# -*- GAP -*-

Theta36ii :=
rec(
  adjacencies := [ [ 3, 4, 5, 6, 7, 8 ], [ 3, 4, 9, 10, 11, 12 ], [ 1, 2, 13, 14, 15, 16 ], [ 1, 2, 17, 18, 19, 20 ], 
      [ 1, 9, 23, 25, 28, 34 ], [ 1, 10, 22, 29, 32, 34 ], [ 1, 11, 23, 26, 27, 36 ], [ 1, 12, 22, 30, 31, 36 ], 
      [ 2, 5, 24, 30, 31, 33 ], [ 2, 6, 24, 26, 27, 35 ], [ 2, 7, 21, 29, 32, 33 ], [ 2, 8, 21, 25, 28, 35 ], 
      [ 3, 17, 21, 27, 31, 34 ], [ 3, 18, 24, 28, 29, 36 ], [ 3, 19, 23, 29, 31, 35 ], [ 3, 20, 22, 27, 28, 33 ], 
      [ 4, 13, 24, 25, 32, 36 ], [ 4, 14, 21, 26, 30, 34 ], [ 4, 15, 22, 25, 26, 33 ], [ 4, 16, 23, 30, 32, 35 ], 
      [ 11, 12, 13, 18, 22, 23 ], [ 6, 8, 16, 19, 21, 24 ], [ 5, 7, 15, 20, 21, 24 ], [ 9, 10, 14, 17, 22, 23 ], 
      [ 5, 12, 17, 19, 27, 29 ], [ 7, 10, 18, 19, 28, 31 ], [ 7, 10, 13, 16, 25, 30 ], [ 5, 12, 14, 16, 26, 32 ], 
      [ 6, 11, 14, 15, 25, 30 ], [ 8, 9, 18, 20, 27, 29 ], [ 8, 9, 13, 15, 26, 32 ], [ 6, 11, 17, 20, 28, 31 ], 
      [ 9, 11, 16, 19, 34, 36 ], [ 5, 6, 13, 18, 33, 35 ], [ 10, 12, 15, 20, 34, 36 ], [ 7, 8, 14, 17, 33, 35 ] ],
  autGroup := Group( [ ( 3, 4)(13,18)(14,17)(15,20)(16,19)(25,28)(26,27)(29,32)(30,31), 
      ( 6, 7)(10,11)(13,15)(14,16)(17,19)(18,20)(21,35)(22,36)(23,34)(24,33)(26,32)(27,29), 
      ( 5, 6)( 7, 8)( 9,10)(11,12)(15,16)(19,20)(22,23)(25,32)(26,30)(27,31)(28,29)(33,35), 
      ( 1, 2)( 5, 9)( 6,10)( 7,11)( 8,12)(13,14)(15,16)(17,18)(19,20)(21,36)(22,35)(23,33)(24,34)(25,30)(26,32)(27,29)
        (28,31), ( 1, 3)( 2, 4)( 5,13, 8,14)( 6,15, 7,16)( 9,17,12,18)(10,19,11,20)(21,30,24,25)(22,29,23,27)
        (26,33,32,35)(28,34,31,36), ( 1, 5)( 2,12)( 3,25)( 4,28)( 6,23)( 7,34)( 8, 9)(10,21)(11,35)(13,27)(14,19)
        (15,29)(16,17)(18,26)(20,32)(22,24)(30,31)(33,36) ] ),
  forms := [ rec(
          forms := [ [ "[6, 0, 6]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 36 ] ],
      regular := 6,
      transitive := 0 ),
  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 ] );

