# -*- GAP -*-

Theta34i :=
rec(
  adjacencies := [ [ 3, 4, 5, 6, 7, 8, 9 ], [ 3, 4, 10, 11, 12, 13 ], [ 1, 2, 14, 15, 16, 17 ], 
      [ 1, 2, 18, 19, 20, 21 ], [ 1, 10, 15, 22, 29, 34 ], [ 1, 11, 19, 25, 30, 34 ], [ 1, 12, 23, 27 ], 
      [ 1, 16, 20, 24, 28, 31 ], [ 1, 22, 28, 30, 32, 33 ], [ 2, 5, 21, 24, 27, 28 ], [ 2, 6, 17, 23, 28, 31 ], 
      [ 2, 7, 24, 31, 32, 33, 34 ], [ 2, 16, 20, 22, 26, 30, 34 ], [ 3, 25, 27, 28, 33, 34 ], 
      [ 3, 5, 21, 25, 26, 31, 32 ], [ 3, 8, 13, 23, 29, 33 ], [ 3, 11, 19, 22, 27, 32 ], [ 4, 23, 28, 29, 32, 34 ], 
      [ 4, 6, 17, 24, 26, 29, 33 ], [ 4, 8, 13, 25, 27, 32 ], [ 4, 10, 15, 23, 30, 33 ], [ 5, 9, 13, 17, 23, 24 ], 
      [ 7, 11, 16, 18, 21, 22, 25 ], [ 8, 10, 12, 19, 22, 25 ], [ 6, 14, 15, 20, 23, 24 ], [ 13, 15, 19, 28 ], 
      [ 7, 10, 14, 17, 20, 29, 30 ], [ 8, 9, 10, 11, 14, 18, 26 ], [ 5, 16, 18, 19, 27, 31 ], 
      [ 6, 9, 13, 21, 27, 31 ], [ 8, 11, 12, 15, 29, 30 ], [ 9, 12, 15, 17, 18, 20 ], [ 9, 12, 14, 16, 19, 21 ], 
      [ 5, 6, 12, 13, 14, 18 ] ],
  autGroup := Group( [ ( 3, 4)( 5, 6)(10,11)(14,18)(15,19)(16,20)(17,21)(22,30)(23,27)(24,31)(25,29)(32,33), 
      ( 1,27,12)( 2, 3,14,34, 5,10)( 4,17,33, 6,29,24)( 8,20,32, 9,30,31)(11,16,25,18,22,21)(13,15,28), 
      ( 1,28)( 3,10)( 4,11)( 5,14)( 6,18)( 7,26)(12,13)(15,27)(16,24)(17,21)(19,23)(20,31)(22,33)(25,29)(30,32) ] ),
  forms := [ rec(
          forms := [ [ "[-4] + [4, 2, 4]", "U(2) + [12]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 7, 8 ], [ 6, 24 ], [ 4, 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, 33, 34 ],
  order := 34,
  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, 33, 34 ],
  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, -34 ] );

