# -*- GAP -*-

Theta32i :=
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, 14, 21, 25, 32 ], [ 1, 10, 18, 24, 28, 32 ], [ 1, 15, 19, 23, 26, 29 ], [ 1, 21, 26, 28, 30, 31 ], 
      [ 2, 5, 20, 23, 26, 27 ], [ 2, 6, 16, 22, 26, 29 ], [ 2, 15, 19, 21, 28, 32 ], [ 2, 23, 29, 30, 31, 32 ], 
      [ 3, 24, 26, 27, 31, 32 ], [ 3, 5, 20, 24, 29, 30 ], [ 3, 7, 11, 22, 25, 31 ], [ 3, 10, 18, 21, 27, 30 ], 
      [ 4, 22, 25, 26, 30, 32 ], [ 4, 6, 16, 23, 25, 31 ], [ 4, 7, 11, 24, 27, 30 ], [ 4, 9, 14, 22, 28, 31 ], 
      [ 5, 8, 11, 16, 22, 23 ], [ 10, 15, 17, 20, 21, 24 ], [ 7, 9, 12, 18, 21, 24 ], [ 6, 13, 14, 19, 22, 23 ], 
      [ 5, 15, 17, 18, 27, 29 ], [ 7, 8, 9, 10, 13, 17 ], [ 9, 13, 16, 19, 25, 28 ], [ 6, 8, 11, 20, 27, 29 ], 
      [ 7, 10, 12, 14, 25, 28 ], [ 8, 12, 14, 16, 17, 19 ], [ 8, 12, 13, 15, 18, 20 ], [ 5, 6, 11, 12, 13, 17 ] ],
  autGroup := Group( [ ( 2,15)( 4, 7)( 6, 8)( 9,25)(10,31)(12,22)(13,16)(17,23)(18,26)(20,29)(21,32)(24,30), 
      ( 3, 4)( 5, 6)( 9,10)(13,17)(14,18)(15,19)(16,20)(21,28)(22,27)(23,29)(24,25)(30,31), 
      ( 2,32)( 3, 5)( 4, 6)( 7, 8)( 9,13)(10,17)(15,21)(16,25)(19,28)(20,24)(23,31)(29,30), 
      ( 1, 2)( 5,10)( 6, 9)( 7,11)( 8,12)(14,16)(18,20)(21,29)(22,25)(23,28)(24,27)(26,32) ] ),
  forms := [ rec(
          forms := [ [ "[-4] + U(2) + [4]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 32 ] ],
      regular := 6,
      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 := [ 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 ] );

