## U_5(2), or the point graph of GQ(4,8) graph on 165 vertices from PGammaU(5,2) with rank 3


U52pointGQ48:=EdgeOrbitsGraph(Group(
[ (  1, 48,130,  5,158, 88, 64, 69, 62,  8,154, 54,149, 91, 27,143)
    (  2, 34, 96, 76, 56, 43,126,135, 61, 29,131, 94, 83,160, 52,121)
    (  3, 74,136,148,144,127,114, 19, 92,113,120,119, 55, 30, 40,104)
    (  4, 32, 97, 77,102,164,112, 89)(  6,101,152, 75, 90, 31, 15,128)
    (  7, 42, 98, 78,103,118, 60,140, 72,157, 36, 18, 14,139, 38, 25)
    (  9,129,155, 86,163,117, 53, 20, 93,100, 82, 21, 63,106, 99, 85)
    ( 10,125, 41,109, 67,153,105, 33, 26,132, 51,141,146,122, 12,123)
    ( 11,142, 28, 45, 17, 66, 24,108)( 13,134, 87,137, 50,138, 35, 23, 84,150,
     47,133, 65, 49, 59, 22)( 16, 57,159,151,162,145, 46, 44, 81, 70, 79, 58,
      73,111,156,110)( 37, 68,116, 80,124,107,165, 39)( 71,147, 95,161), 
  (  1,130,113, 87,106,  7,129, 83,114, 22, 99, 67,134,137,162)
    (  2, 50,160, 69, 65,149, 64,135, 60, 27, 29,120, 86,105,136)
    (  3, 46,140,142, 36)(  4, 25, 63,131,111)(  5,164, 17, 54, 41)
    (  6,110, 57,116,139)(  8,107, 89, 31,148)(  9,117, 85,122,123, 58, 23,
      30, 78, 13,104, 73, 82, 42, 81)( 10, 91,150, 95,154, 59, 79, 74,112,100,
     141, 52, 56,152,146)( 11,159,138,103, 26,101,126, 14, 94, 35, 77, 88, 76,
     49,109)( 12, 53, 24, 40, 21,143, 62, 71,133, 43, 38, 72, 15, 47,121)
    ( 16, 90,153,161,147, 33, 66, 18, 28, 80, 84,108,157, 97, 39)
    ( 19,158, 20, 75, 32, 93, 34,127, 68, 37,151, 61,155,165,102)
    ( 44,115, 70,125,144)( 45,132,145, 98, 55)( 48,118,119, 96, 92)
    ( 51,124,163,156,128) ]), [ [1,2] ]);