# -*- GAP -*-

Theta36_4 :=
rec(
  adjacencies := [ [ 2, 4, 19, 20, 21, 22, 23 ], [ 1, 3, 24, 26, 27, 28 ], [ 2, 4, 25, 29, 30, 31 ], 
      [ 1, 3, 32, 33, 34, 35, 36 ], [ 6, 8, 19, 20, 25, 30, 36 ], [ 5, 7, 21, 26, 29, 32 ], [ 6, 8, 22, 28, 31, 33 ], 
      [ 5, 7, 23, 24, 27, 34, 35 ], [ 10, 12, 19, 22, 24, 26, 33 ], [ 9, 11, 20, 28, 29, 35 ], 
      [ 10, 12, 21, 25, 31, 32, 34 ], [ 9, 11, 23, 27, 30, 36 ], [ 14, 16, 19, 27, 31, 33 ], 
      [ 13, 15, 20, 24, 28, 32, 36 ], [ 14, 16, 22, 23, 25, 29, 35 ], [ 13, 15, 21, 26, 30, 34 ], 
      [ 20, 21, 27, 30, 33, 35 ], [ 21, 23, 28, 29, 33, 36 ], [ 1, 5, 9, 13, 29, 34 ], [ 1, 5, 10, 14, 17, 31 ], 
      [ 1, 6, 11, 16, 17, 18, 24 ], [ 1, 7, 9, 15, 30, 32 ], [ 1, 8, 12, 15, 18, 31 ], [ 2, 8, 9, 14, 21, 25 ], 
      [ 3, 5, 11, 15, 24, 33 ], [ 2, 6, 9, 16, 31, 35, 36 ], [ 2, 8, 12, 13, 17, 29, 32 ], 
      [ 2, 7, 10, 14, 18, 30, 34 ], [ 3, 6, 10, 15, 18, 19, 27 ], [ 3, 5, 12, 16, 17, 22, 28 ], 
      [ 3, 7, 11, 13, 20, 23, 26 ], [ 4, 6, 11, 14, 22, 27 ], [ 4, 7, 9, 13, 17, 18, 25 ], [ 4, 8, 11, 16, 19, 28 ], 
      [ 4, 8, 10, 15, 17, 26 ], [ 4, 5, 12, 14, 18, 26 ] ],
  autGroup := Group( [ ( 1,27,26,28)( 4,29,31,30)( 5,33,15,11)( 6, 7,22,32)( 8, 9,14,21)(10,20,17,35)(12,36,18,23)
        (13,16,34,19), ( 1,28)( 4,30)( 5,33)( 6,13)( 7,19)( 8, 9)(10,23)(11,15)(12,35)(14,21)(16,32)(17,36)(18,20)
        (22,34)(26,27)(29,31), ( 1,27,26,28)( 3,24)( 4, 8,31,14)( 5,11,15,33)( 6,10,22,17)( 7,20,32,35)( 9,30,21,29)
        (12,16,18,19)(13,36,34,23), ( 1,30)( 2, 3)( 4,28)( 5,21)( 7,32)( 8,11)( 9,15)(10,35)(12,23)(14,33)(16,19)
        (17,20)(18,36)(24,25)(26,29)(27,31) ] ),
  forms := [ rec(
          forms := [ [ "[12, 0, 16]" ] ],
          h := 4 ) ],
  group := Group( [ () ] ),
  h := [ 4 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 7, 16 ], [ 6, 20 ] ],
      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 ] );

