# -*- GAP -*-

Theta32 :=
rec(
  adjacencies := [ [ 2, 4, 19, 20, 21, 22 ], [ 1, 3, 23, 24, 27 ], [ 2, 4, 29, 30, 31, 32 ], [ 1, 3, 25, 26, 28 ], 
      [ 6, 8, 19, 20, 24, 25 ], [ 5, 7, 23, 26, 31, 32 ], [ 6, 8, 21, 22 ], [ 5, 7, 27, 28, 29, 30 ], 
      [ 10, 12, 19, 21, 23, 26 ], [ 9, 11, 24, 25, 29, 31 ], [ 10, 12, 20, 22, 27, 28 ], [ 9, 11, 30, 32 ], 
      [ 14, 22, 23, 24, 30 ], [ 13, 21, 25, 28, 32 ], [ 16, 22, 25, 26, 30 ], [ 15, 21, 24, 27, 32 ], [  ], [  ], 
      [ 1, 5, 9, 30 ], [ 1, 5, 11, 32 ], [ 1, 7, 9, 14, 16, 29 ], [ 1, 7, 11, 13, 15, 31 ], [ 2, 6, 9, 13, 28 ], 
      [ 2, 5, 10, 13, 16 ], [ 4, 5, 10, 14, 15 ], [ 4, 6, 9, 15, 27 ], [ 2, 8, 11, 16, 26 ], [ 4, 8, 11, 14, 23 ], 
      [ 3, 8, 10, 21 ], [ 3, 8, 12, 13, 15, 19 ], [ 3, 6, 10, 22 ], [ 3, 6, 12, 14, 16, 20 ] ],
  autGroup := Group( [ ( 2, 4)(13,15)(14,16)(23,26)(24,25)(27,28), ( 1, 5)( 2,24)( 3,10)( 4,25)( 6,22)( 8,21)( 9,30)
        (11,32)(13,23)(14,28)(15,26)(16,27), ( 6, 8)( 9,11)(13,16)(14,15)(19,20)(21,22)(23,27)(26,28)(29,31)(30,32), 
      ( 1, 3)( 5,10)( 6,11)( 7,12)( 8, 9)(13,16)(14,15)(19,29)(20,31)(21,30)(22,32)(23,27)(26,28), 
      ( 1,21)( 2,14)( 3,32)( 4,16)( 5, 8)( 6,30)( 7,19)( 9,22)(10,11)(12,31)(13,23)(15,26)(20,29)(24,28)(25,27), 
      (17,18) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 16]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 12 ], [ 5, 12 ], [ 4, 6 ], [ 0, 2 ] ],
      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 ],
  order := 32,
  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 ],
  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 ] );

