# -*- GAP -*-

Phi36ii :=
rec(
  adjacencies := [ [ 5, 20, 21, 23, 27 ], [ 5, 25, 28, 31, 35 ], [ 5, 24, 29, 32, 34 ], [ 5, 22, 26, 30, 33 ], 
      [ 1, 2, 3, 4, 36 ], [ 7, 11, 20, 32, 35 ], [ 6, 8, 24, 27, 28 ], [ 7, 9, 21, 33, 36 ], [ 8, 10, 25, 26, 29 ], 
      [ 9, 11, 30, 31, 34 ], [ 6, 10, 22, 23, 36 ], [ 13, 17, 20, 25, 33 ], [ 12, 14, 34, 35, 36 ], 
      [ 13, 15, 21, 24, 30 ], [ 14, 16, 23, 26, 32 ], [ 15, 17, 28, 29, 36 ], [ 12, 16, 22, 27, 31 ], 
      [ 19, 21, 22, 29, 35 ], [ 18, 23, 28, 33, 34 ], [ 1, 6, 12, 29, 30 ], [ 1, 8, 14, 18, 31 ], 
      [ 4, 11, 17, 18, 24 ], [ 1, 11, 15, 19, 25 ], [ 3, 7, 14, 22, 25 ], [ 2, 9, 12, 23, 24 ], [ 4, 9, 15, 27, 35 ], 
      [ 1, 7, 17, 26, 34 ], [ 2, 7, 16, 19, 30 ], [ 3, 9, 16, 18, 20 ], [ 4, 10, 14, 20, 28 ], [ 2, 10, 17, 21, 32 ], 
      [ 3, 6, 15, 31, 33 ], [ 4, 8, 12, 19, 32 ], [ 3, 10, 13, 19, 27 ], [ 2, 6, 13, 18, 26 ], [ 5, 8, 11, 13, 16 ] ],
  autGroup := Group( [ ( 2,36)( 3, 4)( 6,12)( 7,17)( 8,31)( 9,10)(11,25)(13,35)(14,18)(15,19)(16,28)(22,24)(26,34)
        (29,30)(32,33), ( 2, 3,36, 4)( 6,14,17,19)( 7,15,12,18)( 8,26,25,29)(11,30,31,34)(13,22,28,32)(16,33,35,24)
        (20,21,27,23), ( 2, 6)( 3,30)( 4,29)( 5,20)( 7,31)( 8,17)( 9,22)(10,24)(11,25)(12,36)(14,34)(15,19)(16,33)
        (18,26)(21,27)(28,32), ( 1, 2,36, 4)( 6, 9,14,19)( 7,10,15,18)( 8,30,23,35)(11,26,21,28)(13,33,20,25)
        (16,22,27,31)(24,34,32,29) ] ),
  forms := [ rec(
          forms := [ [ "[2, 1, 8]" ] ],
          h := 12 ) ],
  group := Group( [ () ] ),
  h := [ 12 ],
  info := rec(
      bipartite := false,
      distance_regular := true,
      girth := 5,
      pencils := [ [ 5, 36 ] ],
      regular := 5,
      transitive := 2 ),
  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, 35, 36 ],
  order := 36,
  real := [ 12 ],
  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, 35, 36 ],
  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, -35, -36 ] );

