## O-6(4), or the point graph of GQ(4,16) graph on 325 vertices from PSU(4,4).4 with rank 3



Oneg64GQ416:=EdgeOrbitsGraph(Group(
[ (  1, 70,123,254, 36,166, 58,235, 18,189,149,152)(  2,243,214, 90)
    (  3, 17,172)(  4, 61,148, 85, 16,289,184,154, 20, 37, 81,105)
    (  5,306,293,132,230, 68,284, 62,  9,186,304,176)(  6,204, 64,271, 15,309)
    (  7,115,198,207,142,168,106, 48,197,188, 83,144)(  8, 40,128, 14,158,178)
    ( 10,325,183, 45,118, 79, 47, 23,107, 87,272, 25)( 11,225,195,318,222,159,
     73,150,313,212,296,161)( 12,233,135,237,316, 57)( 13, 80, 65,320,127,119,
     261, 28,121, 69, 33,282)( 19,104, 38,175, 71, 34,170,226,181,260, 53,182)
    ( 21,303,206,310,294,273,268,220,228,213,147,246)( 22, 94,155, 46,120,302,
     322, 91,274,173,116,216)( 24,249,305,137,202,281)( 26,215, 74, 95,151,
     240,223, 27,248,190,162,134)( 29,125, 86, 39,279, 82)( 30,256)
    ( 31,267,321)( 32,124, 76,290, 72,286,307,257,227, 43,299,244)
    ( 35, 84,130,295,194,218)( 41, 42)( 44, 54, 50,323,311,255,265,241,165,
     129,193,203)( 49,231,157,269, 98,270,139,208,126,196,164,308)
    ( 51,232,109, 75, 60,285,138,247, 59,229,111,177)( 52,169, 63,224, 88,117,
     217,136,192,210,239,211)( 55,300, 92,179,259,262)( 56,140,258,253,291,
     245,103,205,288,122,264,112)( 66,266,113,315,263,110,317,314,242,324,187,
     108)( 67,101, 93,312,219,131)( 77,199,275,143,201,191,234,114,221,180,
     278,160)( 78,163,185, 89,319,153)( 96,100,283)( 97,298,287,200)
    ( 99,277,238)(102,167,280,301,297,292)(133,209,252,250,171,276)
    (145,156,174,146), (  1,181,117,307,127,177,111,311,312,  7,323,207,240,
      47,198,119,266,  5, 40,132,184,258,100,271, 87,118,196,146,185,303,280,
     259,289,182, 82,291,149,130,  6,315,143, 73,265,252, 42,322, 27,222, 85,
     208,152)(  2,126,282, 66,316,136,281,324,320,219,106,147, 20, 24,105,123,
     226,193,101,298,166,121,251,313,269,268, 88,285,227, 21, 51,176, 34, 99,
      28,217, 68, 18,261,162, 59,297,283,169,158,250,233,278, 79,228, 74)
    (  3, 22, 11, 10,224, 76,156, 96,183,239,191,103, 69, 17,245,288,276,173,
      38,235,309,236,125,178, 50,202, 91,172,112,293,164, 41, 86, 46,142,135,
      80, 32,308,270, 33,160, 61,204,221, 12,301, 81,290,129,109)
    (  4,  9, 43,294, 37, 36, 14,201,134, 44, 57,165,133,264,231,170,317,179,
     171,190,210, 60,318,213, 39, 53, 55,195,260,151,188, 25,255,206,296,148,
      29,295,292, 77, 13, 23,286, 58, 83,141, 94,267,200, 19,314)
    (  8,107,138,110,256,186,284,163,232, 70, 78, 95,197,120,157,116,287,154,
     209,247,211, 52,108,137,275,300, 45,310, 64,194, 71, 35,220, 31, 16, 98,
     131,234,104,212,272,175,325,214, 97, 56,180,215,248,244, 65)
    ( 15,304,145,249,153,242,273,262,230, 54,187,174,128,216,139,155, 48,279,
      90, 62,102,167,150,205, 67, 26,168, 49, 75, 92,114,299,122,246, 30,254,
     229, 89,238,302,124, 84,243,253,159, 63,218,113,161,144,257)
    ( 72,306, 93,225,263,241,140,321,223,192,277,305,199,115,237,189,274) ]), [ [1,2] ]);