33 ], [ 6, 8, 16, 18, 19, 29, 33, 35 ], [ 5, 7, 17, 20, 21, 22, 27 ], 
      [ 6, 8, 16, 24, 25, 31, 36 ], [ 5, 7, 17, 23, 26, 28, 30, 32, 34 ], [ 10, 16, 20, 23, 29, 31, 32, 35 ], 
      [ 9, 17, 18, 21, 25, 28, 30, 33, 36 ], [ 12, 16, 20, 23, 26, 30, 33 ], [ 11, 17, 18, 24, 29, 31, 34, 36 ], 
      [ 16, 18, 19, 25, 30, 32, 34 ], [ 17, 18, 20, 26, 32, 35, 36 ], [ 17, 19, 22, 23, 25, 33, 35 ], 
      [ 1, 3, 5, 7, 9, 11, 13, 17 ], [ 2, 4, 6, 8, 10, 12, 14, 15, 16 ], [ 1, 5, 10, 12, 13, 14, 27 ], 
      [ 1, 5, 13, 15, 24, 26, 28, 31, 36 ], [ 1, 6, 9, 11, 14, 24, 25, 28, 34 ], [ 1, 6, 10, 26, 31, 34, 35 ], 
      [ 1, 6, 15, 29, 30, 32, 34, 36 ], [ 1, 8, 9, 11, 15, 27, 36 ], [ 2, 7, 12, 19, 20, 27, 32, 33, 35 ], 
      [ 4, 7, 10, 13, 15, 20, 27, 29 ], [ 4, 8, 11, 14, 19, 21, 27, 29 ], [ 3, 6, 18, 23, 24, 25, 26, 30 ], 
      [ 2, 8, 10, 19, 20, 29 ], [ 3, 5, 9, 12, 22, 25, 26, 28 ], [ 2, 8, 10, 11, 13, 22, 27, 31, 35 ], 
      [ 4, 7, 9, 12, 19, 21, 30 ], [ 4, 8, 9, 13, 14, 22, 24 ], [ 4, 5, 10, 11, 15, 24, 34 ], 
      [ 3, 8, 12, 13, 20, 21, 22, 33 ], [ 3, 5, 9, 14, 15, 21, 24, 30 ], [ 3, 7, 10, 12, 14, 19, 22, 23 ] ],
  autGroup := Group( [ ( 1,24)( 4,27)( 5, 9)( 6,31)( 7,21)( 8,10)(11,15)(12,22)(13,14)(16,35)(17,30)(18,32)(19,20)
        (23,33)(25,26)(34,36), ( 1,19)( 2,28)( 3,29)( 4,26)( 5,16)( 6, 7)( 8,17)( 9,35)(10,30)(11,33)(12,34)(13,18)
        (14,32)(15,23)(20,24)(21,31)(22,36)(25,27) ] ),
  forms := [ rec(
          forms := [ [ "[2, 1, 30]", "[6, 1, 10]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 9, 8 ], [ 8, 14 ], [ 7, 12 ], [ 6, 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, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
      29, 30, 31, 32, 33, 34, 35, 36 ],
  order := 36,
  real := [ 6 ],
  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, 25, 26, 
      27, 28, 29, 30, 31, 32, 33, 34, 35, 36 ],
  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, -25, -26, -27, -28, -29, -30, -31, -32, -33, -34, -35, -36 ] );

