# -*- GAP -*-

Psi36i :=
rec(
  adjacencies := [ [ 4, 14, 15, 16, 25, 29, 32, 34 ], [ 3, 17, 18, 23, 28, 30, 31, 35 ], 
      [ 2, 13, 14, 23, 26, 27, 32, 34 ], [ 1, 16, 18, 19, 28, 30, 33, 36 ], [ 6, 15, 17, 20, 25, 29, 31, 35 ], 
      [ 5, 13, 19, 20, 26, 27, 33, 36 ], [ 8, 13, 19, 22, 29, 30, 31, 34 ], [ 7, 14, 18, 22, 25, 27, 33, 35 ], 
      [ 10, 15, 19, 21, 26, 28, 31, 34 ], [ 9, 17, 18, 21, 25, 27, 32, 36 ], [ 12, 13, 17, 24, 29, 30, 32, 36 ], 
      [ 11, 14, 15, 24, 26, 28, 33, 35 ], [ 3, 6, 7, 11, 15, 16, 18, 21 ], [ 1, 3, 8, 12, 17, 19, 20, 21 ], 
      [ 1, 5, 9, 12, 13, 18, 22, 23 ], [ 1, 4, 13, 17, 26, 27, 31, 35 ], [ 2, 5, 10, 11, 14, 16, 19, 22 ], 
      [ 2, 4, 8, 10, 13, 15, 20, 24 ], [ 4, 6, 7, 9, 14, 17, 23, 24 ], [ 5, 6, 14, 18, 28, 30, 32, 34 ], 
      [ 9, 10, 13, 14, 29, 30, 33, 35 ], [ 7, 8, 15, 17, 26, 28, 32, 36 ], [ 2, 3, 15, 19, 25, 29, 33, 36 ], 
      [ 11, 12, 18, 19, 25, 27, 31, 34 ], [ 1, 5, 8, 10, 23, 24, 26, 30 ], [ 3, 6, 9, 12, 16, 22, 25, 30 ], 
      [ 3, 6, 8, 10, 16, 24, 28, 29 ], [ 2, 4, 9, 12, 20, 22, 27, 29 ], [ 1, 5, 7, 11, 21, 23, 27, 28 ], 
      [ 2, 4, 7, 11, 20, 21, 25, 26 ], [ 2, 5, 7, 9, 16, 24, 32, 33 ], [ 1, 3, 10, 11, 20, 22, 31, 33 ], 
      [ 4, 6, 8, 12, 21, 23, 31, 32 ], [ 1, 3, 7, 9, 20, 24, 35, 36 ], [ 2, 5, 8, 12, 16, 21, 34, 36 ], 
      [ 4, 6, 10, 11, 22, 23, 34, 35 ] ],
  autGroup := Group( [ ( 7, 9,24)( 8,21,12)(10,11,22)(13,26,27)(15,25,29)(18,30,28), 
      ( 2, 6)( 3,20)( 4,16)( 5,23)( 7,10)( 8,21)( 9,22)(11,24)(13,18)(17,19)(25,29)(26,28)(27,30)(31,36)(32,34)(33,35)
        , ( 3,23)( 4,16)( 5,20)( 8,22)( 9,21)(11,24)(13,19)(14,15)(17,18)(25,32)(26,33)(27,36)(28,35)(29,34)(30,31), 
      ( 1, 2, 6)( 3, 5, 4)( 7,12,10)( 8,11, 9)(13,15,18)(14,17,19)(16,23,20)(21,22,24)(25,30,26)(27,29,28)(31,33,32)
        (34,35,36), ( 1, 3, 6, 4, 2, 5)( 7,24,10,22,12,21)( 8,11, 9)(13,19,18,17,15,14)(16,23,20)(25,32,26,33,30,31)
        (27,36,28,35,29,34), ( 1, 7, 2,12, 6,10)( 3,11, 5, 9, 4, 8)(13,17,15,19,18,14)(16,22,23,24,20,21)
        (25,34,30,35,26,36)(27,32,29,31,28,33), ( 1,13,22,19, 2,25,21,32, 6,28,24,35)( 3,26, 9,31, 5,29,11,36, 4,18,
          8,14)( 7,17,23,30,10,33,20,27,12,34,16,15) ] ),
  forms := [ rec(
          forms := [ [ "[-6, -3, -6] + [2, 1, 2]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 8, 36 ] ],
      regular := 8,
      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, 33, 34, 35, 36 ],
  order := 36,
  real := [ 6 ],
  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 ] );

