# -*- GAP -*-

Phi28 :=
rec(
  adjacencies := [ [ 18, 22, 25, 27, 28 ], [ 10, 15, 21, 23, 24, 26, 27 ], [ 5, 19, 21 ], [ 19, 20, 24, 25 ], 
      [ 3, 13, 14, 16, 20, 22, 26 ], [ 8, 14, 15, 17, 25 ], [ 15, 16, 19, 28 ], [ 6, 12, 16, 18, 24 ], 
      [ 14, 18, 21 ], [ 2, 13, 17, 28 ], [ 12, 13, 19, 27 ], [ 8, 11, 20, 21, 28 ], [ 5, 10, 11, 25 ], 
      [ 5, 6, 9, 23, 28 ], [ 2, 6, 7, 20 ], [ 5, 7, 8, 27 ], [ 6, 10, 19, 22 ], [ 1, 8, 9, 19, 26 ], 
      [ 3, 4, 7, 11, 17, 18, 23 ], [ 4, 5, 12, 15 ], [ 2, 3, 9, 12, 25 ], [ 1, 5, 17, 24 ], [ 2, 14, 19 ], 
      [ 2, 4, 8, 22 ], [ 1, 4, 6, 13, 21 ], [ 2, 5, 18 ], [ 1, 2, 11, 16 ], [ 1, 7, 10, 12, 14 ] ],
  autGroup := Group( [ ( 1, 8)( 4,11)( 6,28)( 7,17)(10,15)(12,25)(13,20)(16,22)(24,27), 
      ( 1, 6)( 4,13)( 5,19)( 7,16)( 8,28)(10,24)(11,20)(14,18)(15,27)(17,22)(23,26), 
      ( 2, 5)( 3,23)( 4, 7)( 6,12)(10,13)(11,17)(14,21)(15,20)(16,24)(22,27)(25,28) ] ),
  forms := [ rec(
          forms := [ [ "[2, 0, 16]" ] ],
          h := 10 ) ],
  group := Group( [ () ] ),
  h := [ 10 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 5,
      pencils := [ [ 7, 3 ], [ 5, 9 ], [ 4, 12 ], [ 3, 4 ] ],
      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 ],
  order := 28,
  real := [ 10 ],
  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 ],
  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 ] );

