# -*- GAP -*-

Phi30iii :=
rec(
  adjacencies := [ [ 5, 16, 17, 18 ], [ 5, 19, 21, 23 ], [ 5, 22, 24, 25 ], [ 5, 20, 27, 28 ], 
      [ 1, 2, 3, 4, 26, 29, 30 ], [ 7, 16, 19, 22, 29 ], [ 6, 8, 17, 25, 30 ], [ 7, 9, 23, 26, 27 ], 
      [ 8, 21, 24, 28, 29 ], [ 11, 16, 20, 21, 30 ], [ 10, 12, 17, 27, 29 ], [ 11, 18, 22, 26, 28 ], 
      [ 14, 17, 21, 26 ], [ 13, 15, 18, 20, 23, 25, 29 ], [ 14, 22, 27, 30 ], [ 1, 6, 10, 23, 28 ], 
      [ 1, 7, 11, 13, 24 ], [ 1, 12, 14, 19 ], [ 2, 6, 18, 24, 27 ], [ 4, 10, 14, 24 ], [ 2, 9, 10, 13, 22 ], 
      [ 3, 6, 12, 15, 21 ], [ 2, 8, 14, 16 ], [ 3, 9, 17, 19, 20 ], [ 3, 7, 14, 28 ], [ 5, 8, 12, 13 ], 
      [ 4, 8, 11, 15, 19 ], [ 4, 9, 12, 16, 25 ], [ 5, 6, 9, 11, 14 ], [ 5, 7, 10, 15 ] ],
  autGroup := Group( [ ( 2,26)( 3, 4)( 6,11)( 7,10)( 8,21)(12,19)(13,23)(16,17)(20,25)(22,27)(24,28), 
      ( 1, 2,26)( 3, 4,30)( 6, 9,11)( 7,24,27)( 8,17,19)(10,22,28)(12,16,21)(13,18,23)(15,25,20), 
      ( 1, 3)( 2,30)( 4,26)( 7,19)( 8,27)( 9,11)(10,21)(12,28)(13,20)(15,23)(16,22)(17,24)(18,25), 
      ( 1,13, 2,18,26,23)( 3,15, 4,25,30,20)( 5,14)( 6,11, 9)( 7,10,24,22,27,28)( 8,16,17,21,19,12) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 10]" ] ],
          h := 10 ) ],
  group := Group( [ () ] ),
  h := [ 10 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 5,
      pencils := [ [ 7, 2 ], [ 5, 16 ], [ 4, 12 ] ],
      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 ],
  order := 30,
  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, 28, 29, 30 ],
  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 ] );

