the 1 isometry classes of irreducible [38,34,3]_3 codes are: code no 1: ================ 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 the automorphism group has order 15552 and is strongly generated by the following 9 elements: ( 2 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 , 1 0 0 0 0 2 0 0 0 0 1 0 0 0 2 2 , 1 0 0 0 0 2 0 0 0 0 1 0 0 1 0 1 , 1 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 , 2 0 0 0 0 1 0 0 2 1 0 2 2 1 2 0 , 2 0 0 0 0 2 0 0 2 1 1 0 2 1 2 2 , 2 0 0 0 2 0 2 1 1 1 2 2 0 2 2 2 , 2 0 0 0 0 2 2 0 0 2 1 2 0 0 2 0 , 0 2 2 1 2 0 0 2 1 0 1 0 1 0 1 2 ) acting on the columns of the generator matrix as follows (in order): (5, 28)(6, 7)(8, 9)(11, 12)(14, 15)(16, 17)(19, 20)(22, 23)(25, 26)(30, 31)(33, 34)(36, 37), (4, 24)(5, 20)(6, 7)(10, 13)(11, 14)(12, 15)(16, 26)(17, 25)(18, 27)(19, 28)(21, 29)(22, 31)(23, 30)(33, 34)(36, 37), (4, 18)(5, 25)(6, 7)(10, 13)(11, 14)(12, 15)(16, 19)(17, 20)(24, 27)(26, 28)(32, 35)(33, 36)(34, 37), (3, 8)(4, 16)(6, 7)(10, 11)(13, 14)(18, 19)(21, 22)(24, 26)(27, 28)(29, 31)(33, 34)(36, 37), (3, 23, 8, 21, 9, 22)(4, 15, 16, 13, 17, 14)(5, 26, 27, 25, 28, 24)(6, 7)(10, 20, 11, 18, 12, 19)(29, 30, 31)(33, 34)(36, 37), (3, 12)(4, 30)(5, 21)(8, 11)(9, 10)(13, 15)(16, 31)(17, 29)(18, 25)(19, 26)(20, 24)(22, 28)(23, 27), (2, 34)(3, 31)(4, 27)(5, 16)(6, 33)(7, 32)(8, 29)(9, 30)(11, 12)(13, 20)(14, 19)(15, 18)(17, 28)(21, 22)(24, 25)(35, 36), (2, 21, 10)(3, 4, 35)(5, 34, 31, 28, 33, 30)(6, 23, 12, 7, 22, 11)(8, 16, 37, 9, 17, 36)(13, 18, 24)(14, 20, 26, 15, 19, 25)(27, 32, 29), (1, 38)(2, 11, 6, 28, 7, 16)(3, 29, 30, 23, 22, 8)(4, 32, 10, 33, 27, 34)(5, 36, 17, 35, 12, 37)(9, 21, 31)(13, 20, 26)(14, 15, 25, 24, 18, 19) orbits: { 1, 38 }, { 2, 34, 10, 16, 33, 37, 5, 27, 13, 11, 19, 9, 21, 32, 17, 26, 4, 15, 31, 8, 7, 36, 6, 28, 12, 20, 25, 24, 30, 18, 23, 29, 14, 22, 35, 3 }