# -*- GAP -*-

Psi27ii :=
rec(
  adjacencies := [ [ 2, 3, 21, 22, 23 ], [ 1, 3, 24, 25 ], [ 1, 2, 26, 27 ], [ 5, 6, 21, 22, 23 ], [ 4, 6, 24, 26 ], 
      [ 4, 5, 25, 27 ], [ 8, 9, 21, 24 ], [ 7, 9, 22, 25, 26 ], [ 7, 8, 23, 27 ], [ 11, 12, 21, 25 ], 
      [ 10, 12, 22, 24, 27 ], [ 10, 11, 23, 26 ], [ 14, 15, 21, 26 ], [ 13, 15, 22, 24, 27 ], [ 13, 14, 23, 25 ], 
      [ 17, 18, 21, 27 ], [ 16, 18, 22, 25, 26 ], [ 16, 17, 23, 24 ], [ 22 ], [ 22 ], [ 1, 4, 7, 10, 13, 16 ], 
      [ 1, 4, 8, 11, 14, 17, 19, 20 ], [ 1, 4, 9, 12, 15, 18 ], [ 2, 5, 7, 11, 14, 18 ], [ 2, 6, 8, 10, 15, 17 ], 
      [ 3, 5, 8, 12, 13, 17 ], [ 3, 6, 9, 11, 14, 16 ] ],
  autGroup := Group( [ ( 5, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18)(24,25)(26,27), 
      ( 5, 6)( 7,15)( 8,14)( 9,13)(10,18)(11,17)(12,16)(21,23)(24,25)(26,27), ( 2, 3)( 5, 6)( 7, 9)(10,12)(13,15)
        (16,18)(21,23)(24,27)(25,26), ( 1, 4)( 2, 5)( 3, 6)(10,13)(11,14)(12,15)(25,26), 
      ( 1, 8)( 2, 7)( 3, 9)( 4,17)( 5,18)( 6,16)(13,15)(21,25)(23,26), (19,20) ] ),
  forms := [ rec(
          forms := [ [ "U(3) + [12]" ] ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 8, 1 ], [ 6, 6 ], [ 5, 6 ], [ 4, 12 ], [ 1, 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 ],
  order := 27,
  real := [  ],
  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 ],
  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 ] );

