# -*- GAP -*-

Theta36i :=
rec(
  adjacencies := [ [ 3, 4, 5, 6, 7, 8, 9 ], [ 3, 4, 10, 11, 12, 13 ], [ 1, 2, 14, 15, 16, 17, 18 ], 
      [ 1, 2, 19, 20, 21, 22 ], [ 1, 10, 16, 26, 29, 32, 34 ], [ 1, 11, 19, 23, 30, 34 ], [ 1, 12, 24, 25 ], 
      [ 1, 17, 20, 31, 33, 35 ], [ 1, 27, 28, 30, 32, 35 ], [ 2, 5, 21, 25, 33, 35 ], [ 2, 6, 18, 24, 29, 31, 35 ], 
      [ 2, 7, 27, 28, 31, 33, 34 ], [ 2, 17, 20, 30, 32, 34, 36 ], [ 3, 22, 30, 33 ], [ 3, 23, 25, 27, 34, 35 ], 
      [ 3, 5, 21, 23, 28, 31, 36 ], [ 3, 8, 13, 24, 26, 27 ], [ 3, 11, 19, 25, 28, 32 ], [ 4, 6, 18, 26, 27, 33, 36 ],
      [ 4, 8, 13, 23, 25, 28, 29 ], [ 4, 10, 16, 24, 27, 30 ], [ 4, 14, 24, 26, 28, 34, 35 ], 
      [ 6, 15, 16, 20, 24, 33 ], [ 7, 11, 17, 21, 22, 23, 32 ], [ 7, 10, 15, 18, 20, 26, 30 ], 
      [ 5, 17, 19, 22, 25, 31 ], [ 9, 12, 15, 17, 19, 21, 29 ], [ 9, 12, 16, 18, 20, 22 ], [ 5, 11, 20, 27 ], 
      [ 6, 9, 13, 14, 21, 25, 31 ], [ 8, 11, 12, 16, 26, 30 ], [ 5, 9, 13, 18, 24, 33 ], 
      [ 8, 10, 12, 14, 19, 23, 32 ], [ 5, 6, 12, 13, 15, 22 ], [ 8, 9, 10, 11, 15, 22, 36 ], [ 13, 16, 19, 35 ] ],
  autGroup := Group( [ ( 1,24,25,12)( 2, 4,21,10)( 3,22,30,33)( 5,11,20,27)( 6,23,15,34)( 8,17,26,31)( 9,32,18,28)
        (13,19,16,35), ( 1,12)( 2, 8)( 3,33)( 4,31)( 5,27)( 6,28)( 9,34)(10,17)(11,20)(13,35)(15,32)(16,19)(18,23)
        (21,26)(22,30)(24,25), ( 1,24,25,12)( 2, 6,21,15)( 3,11,30,27)( 4,23,10,34)( 5,22,20,33)( 8,32,26,28)
        ( 9,17,18,31)(13,19,16,35)(14,29), ( 1,33)( 3,12)( 4,10)( 5,19)( 6,32)( 7,14)( 9,23)(11,13)(15,28)(16,27)
        (17,31)(18,34)(20,35)(22,25)(24,30)(29,36) ] ),
  forms := [ rec(
          forms := [ [ "[4, 0, 8]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 7, 16 ], [ 6, 16 ], [ 4, 4 ] ],
      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 ] );

