# -*- GAP -*-

Theta32iii :=
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, 17, 24, 28, 32 ], [ 1, 10, 18, 26, 29, 31 ], [ 1, 11, 19, 23, 25, 27 ], [ 1, 13, 20, 23, 28, 29 ], 
      [ 2, 5, 14, 21, 26, 29 ], [ 2, 6, 15, 22, 23, 25 ], [ 2, 7, 16, 28, 30, 32 ], [ 2, 13, 20, 25, 26, 32 ], 
      [ 3, 8, 12, 24, 27, 31 ], [ 3, 9, 17, 23, 27, 30 ], [ 3, 10, 18, 21, 24, 28 ], [ 3, 11, 19, 22, 29, 31 ], 
      [ 4, 5, 14, 22, 25, 31 ], [ 4, 6, 15, 27, 30, 32 ], [ 4, 7, 16, 21, 24, 26 ], [ 4, 8, 12, 21, 22, 30 ], 
      [ 9, 15, 19, 20, 23, 31 ], [ 10, 16, 17, 20, 27, 28 ], [ 7, 8, 10, 14, 21, 32 ], [ 5, 13, 15, 19, 25, 30 ], 
      [ 7, 10, 12, 17, 24, 29 ], [ 6, 9, 12, 19, 27, 28 ], [ 7, 13, 14, 18, 22, 26 ], [ 5, 8, 11, 15, 22, 26 ], 
      [ 6, 8, 9, 16, 25, 30 ], [ 11, 14, 18, 20, 24, 29 ], [ 6, 13, 16, 17, 21, 32 ], [ 5, 11, 12, 18, 23, 31 ] ],
  autGroup := Group( [ ( 5, 6, 7)( 9,10,11)(14,15,16)(17,18,19)(21,22,30)(23,28,29)(24,31,27)(25,32,26), 
      ( 2,17)( 3, 5)( 6, 7)( 9,14)(10,25)(11,31)(12,22)(13,28)(15,24)(16,32)(18,19)(21,30)(23,29)(26,27), 
      ( 2,13)( 4, 8)( 6, 7)( 9,24)(10,27)(11,31)(14,15)(17,28)(18,23)(19,29)(21,30)(25,26), 
      ( 1, 2)( 3, 4)( 5, 9)( 6,11)( 7,10)( 8,12)(13,20)(14,17)(15,19)(16,18)(21,24)(22,27)(23,25)(26,28)(29,32)
        (30,31) ] ),
  forms := [ rec(
          forms := [ [ "U(3) + U(3)" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 32 ] ],
      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 ],
  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 ] );

