# -*- GAP -*-

Theta33 :=
rec(
  adjacencies := [ [ 2, 4, 22, 23, 33 ], [ 1, 3, 28, 29, 30 ], [ 2, 4, 24, 25, 26 ], [ 1, 3, 27, 31, 32 ], 
      [ 6, 8, 22, 25, 28 ], [ 5, 7, 23, 29, 32 ], [ 6, 8, 26, 27, 33 ], [ 5, 7, 24, 30, 31 ], 
      [ 10, 12, 22, 26, 29, 31 ], [ 9, 11, 23, 24 ], [ 10, 12, 25, 30, 32, 33 ], [ 9, 11, 27, 28 ], 
      [ 14, 16, 22, 25, 27 ], [ 13, 15, 23, 30, 31 ], [ 14, 16, 26, 28, 33 ], [ 13, 15, 24, 29, 32 ], 
      [ 18, 20, 22, 24, 33 ], [ 17, 19, 28, 31, 32 ], [ 18, 20, 23, 25, 26 ], [ 17, 19, 27, 29, 30 ], 
      [ 23, 24, 27, 28 ], [ 1, 5, 9, 13, 17 ], [ 1, 6, 10, 14, 19, 21 ], [ 3, 8, 10, 16, 17, 21 ], 
      [ 3, 5, 11, 13, 19 ], [ 3, 7, 9, 15, 19 ], [ 4, 7, 12, 13, 20, 21 ], [ 2, 5, 12, 15, 18, 21 ], 
      [ 2, 6, 9, 16, 20 ], [ 2, 8, 11, 14, 20 ], [ 4, 8, 9, 14, 18 ], [ 4, 6, 11, 16, 18 ], [ 1, 7, 11, 15, 17 ] ],
  autGroup := Group( [ ( 1,17)( 2,20)( 3,19)( 4,18)( 5,13)( 6,16)( 7,15)( 8,14)(23,24)(27,28), 
      ( 2, 4)( 5,13)( 6,14)( 7,15)( 8,16)(18,20)(27,28)(29,31)(30,32), ( 1, 3)( 6, 8)( 9,11)(14,16)(17,19)(22,25)
        (23,24)(26,33)(29,30)(31,32), ( 1, 3)( 5,15)( 6,16)( 7,13)( 8,14)(17,19)(22,26)(23,24)(25,33), 
      ( 1, 6)( 2, 5)( 3, 8)( 4, 7)(13,20)(14,19)(15,18)(16,17)(22,29)(25,30)(26,31)(32,33), 
      ( 1,22)( 2, 5)( 3,25)( 4,13)( 6,29)( 7,20)( 8,30)( 9,23)(11,24)(12,21)(14,31)(15,18)(16,32)(17,33)(19,26), 
      ( 1, 5,17,13)( 2, 8,20,14)( 3, 7,19,15)( 4, 6,18,16)(10,12)(23,28,24,27)(25,33)(29,31) ] ),
  forms := [ rec(
          forms := [ [ "[8, 4, 28]" ] ],
          h := 4 ), rec(
          forms := [ [ "[8, 4, 12]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 6 ], [ 5, 24 ], [ 4, 3 ] ],
      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 ],
  order := 33,
  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 ],
  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 ] );

