## O_7(3) graph ## One of two rank-3 SRG(364,120,38,40)s the other being the Sp_6(3) graph ## Aut. group PSO(7,3) o73:=EdgeOrbitsGraph(Group( [ ( 3, 7, 8)( 9, 13, 17, 10, 14, 18)( 11, 15, 19)( 12, 16, 20) ( 21, 61, 89, 26, 65, 92)( 22, 62, 90, 25, 64, 91)( 23, 63, 28, 27, 66, 24 )( 29, 33, 70)( 30, 67, 34)( 31, 68, 93, 32, 69, 94)( 35, 71, 95, 36, 72, 96)( 37, 42, 74, 38, 41, 73)( 39, 44, 76)( 40, 43, 75)( 45, 77, 97, 50, 81,100)( 46, 78, 98, 49, 80, 99)( 47, 48, 79, 51, 52, 82)( 53, 83, 57) ( 54, 58, 86)( 55, 84,101, 56, 85,102)( 59, 87,103, 60, 88,104) (105,108,194,130,128,201)(106,193,127,129,202,109)(107,110) (111,114,196,132,133,203)(112,113,195,131,134,204)(115,116) (117,197,229,118,198,230)(119,199,136,138,206,122)(120,123,200,137,135,205 )(121,124)(125,126)(139,207,156,140,208,155)(141,157,213,142,158,214) (143,209,161,145,210,159)(144,160,215,146,162,216)(147,211,231) (148,212,232)(149,150)(153,154)(163,177,219,166,176,218)(164,178,220,165, 175,217)(167,182,224,168,181,223)(169,180,222,170,179,221)(171,172) (183,225,190,192,228,185)(184,186,226,191,189,227)(187,188) (233,285,313,239,289,317)(234,286,314,240,290,318)(235,287,315,259,299,327 )(236,288,316,260,300,328)(237,241)(238,242)(243,291,319,245,293,321) (244,292,320,246,294,322)(247,295,323,249,297,325)(248,296,324,250,298,326 )(251,254)(252,253)(255,257)(256,258)(261,301,329,262,302,330) (263,303,331,264,304,332)(265,305,333,268,308,336)(266,306,334,267,307,335 )(269,270)(271,272)(273,309,337,275,311,339)(274,310,338,276,312,340) (277,278)(279,280)(281,284)(282,283)(341,342,357,352,351,362) (343,344,358,350,349,361)(345,348,360,355,354,364)(346,347,359,356,353,363 ), ( 1, 2, 3, 4, 5, 6)( 7, 9, 11, 8, 10, 12)( 13, 21, 29, 37, 45, 53)( 14, 22, 30, 38, 46, 54)( 15, 23, 31, 39, 47, 55) ( 16, 24, 32, 40, 48, 56)( 17, 25, 33, 41, 49, 57)( 18, 26, 34, 42, 50, 58 )( 19, 27, 35, 43, 51, 59)( 20, 28, 36, 44, 52, 60)( 61,105,139,163,183, 102)( 62,106,140,164,184,101)( 63,107, 86,126,154,174)( 64,108,141,165, 185, 85)( 65,109,142,166,186, 84)( 66,110, 83,125,153,173) ( 67, 82,124,152,172,188)( 68,111,143,167, 80,122)( 69,112,144,168, 81,123 )( 70, 79,121,151,171,187)( 71,113,145,169, 98,136)( 72,114,146,170, 97, 135)( 73,115,147, 74,116,148)( 75,117,149, 76,118,150)( 77,119, 93,131, 159,179)( 78,120, 94,132,160,180)( 87, 89,127,155,175,189) ( 88, 90,128,156,176,190)( 91,129,157,177,191,103)( 92,130,158,178,192,104 )( 95,133,161,181,100,138)( 96,134,162,182, 99,137)(193,215,225,255,277, 281)(194,210,228,258,280,284)(195,233,261,218,248,270)(196,234,262,217, 247,269)(197,235,211)(198,236,232)(199,237)(200,238,206,242,205,241) (201,216,226,256,278,282)(202,209,227,257,279,283)(203,239,263,220,250,272 )(204,240,264,219,249,271)(207,243,265,222,252,274)(208,244,266,221,251, 273)(212,229,259)(213,245,267,223,253,275)(214,246,268,224,254,276) (230,260,231)(285,341,336,295,300,339)(286,342,307,296,315,312) (287,311,314,350,308,324)(288,338,318,352,334,326)(289,343,306,297,299,310 )(290,344,333,298,316,337)(291,302,346,319,331,355)(292,332,356,320,301, 345)(293,304,348,321,329,353)(294,330,354,322,303,347)(305,325,327,309, 317,351)(313,349,335,323,328,340)(357,362,361)(359,364,360) ]), [ [1,2] ]);