# -*- GAP -*-

Psi36ii :=
rec(
  adjacencies := [ [ 16, 19, 22 ], [ 16, 19, 22 ], [ 5, 8, 12, 14, 15, 20, 22 ], [ 6, 7, 9, 13, 15, 20, 22 ], 
      [ 3, 6, 10, 14, 16, 17, 24 ], [ 4, 5, 11, 25, 29, 31, 35 ], [ 4, 8, 13, 16, 17, 23, 24 ], 
      [ 3, 7, 11, 26, 29, 33, 35 ], [ 4, 11, 14, 27, 30, 31, 34 ], [ 5, 11, 13, 25, 28, 32, 36 ], 
      [ 6, 8, 9, 10, 12, 16, 19, 22, 23 ], [ 3, 11, 13, 26, 30, 32, 34 ], [ 4, 7, 10, 12, 18, 19, 21 ], 
      [ 3, 5, 9, 18, 19, 21, 23 ], [ 3, 4, 16, 21, 27, 29, 32, 36 ], [ 1, 2, 5, 7, 11, 15, 21, 25, 30, 33, 34 ], 
      [ 5, 7, 18, 22, 27, 29, 32, 34 ], [ 13, 14, 17, 22, 25, 30, 33, 35 ], 
      [ 1, 2, 11, 13, 14, 20, 24, 27, 29, 32, 35 ], [ 3, 4, 19, 24, 25, 30, 33, 36 ], 
      [ 13, 14, 15, 16, 26, 28, 31, 35 ], [ 1, 2, 3, 4, 11, 17, 18, 26, 28, 31, 36 ], [ 7, 11, 14, 27, 28, 33, 36 ], 
      [ 5, 7, 19, 20, 26, 28, 31, 34 ], [ 6, 10, 16, 18, 20, 26, 27 ], [ 8, 12, 21, 22, 24, 25, 27 ], 
      [ 9, 15, 17, 19, 23, 25, 26 ], [ 10, 21, 22, 23, 24, 29, 30 ], [ 6, 8, 15, 17, 19, 28, 30 ], 
      [ 9, 12, 16, 18, 20, 28, 29 ], [ 6, 9, 21, 22, 24, 32, 33 ], [ 10, 12, 15, 17, 19, 31, 33 ], 
      [ 8, 16, 18, 20, 23, 31, 32 ], [ 9, 12, 16, 17, 24, 35, 36 ], [ 6, 8, 18, 19, 21, 34, 36 ], 
      [ 10, 15, 20, 22, 23, 34, 35 ] ],
  autGroup := Group( [ ( 3,26)( 4,31)( 5,25)( 7,33)(13,32)(14,27)(15,21)(17,18)(20,24)(28,36)(29,35)(30,34), 
      ( 3,30,13,26,34,32)( 4,25,35,31, 5,29)( 7,27,36,33,14,28)( 8, 9,10)(15,20,18,21,24,17)(16,19,22), 
      ( 3, 7)( 4, 5)( 9,10)(12,23)(13,14)(15,17)(16,22)(18,21)(20,24)(25,31)(26,33)(27,32)(28,30)(34,36), 
      ( 3, 4)( 5, 7)( 6, 8)( 9,12)(10,23)(13,14)(25,33)(26,31)(27,32), (1,2) ] ),
  forms := [ rec(
          forms := [ [ "[-36] + [2, 1, 2]", "[-4] + [6, 3, 6]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 11, 3 ], [ 9, 1 ], [ 8, 6 ], [ 7, 24 ], [ 3, 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, 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 ] );

