## Sp_6(3) graph ## One of two rank-3 SRG(364,120,38,40)s the other being the O_7(3) graph ## Aut. group PS_p(6,3):2 sp63:=EdgeOrbitsGraph(Group( [ ( 1,281,320,129)( 2,197,101,218)( 3,309, 84,199)( 4,140, 26,215) ( 5,200,249,318)( 6,145,182, 90)( 7,111, 54, 48)( 8,183,165,181) ( 9,185,209,105)( 10,118,317, 33)( 11, 92, 12, 22)( 13, 94, 73,238) ( 14,310,266,153)( 15,349, 31, 49)( 16,335,257, 41)( 17, 38,134,344) ( 18,103,228, 37)( 19,348, 82,137)( 20,156,311,294)( 21,147, 99,282) ( 23,250, 74,117)( 24,127,204,192)( 25,324,216,254)( 27,359,269,173) ( 28,166,235, 34)( 29, 89,322,353)( 30,279,132,104)( 32,295, 69, 52) ( 35,334,225,126)( 36,246, 57, 86)( 39, 43, 79,272)( 40, 77,283,331) ( 42,243,263,109)( 44,292, 67,319)( 45,150,210,176)( 46,222,211, 71) ( 47,207,180,160)( 50,260,261,112)( 51,122,232,152)( 53,340, 63,244) ( 55,195,341,355)( 56,155, 72,271)( 58, 61,342,239)( 59, 96, 85,286) ( 60,236,158,253)( 62,201,233,364)( 64,345,159,303)( 65,247,343,357) ( 66,291,289,217)( 68,154,315,255)( 70,157,213,277)( 75,328,285,313) ( 76,242,262,268)( 78,248,171,306)( 80,299,280,339)( 81,106,107,275) ( 83,297,149,119)( 87, 91,276,143)( 88,314,170,125)( 93,237,337,168) ( 95,136,214,133)( 97,161,138,115)( 98,356,113,190)(100,230,146,273) (102,327,172,350)(108,203,221,223)(110,189,163,120)(114,219,224,325) (116,326,196,231)(121,336,124,194)(123,131,139,287)(128,164,240,167) (130,363,169,288)(135,264,141,316)(142,354,278,346)(144,329,308,332) (148,179,321,206)(151,351,258,265)(162,352,184,360)(174,208,298,361) (175,256,251,226)(177,302,267,312)(178,301,187,284)(186,191,220,259) (188,245,358,323)(193,274,347,333)(198,305,300,293)(202,212,290,307) (205,330,241,296)(227,252,270,229)(234,362,338,304), ( 1, 4)( 2, 8)( 3, 9)( 5, 18)( 6, 16)( 10, 32)( 11, 36)( 12, 40) ( 14, 31)( 15, 49)( 19, 61)( 20, 64)( 21, 52)( 22, 70)( 23, 73)( 24, 77) ( 25, 56)( 26, 57)( 27, 85)( 28, 33)( 29, 78)( 34,103)( 35,104)( 37,110) ( 38, 88)( 39,102)( 41,117)( 42,119)( 43, 92)( 44,124)( 45,125)( 46,130) ( 47, 96)( 50,123)( 51, 59)( 53,126)( 54, 71)( 55,148)( 58,155)( 60, 65) ( 62,113)( 63, 72)( 66,164)( 67, 87)( 68,157)( 69,163)( 74,175)( 75,147) ( 76,139)( 79,173)( 81, 99)( 82,188)( 83,192)( 86,181)( 89,109)( 90,208) ( 91,116)( 93,107)( 94,213)( 95,217)( 98,223)(100,141)(101,108)(105,228) (106,187)(112,156)(114,233)(115,240)(118,206)(120,244)(121,246)(122,249) (127,204)(129,172)(131,142)(132,258)(133,219)(134,264)(135,268)(137,201) (138,273)(140,205)(143,158)(144,282)(145,284)(146,220)(149,287)(151,253) (152,186)(153,290)(159,272)(160,166)(161,257)(162,280)(167,279)(168,274) (169,300)(170,250)(171,238)(174,309)(176,285)(177,200)(178,269)(179,312) (180,313)(183,211)(185,242)(190,292)(191,317)(193,229)(194,245)(195,295) (198,276)(199,225)(202,278)(203,224)(207,226)(209,230)(210,304)(212,332) (214,252)(216,334)(218,255)(221,265)(227,234)(232,261)(235,302)(236,330) (237,316)(241,294)(243,283)(247,336)(248,307)(251,345)(256,259)(262,275) (263,349)(266,301)(267,321)(270,339)(271,329)(277,298)(286,355)(289,315) (291,344)(293,320)(297,361)(299,306)(305,353)(310,331)(311,322)(314,354) (323,326)(325,340)(327,358)(328,337)(335,347)(338,342)(352,364)(360,363) ]), [ [1,2] ]);