/* www-ATLAS of Group Representations. J2 represented as 64 x 64 matrices over GF(4). */ F:=GF(4); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000300", "1000000000000000000000000000000000000000000000000000000000000010", "0000100000000000000000010000000000000000000000000000001000010010", "0000010000000000000100000000000000000000000000000000001000020220", "0010000000000000000100000000000000000000000000000000001000030100", "0001000000000000000000010000000000000000000000000000000000030230", "0000000010000000000100000000000000000000000000000000003000020320", "0000000001000000000000000000000000000000000000000000000000030300", "0000001000000000000000010000000000000000000000000000003000000310", "0000000100000000000000000000000000000000000000000000003000010230", "0000000000000100000000000000000000000000000000000000002000030020", "0000000000000010000000000000000000000000000000000000000000010320", "0000000000000000100000000000000000000000000000000000002000000110", "0000000000100000000000000000000000000000000000000000000000020220", "0000000000010000000000000000000000000000000000000000001000020220", "0000000000000000000110000000000000000000000000000000003000000000", "0000000000001000000000000000000000000000000000000000003000030220", "0000000000000000000001000000000000000000000000000000003000030110", "0000000000000000000000100000000000000000000000000000002000030300", "0000000000000000000000010000000000000000000000000000000000020110", "0000000000000001000000010000000000000000000000000000001000030310", "0000000000000000010000000000000000000000000000000000002000000300", "0000000000000000001000000000000000000000000000000000000000020330", "0000000000000000000100000000000000000000000000000000002000030230", "0000000000000000000000000000100000000000000000000000003000030130", "0000000000000000000000000000010000000000000000000000002000020300", "0000000000000000000000000000001000000000000000000000002000000010", "0000000000000000000000000000000010000000000000000000000000000330", "0000000000000000000000001000000000000000000000000000002000000200", "0000000000000000000000000100000000000000000000000000001000000000", "0000000000000000000000000010000000000000000000000000003000030200", "0000000000000000000000000000000000000100000000000000001000000200", "0000000000000000000000000001000000000000000000000000000000000210", "0000000000000000000000000000000000000001000000000000003000020030", "0000000000000000000000000000000000000000100000000000002000030100", "0000000000000000000000000000000000000000001000000000001000000200", "0000000000000000000000000000000000000000000010000000001000010200", "0000000000000000000000000000000100000000000000000000002000020330", "0000000000000000000000000000000000000000000000010000001000000320", "0000000000000000000000000000000001000000000000000000003000020110", "0000000000000000000000000000000000100000000000000000000000020300", "0000000000000000000000000000000000000000000000000001003000010310", "0000000000000000000000000000000000010000000000000000002000020330", "0000000000000000000000000000000000000000000000000000010000010030", "0000000000000000000000000000000000001000000000000000003000000000", "0000000000000000000000000000000000000000000000000000002100030010", "0000000000000000000000000000000000000000000000000000000010000110", "0000000000000000000000000000000000000010000000000000002000020210", "0000000000000000000000000000000000000000000000000000001001020010", "0000000000000000000000000000000000000000000000000000001000130330", "0000000000000000000000000000000000000000000000000000000000011300", "0000000000000000000000000000000000000000010000000000000000030220", "0000000000000000000000000000000000000000000000000000000000030021", "0000000000000000000000000000000000000000000100000000001000020130", "0000000000000000000000000000000000000000000000000000002000020300", "0000000000000000000000000000000000000000000001000000000000020020", "0000000000000000000000000000000000000000000000100000000000000320", "0000000000000000000000000000000000000000000000001000000000010110", "0000000000000000000000000000000000000000000000000100001000030330", "0000000000000000000000000000000000000000000000000000001000020330", "0000000000000000000000000000000000000000000000000010001000020320", "0000000000000000000000000000000000000000000000000000000000000020", "0000000000000000000000000000000000000000000000000000000000000300", "0000000000000000000000000000000000000000000000000000103000010320"]); y:=CambridgeMatrix(1,F,64,[ "1110100000000000000010000000000000000000003030000000000101303000", "1001000000000000000010000000000000000000003030000000000120100000", "0100000000000000100000000000000000000000002020000000000230001000", "1100100000000000000010000000000000000000001000000000000320201000", "0000101000000000000000000000000000000000003010000000010010001000", "0000000100000000000000000000000000000000000010000000000312000000", "0000100000000000000000000000000000000000001000000000030321301000", "0000000000100000100000000000000000000000000010000000000213000000", "0000000000010000000000000000000000000000000010000000030333100000", "0000000000001000000000000000000000000000003000000000030232301000", "0000010000000000000010000000000000000000000020000000030023002000", "0000000000000001000000000000000000000000002020000000000021001000", "0000000000000000010000000000000000000000000030000000020313103000", "0000000000000000001000000000000000000000002020000000000213000000", "0000000000000000000110000000000000000000000000000000010020002000", "0000000010000000000000000000000000000000000030000000020111000000", "0000000000000000000010000000000000000000003030000000030133303000", "0000000001000000000000000000000000000000001020000000030102202000", "0000000000000000000000010000000000000000000010000000020311301000", "0000000000000000000000001000000000000000000010000000000202001000", "0000000000000000000000000100000000000000003020000000010130002000", "0000000000000000000000000010000000000000000010000000020013203000", "0000000000000000000000000001000000000000001020000000000213103000", "0000000000000100000000000000000000000000001000000000020232002000", "0000000000000010100000000000000000000000000020000000030003201000", "0000000000000000100000000000000000000000000010000000020310200000", "0000000000000000000000000000000100000000003030000000020133201000", "0000000000000000000000000000000001000000003000000000000130200000", "0000000000000000000000000000000000100000003010000000020200103000", "0000000000000000000000000000000000010000000000000000010201102000", "0000000000000000000000000000000000001000000010000000030303001000", "0000000000000000000001000000000000000000003030000000000131001000", "0000000000000000000000000000000000000010003010000000000022100000", "0000000000000000000000100000000000000000002010000000030023201000", "0000000000000000000000000000000000000000010000000000020331202000", "0000000000000000000000000000000000000000003110000000010123100000", "0000000000000000000000000000000000000000001031000000010330300000", "0000000000000000000000000000000000000000002010100000020121002000", "0000000000000000000000000000000000000000003020001000010311200000", "0000000000000000000000000000000000000000001030000100030211001000", "0000000000000000000000000000000000000000001000000010000232001000", "0000000000000000000000000000100000000000002000000000030230101000", "0000000000000000000000000000000000000000001030000000120131302000", "0000000000000000000000000000010000000000003000000000000033001000", "0000000000000000000000000000000000000000002020000000031023201000", "0000000000000000000000000000001000000000000000000000020301301000", "0000000000000000000000000000000000000000002010010000000031000000", "0000000000000000000000000000000000000100001010000000020032200000", "0000000000000000000000000000000010000000000010000000010302200000", "0000000000000000000000000000000000000000001000000000010200210000", "0000000000000000000000000000000000000000001010000000000000202100", "0000000000000000000000000000000000000000000020000000000313300010", "0000000000000000000000000000000000000000000010000000000132000000", "0000000000000000000000000000000000000000003020000000010102100000", "0000000000000000000000000000000000000000000030000000020022302000", "0000000000000000000000000000000000000000000000000000000221202000", "0000000000000000000000000000000000000000003030000000000321302000", "0000000000000000000000000000000000000000003000000000000023103000", "0000000000000000000000000000000000000000002030000000010231002000", "0000000000000000000000000000000000000001001000000000010121101000", "0000000000000000000000000000000000000000003000000000010130301000", "0000000000000000000000000000000000000000101000000000000331203000", "0000000000000000000000000000000000000000003020000000000313300001", "0000000000000000000000000000000000000000000000000001020300203000"]); G:=MatrixGroup<64,F|x,y>; print "Group G is J2 < GL(64,GF(4))";