# -*- GAP -*-

Psi27i :=
rec(
  adjacencies := [ [ 2, 3, 19, 20, 21 ], [ 1, 3, 22, 23, 24 ], [ 1, 2, 25, 26, 27 ], [ 5, 6, 19, 20, 21 ], 
      [ 4, 6, 22, 23, 24 ], [ 4, 5, 25, 26, 27 ], [ 8, 9, 19, 22, 25 ], [ 7, 9, 20, 23, 26 ], [ 7, 8, 21, 24, 27 ], 
      [ 11, 12, 19, 22, 25 ], [ 10, 12, 20, 23, 26 ], [ 10, 11, 21, 24, 27 ], [ 14, 15, 19, 24, 26 ], 
      [ 13, 15, 20, 22, 27 ], [ 13, 14, 21, 23, 25 ], [ 17, 18, 19, 24, 26 ], [ 16, 18, 20, 22, 27 ], 
      [ 16, 17, 21, 23, 25 ], [ 1, 4, 7, 10, 13, 16 ], [ 1, 4, 8, 11, 14, 17 ], [ 1, 4, 9, 12, 15, 18 ], 
      [ 2, 5, 7, 10, 14, 17 ], [ 2, 5, 8, 11, 15, 18 ], [ 2, 5, 9, 12, 13, 16 ], [ 3, 6, 7, 10, 15, 18 ], 
      [ 3, 6, 8, 11, 13, 16 ], [ 3, 6, 9, 12, 14, 17 ] ],
  autGroup := Group( [ (13,16)(14,17)(15,18), ( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18)(19,20,21)(22,23,24)(25,26,27), 
      ( 7,10)( 8,11)( 9,12), ( 7,13)( 8,15)( 9,14)(10,16)(11,18)(12,17)(20,21)(22,24)(25,26), 
      ( 2, 3)( 5, 6)( 8, 9)(11,12)(14,15)(17,18)(20,21)(22,25)(23,27)(24,26), ( 1, 2)( 4, 5)( 8, 9)(11,12)(13,14)
        (16,17)(19,22)(20,24)(21,23)(26,27), (1,4)(2,5)(3,6), ( 1, 7)( 2, 8)( 3, 9)( 4,10)( 5,11)( 6,12)(20,22)(21,25)
        (24,26) ] ),
  forms := [ rec(
          forms := [ fail ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 8 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 6, 9 ], [ 5, 18 ] ],
      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 := [ 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 ],
  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 ] );

