## Unitary graph from PGammaU(3,5) on 525 vertices

unitary525:=EdgeOrbitsGraph( Group(
  [ (  1,376,458,271,235,249)(  2,384,192,306,326,509)(  3,172,297,123,492,439)(  4, 27,236)
    (  5,414, 67,283,209,277)(  6,421,430,385,290, 32)(  7,425,278,489,111,496)(  8,276,438,491, 53,345)
    (  9,357,409,391,334, 54)( 10,402,364,110,293,128)( 11,106,161,151,418,517)( 12,133,443, 83, 92,470)
    ( 13,247,332,422, 95,482)( 14,511,389,100,473,311)( 15,112,507, 60,487,412)( 16, 47, 88,467,242,360)
    ( 17,107, 81,415,296, 28)( 18,114,132, 35,460,462)( 19,103,486,336,109,214)( 20, 58,181,504,232,379)
    ( 21,440,344,234,321,231)( 22,316,338)( 23,426,207,401,463,168)( 24,223, 80,122,308,257)
    ( 25,201,322,113,126, 66)( 26,130,420, 33, 37, 91)( 29,174,327,170,459,312)( 30,159,125,120,474,129)
    ( 31,227,156, 74,461,157)( 34,417,464)( 36,494,369,134, 79,348)( 38, 42,455,453,104,433)
    ( 39, 87,444,320,310, 76)( 40,392, 45,410,419,397)( 41,313,404,131, 57,299)( 43,450,116,163, 56,390)
    ( 44,490,287, 61,212,137)( 46,423, 78,325,514,520)( 48,184,465,138,203,294)( 49,239,399,298,169,361)
    ( 50,175,268,386,403,217)( 51,456, 65,149,405,319)( 52,524,164,229, 82,428)( 55,341,346,447,246,339)
    ( 59,190,266,258,335,307)( 62,502,365,197,377,429)( 63,387, 75, 77,381,442)( 64,407,398,352,304, 97)
    ( 68,178,253,265,305,238)( 69,259,303,472,193,165)( 70,188,475,324,243,437)( 71,140,446,162,367, 72)
    ( 73,148,135)( 84,510,115,285,216,393)( 85, 93,503,484,244,260)( 86,476,301,127,200,143)
    ( 89,400,263,145,167,354)( 90,230,495,353,488,121)( 94,211,432,481, 96,505)( 98,118,279,368,317,314)
    ( 99,337,501,362,102,189)(101,208,284,195,154,518)(105,441,262,516,220,222)(108,251,215,318,261,194)
    (117,396,183,366,340,204)(119,479,466,406,185,457)(124,274,323,485,331,270)(136,295,166,358,395,146)
    (139,448,196,142,349,388)(141,434,187,291,454,245)(144,512,363,180,152,435)(147,206,347,350,286,199)
    (150,383,342,210,499,173)(153,171,522,292,300,515)(155,380,449)(158,288,469,254,177,478)
    (160,370,372,356,213,328)(176,224,228,179,497,309)(182,275,378)(186,329,525,281,451,424)
    (191,513,355,408,351,205)(198,468,226,330,248,264)(202,500)(219,416,255,280,221,240)(225,411,256,371,
     250,272)(233,315,343)(237,521,267,523,273,477)(241,302,382,445,452,431)(252,471,508,483,269,359)
    (282,498,519)(289,375,333,493,394,506)(373,427,413,480,374,436), 
  (  1,412,410,399, 46,311,387,393,302,230,163,210,513,139,189, 14,111,453,341, 20,328)(  2,357,347,523,
     324, 26, 47,460,390, 43,413,509,363,380, 78,366, 91,349,329, 85,186)(  3,309,160, 99,400,376,187,424,
     80,  7, 30,153,228, 90,239,297,116,480,278,220,316)(  4,232, 36,194,291,260,253,200,298, 16, 27,144,
     396, 76,446,450,276,466,303,388, 98)(  5,127,510,224,204, 37,227,280,167, 40,223,472,184,370,203, 88,
     299,417, 62,145,222)(  6,173,436,375,371,423,514,128, 57, 58,431,175,373,251, 65,243,102,219,156,315,
     241)(  8, 56, 82, 34,172,235,272, 21,151,199,265, 93,213,221,458,129,443,192,287,136,307)
    (  9, 44, 18, 12,389,294,515, 53,262, 45,180,476,107,481,445,238,176, 92,126,448,378)( 10,229,257, 96,
     142,477,244,190,482,409,135,240,369,308,462,208,438,103, 13,158,326)( 11,130,504,233,211,285, 52,290,
     364,392, 49,517,183,181,463,331,492,336,415,182,263)( 15,218,119,433,161,467,475, 68,520,346,485,342,
     383,177,295,274,340,188,511,362,216)( 17,252,185,283,202,292,212,205,368,201,114,358,506,319, 25,197,
     493,386,461,519, 67)( 19,306,456,518,452,300, 97, 28,385,351,266, 73,250,353,421,470,365,395,296,157,
     483)( 22,489,237,495,435,110,137,108,105,507,159, 75,451,101,379,442, 81,333,310,397, 72)
    ( 23,118,215,434,405, 59,350,236,120,508,426,226,360,374,209,247,286,512,314,258,339)( 24,117,449,334,
     524, 89,140,164, 33,248,414,494,138,206,313,123,454,134, 41,407,132)( 29,419,268,486,179,503, 83,464,
     430,282,468, 60,191, 32,484,497,345,271, 31,154,279)( 35,168,131, 95,408,487,459,411,242,521,525,330,
     343,288,269,355,312,170,318,124,281)( 38,469,391,457,522,428,437,327,122,516, 42,254,404,478,394,109,
     356,256,505,425,113)( 39,403,231, 64,255,325,270,174,321,354,344,348, 61,264,502,416,267, 94,198,245,
     429)( 48,335,367,100, 55,166, 63,275,148,171,115,305,125, 69,382,471,104,152,402,214,439)
    ( 50, 79,112,106, 77,496,165,420,490,143,150,217, 71,323,361,338,473,398,418, 86,479)( 51,178,372,455,
     498,284,441,332,289,422,488,406, 70, 84,322,195,196,320,149,359,444)( 54,146,447,207,352,277,234,500,
     491,155,301,147,304,501,246,193,141,377, 66,273,465)( 74,381,259,261,133,401,121,440,427,249,317,293,
     169,162,225,432,337, 87,384,499,474) ] ), [[1,56]] );