# -*- GAP -*-

bTheta36i :=
rec(
  adjacencies := [ [ 2, 4, 17, 19, 20, 21, 22 ], [ 1, 3, 18, 24, 26, 29, 31, 34 ], [ 2, 4, 17, 23, 27, 30, 32, 35 ], 
      [ 1, 3, 18, 25, 28, 33, 36 ], [ 6, 8, 17, 19, 24, 27, 30 ], [ 5, 7, 18, 20, 21, 22, 31, 35 ], 
      [ 6, 8, 17, 25, 28, 32, 33, 34 ], [ 5, 7, 18, 23, 26, 29, 36 ], [ 10, 12, 17, 20, 29, 33, 34 ], 
      [ 9, 11, 18, 19, 21, 24, 27, 32 ], [ 10, 12, 17, 23, 26, 28, 31, 36 ], [ 9, 11, 18, 22, 25, 30, 35 ], 
      [ 14, 17, 21, 27, 30, 31, 33, 34, 36 ], [ 13, 18, 19, 22, 26, 28, 29, 32, 35 ], [ 16, 17, 22, 24, 29, 31, 36 ], 
      [ 15, 18, 19, 23, 30, 32, 33 ], [ 1, 3, 5, 7, 9, 11, 13, 15, 18 ], [ 2, 4, 6, 8, 10, 12, 14, 16, 17 ], 
      [ 1, 5, 10, 14, 16, 25, 34, 36 ], [ 1, 6, 9, 23, 25, 26, 30, 32, 36 ], [ 1, 6, 10, 13, 23, 28, 29 ], 
      [ 1, 6, 12, 14, 15, 23, 27, 33 ], [ 3, 8, 11, 16, 20, 21, 22, 24, 34 ], [ 2, 5, 10, 15, 23, 25, 28, 33, 35 ], 
      [ 4, 7, 12, 19, 20, 24, 27, 29, 31 ], [ 2, 8, 11, 14, 20, 27, 33 ], [ 3, 5, 10, 13, 22, 25, 26 ], 
      [ 4, 7, 11, 14, 21, 24, 30 ], [ 2, 8, 9, 14, 15, 21, 25, 30 ], [ 3, 5, 12, 13, 16, 20, 28, 29 ], 
      [ 2, 6, 11, 13, 15, 25, 32 ], [ 3, 7, 10, 14, 16, 20, 31 ], [ 4, 7, 9, 13, 16, 22, 24, 26 ], 
      [ 2, 7, 9, 13, 19, 23, 35 ], [ 3, 6, 12, 14, 24, 34, 36 ], [ 4, 8, 11, 13, 15, 19, 20, 35 ] ],
  autGroup := Group( [ ( 1, 4)( 2, 3)( 5, 8)( 6, 7)( 9,12)(10,11)(13,14)(15,16)(17,18)(19,36)(20,25)(21,28)(22,33)
        (23,24)(26,27)(29,30)(31,32)(34,35), ( 1, 5,28,26)( 2,19,30,11)( 3,10,29,36)( 4,27,21, 8)( 6, 7,33,22)
        ( 9,15,35,32)(12,31,34,16)(13,23,18,25)(14,20,17,24), ( 1, 9)( 2,29)( 3,30)( 4,12)( 5,32)( 6, 7)( 8,31)(10,19)
        (11,36)(13,23)(14,24)(15,26)(16,27)(17,20)(18,25)(21,34)(22,33)(28,35) ] ),
  forms := [ rec(
          forms := [ [ "[6, 2, 10]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 9, 8 ], [ 8, 12 ], [ 7, 16 ] ],
      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 := [  ],
  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 ] );

