## Point graph of the Generalized quadrangle of order (9,3), GQ(9,3), from PSU(4,3).D_8 with rank 3


pointGQ93:=EdgeOrbitsGraph(Group(
[ (  1,120,117,172, 10,240)(  2,228,245,105,269, 24)(  3,134, 96,251,181,199)
    (  4, 27, 48,198,243,230)(  5,246, 59,276,222, 98)(  6, 79, 60,160,163,123
     )(  7, 38,115,153, 83,151)(  8, 39, 73, 54,116, 30)(  9, 53, 43, 18,179,
     122)( 11,275,270,188,229, 23)( 12, 25, 36)( 13,216,254, 20,274,206)
    ( 14, 70, 92,137,195, 61)( 15, 37,247, 91, 33,190)( 16, 99,201)
    ( 17,164, 75,225,108,159)( 19,231, 49,209, 89,212)( 21,113, 58,131,271,278
     )( 22,249,182,133, 56,103)( 26,100,258, 74, 31,232)( 28,196,204, 62, 76,
     168)( 29,170,111)( 32,241,253,147,235,138)( 34,208,244,162,132,109)
    ( 35,149,226,101,233,224)( 40,272,148, 88,266,144)( 41,145,236,194,102,263
     )( 42,176, 63,177, 55, 47)( 44,205, 46, 95,197, 84)( 45,227, 97)
    ( 50,277,239, 65,158,215)( 51,192,262,189,114, 90)( 52,135,140, 69,157,200
     )( 57,165,210,248,203,279)( 64,178,237,217,184,155)( 66,166, 80,193,255,
     261)( 67,264, 81)( 68,207,126,280,152,268)( 71,219,106,110,252,150)
    ( 72,186,183,146,221,136)( 77,167,125,214,118,273)( 78,130,127,112,180,257
     )( 82,128,142,259, 93,171)( 85,119,139,234,173,175)( 86,143,223,191,104,
     156)( 87,213,256, 94,124,238)(107,265,267,242,218,211)(121,141,250,202,
     174,169)(129,161,185,154,220,260), 
  (  1,243,229,183, 60, 19,215,147,153, 69,216, 18,145,152,275,263,154,184,
      21,180,128,170, 42, 10, 13,143,251,  6)(  2, 29, 32,230, 41,179, 57, 65,
     247,197,124,156,280,181,201, 31,120,210,130,235,123,182,226,266, 84, 11,
      87,246)(  3,205,240,174, 56, 93,264, 39, 97, 52,258,228, 79,207,148,125,
     272,242, 70, 35,101,108,149, 99,113, 94,173,104)(  4, 55,252,204,119,186,
     206,158,234,224,220,239, 64,136,129,  7, 47, 49,134, 12,221, 45,102, 50,
     236, 67,274,244)(  5, 95,144,188, 17,271,250,175,209,166,261,150,185,105,
     200, 75,126, 85,268,214,219,196,238,176,106,265, 62,231)(  8,160, 91,270,
     277,138,161, 22,131, 96,114,273,121,256, 24,222,249, 40, 61, 26,122,171,
     111,191,141,172,267,164)(  9,232, 54, 25, 86,151,117, 16, 82, 88,187,139,
     157,233,163,127, 77,132, 30, 90,198,248, 33, 58,208,135,269, 92)
    ( 14,155,223,189,110,254, 83, 76, 72,212,100,118,178,279, 15, 36,225, 63,
     218,237,192, 74, 20,116, 89,159, 34,245)( 23,262, 44, 37,253, 80, 59, 48,
     53,168,260,199,167,255,203,202, 98,133, 68,177, 27,257,276,194, 46,112,
      43, 71)( 28,140,278,146,137,142,115)( 38,193, 78, 51,213,211,103)
    ( 66,109,107,165,195, 73,162)( 81,259,241,227,169,217,190) ]), [ [1,10] ]);