## Complement of the Second subconstituent of McLaughlin graph on 162 vertices
## Aut. group PSU(4,3):2^2


complementof2submclaughlin:=EdgeOrbitsGraph( Group(
  [ (1,23,59,124,100,116)(2,39,161,104,20,76,125,25,49,31,91,103)(3,132,33,139,65,38,134,79,111,57,146,75)(4,151,137,24,
    109,113,115,131,58,83,40,87)(5,67,99,19,93,34,141,102,54,35,153,86)(6,28,17,135,82,77)(7,52,97,50,89,16,149,126,
    108,21,92,18)(8,98,48,155,105,22,27,32,133,158,159,66)(9,29,69,47,148,119,138,123,118,13,122,88)(10,12,53,129,107,
    128,147,121,154,61,143,44)(11,55,30,117,73,15,68,150,112,70,90,127)(14,157,42,120,160,56,62,36,37,162,152,110)(26,
    71,156,114,72,64)(41,136,46,74,78,84,60,80,140,144,45,85)(43,96,95,101,145,142,51,106,81,63,94,130),
  (1,41,17,123,70,19,132,44)(2,53,103,52,18,86,63,67)(3,149,90,135,16,7,76,66)(4,97,162,55,37,31,64,155)(5,13,34,122,
    127,126,12,46)(6,72,21,108,133,51,59,106)(8,80,134,15,71,148,125,69)(9,113,78,42,129,115,99,87)(10,159,121,147,
    131,75,154,74)(11,157,65,47,68,38,77,102)(14,73,58,94,83,101,24,114)(20,151,130,136,91,144,100,140)(22,146,116,
    124)(23,30,39,128,81,138,28,32)(25,139,95,43)(26,61,161,152,57,112,158,85)(27,142,145,82)(29,40,153,54,98,88,109,
    33)(35,93,111,107,92,119,45,84)(36,110,141,62,105,156,118,137)(48,117,50,79)(49,60,104,160,150,89,96,143) ] ), 
	[1,3] );