# -*- GAP -*-

Theta32ii :=
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, 15, 19, 22, 28, 32 ], [ 1, 16, 20, 22, 27, 31 ], [ 1, 25, 26, 28, 29, 31 ], [ 1, 24, 26, 27, 30, 32 ], 
      [ 2, 15, 19, 26, 27, 31 ], [ 2, 16, 20, 26, 28, 32 ], [ 2, 22, 25, 27, 29, 32 ], [ 2, 22, 24, 28, 30, 31 ], 
      [ 3, 23, 24, 25, 27, 28 ], [ 3, 23, 29, 30, 31, 32 ], [ 3, 5, 9, 21, 25, 30 ], [ 3, 6, 10, 21, 24, 29 ], 
      [ 4, 21, 27, 28, 29, 30 ], [ 4, 21, 24, 25, 31, 32 ], [ 4, 5, 9, 23, 24, 29 ], [ 4, 6, 10, 23, 25, 30 ], 
      [ 15, 16, 17, 18, 22, 26 ], [ 5, 6, 11, 12, 21, 23 ], [ 13, 14, 19, 20, 22, 26 ], [ 8, 12, 13, 16, 18, 19 ], 
      [ 7, 11, 13, 15, 18, 20 ], [ 7, 8, 9, 10, 21, 23 ], [ 6, 8, 9, 11, 13, 17 ], [ 5, 7, 10, 12, 13, 17 ], 
      [ 7, 11, 14, 16, 17, 19 ], [ 8, 12, 14, 15, 17, 20 ], [ 6, 7, 9, 12, 14, 18 ], [ 5, 8, 10, 11, 14, 18 ] ],
  autGroup := Group( [ ( 7, 8)(11,12)(13,14)(17,18)(24,29)(25,30)(27,31)(28,32), ( 3, 4)(13,17)(14,18)(15,19)(16,20)
        (21,23)(24,30)(25,29), ( 2,26)( 3, 7)( 4, 8)( 9,10)(11,23)(12,21)(13,25)(14,29)(15,28)(16,31)(17,30)(18,24)
        (19,32)(20,27), ( 5, 6)( 9,10)(13,14)(15,16)(17,18)(19,20)(24,30)(25,29)(27,32)(28,31), 
      ( 1, 2)( 5, 9)( 6,10)( 7,11)( 8,12)(22,26)(27,28)(31,32), ( 1, 3)( 2, 4)( 5,15)( 6,16)( 7,13)( 8,14)( 9,19)
        (10,20)(11,17)(12,18)(21,22)(23,26)(24,31)(25,28)(27,29)(30,32) ] ),
  forms := [ rec(
          forms := [ [ "U(2) + U(4)" ] ],
          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 := [ 8 ],
  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 ] );

