# -*- GAP -*-

Theta36 :=
rec(
  adjacencies := [ [ 2, 4, 18, 19, 20, 21 ], [ 1, 3, 27, 30, 32, 33, 34 ], [ 2, 4, 22, 23, 24, 25, 26 ], 
      [ 1, 3, 28, 29, 31, 35, 36 ], [ 6, 8, 18, 24, 26, 28, 36 ], [ 5, 7, 19, 20, 22, 30, 33 ], 
      [ 6, 8, 23, 29, 31, 34 ], [ 5, 7, 21, 25, 27, 32, 35 ], [ 10, 12, 18, 23, 26, 30, 32 ], 
      [ 9, 11, 19, 22, 29, 34, 36 ], [ 10, 12, 24, 27, 33, 35 ], [ 9, 11, 20, 21, 25, 28, 31 ], 
      [ 14, 18, 19, 23, 27, 31 ], [ 13, 20, 25, 26, 29, 33, 35 ], [ 16, 18, 21, 24, 29, 33 ], 
      [ 15, 20, 22, 26, 27, 31, 34 ], [ 19, 21, 26, 27, 28, 29, 30 ], [ 1, 5, 9, 13, 15, 34, 35 ], 
      [ 1, 6, 10, 13, 17, 24, 25 ], [ 1, 6, 12, 14, 16, 32, 36 ], [ 1, 8, 12, 15, 17, 22, 23 ], 
      [ 3, 6, 10, 16, 21, 35 ], [ 3, 7, 9, 13, 21, 33, 36 ], [ 3, 5, 11, 15, 19, 31, 32 ], [ 3, 8, 12, 14, 19, 34 ], 
      [ 3, 5, 9, 14, 16, 17 ], [ 2, 8, 11, 13, 16, 17, 36 ], [ 4, 5, 12, 17, 33, 34 ], [ 4, 7, 10, 14, 15, 17, 32 ], 
      [ 2, 6, 9, 17, 31, 35 ], [ 4, 7, 12, 13, 16, 24, 30 ], [ 2, 8, 9, 20, 24, 29 ], [ 2, 6, 11, 14, 15, 23, 28 ], 
      [ 2, 7, 10, 16, 18, 25, 28 ], [ 4, 8, 11, 14, 18, 22, 30 ], [ 4, 5, 10, 20, 23, 27 ] ],
  autGroup := Group( [ ( 2,19)( 3,17)( 4,21)( 5,16)( 6,34)( 8,31)( 9,14)(10,33)(12,35)(13,32)(15,36)(18,20)(22,28)
        (23,29)(24,27)(25,30), ( 2, 4)( 5, 9)( 6,12)( 7,11)( 8,10)(13,15)(14,16)(19,21)(22,25)(23,24)(27,29)(28,30)
        (31,33)(32,36)(34,35), ( 1, 7)( 2,23)( 3,33)( 4, 6)( 5,35)( 8,18)( 9,27)(10,17)(11,26)(12,16)(13,32)(14,24)
        (15,25)(19,29)(20,31)(21,34)(22,28)(30,36), ( 1,13,36)( 2,14,10)( 3,35, 9)( 4,18,23)( 5,21,31)( 6,17,16)
        ( 7,28,15)( 8,12,24)(11,32,25)(19,27,20)(22,30,26)(29,34,33) ] ),
  forms := [ rec(
          forms := [ [ "[4, 0, 40]" ] ],
          h := 4 ), rec(
          forms := [ [ "[2, 0, 36]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 7, 24 ], [ 6, 12 ] ],
      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 ] );

