## Coset graph of shortened ternary Golay code, 243 vertices
## Antipodal 3-cover of Brouwer--Haemers graph (cf. BCN, page 364)
## Induced subgraph of 2nd Soicher graph (on the vertices of a bipartite half of the Koolen--Riebeek graph)
## Aut. group 3^5:(2 x M_10), distance-transitive

shortened:=EdgeOrbitsGraph( Group(
  [ (  1, 15, 31,124, 30, 43,  4, 82, 37, 21, 40,189)(  2,103,  8,138,216,121,175,208, 57,213, 51,204)(  3,117,130, 27,
     150,161,133, 80, 62,116,139, 54)(  5, 19,109,192, 41, 42,152,141, 33, 16,137,155)(  6,226,107,129, 20,231, 88,
      98, 45,149,198,100)(  7,144,239, 78,143,212, 81,233, 50,235,156, 67)(  9,126,185, 48,214, 72,206, 12, 60,135,
     238,172)( 10, 34,224,145, 71,154,122,147, 63, 46,110,167)( 11,159,183, 84,215, 86,174,229, 53,225,220, 92)
    ( 13, 93, 44,102, 29,199)( 14,104,136, 77, 39,201,108,221, 25, 94, 95,241)( 17,190,195, 89,170,181, 79,178, 55,
     180, 74,127)( 18,162,111,114,120,242, 52,232, 58,173, 36,160)( 22, 64,196, 26,165,158,211,217, 49, 99,106, 47)
    ( 23, 61, 59,140, 76, 35)( 24,218,237,240, 38,112,131,222, 32,177,203,171)( 28,176,151, 68, 87,234, 69,243, 56,
      97,128, 85)( 65,132,134,182,227,148)( 66,146,119,157,113,210,164, 96,207,184, 90,200)( 70,105,228,115,191,197,
     230,163,188,101,166,194)( 73,223,186)( 75,187,169,193,123,118,142,219, 83,179,153,205)( 91,125,168,236,202,209), 
  (  1, 29,235, 55,228, 93, 18,174,226,186,243,213)(  2,219,145,185, 97,120,  5,233,127,126,  3, 83,111,144, 95,234,
     225, 26,113,165, 67, 85,112, 36)(  4, 10, 87,132, 80, 15, 99,237, 98,146, 81, 59,110,115,187,221,188,116,173, 91,
     200,107, 12, 16)(  6,207,102, 86,155,208,193, 82,189,147, 13, 57, 38,215,135,101,105,150,223,178, 94, 79, 47, 45)
    (  7,180,209, 41,222, 37,206,152,114,229, 61,136,109,149, 75, 39,128, 51, 65,177, 14,166, 49,171)(  8,211,  9,140,
     17,151,138, 24,190,214,142,134,103,143, 11,201, 92,153,196,125,220,232,195,141)( 19, 35,158,212, 64,216, 63, 44,
     131,227,179, 68,118, 89,184, 73,241,236, 48, 58,172,159,161,199)( 20, 27,204, 71,238,139,240, 23,124,122, 53,210,
     123,119,137,202,197, 96, 74,117, 22, 34, 25,148)( 21,108,133, 78, 77, 60, 40, 32,194,218, 90,176, 42,169,100,104,
     198, 33, 46, 52,203,106, 70,192)( 28, 69, 43,170,182, 66,162,231,239, 50,163,121, 76,167, 56,230,242,160, 88,183,
     168, 62,156, 30)( 31,205,224,181,191,217, 54,175,129, 72,157, 84)(130,154,164) ]
	), [1,18] );