the 1 isometry classes of irreducible [11,8,3]_3 codes are: code no 1: ================ 1 1 1 2 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 0 0 0 2 1 0 0 0 2 0 0 0 0 0 1 0 1 0 0 0 2 0 0 0 0 2 0 1 0 0 0 0 2 0 0 0 0 1 1 0 0 0 0 0 2 0 0 2 1 1 0 0 0 0 0 0 2 0 0 2 1 0 0 0 0 0 0 0 2 the automorphism group has order 72 and is strongly generated by the following 5 elements: ( 2 0 0 0 1 0 0 0 1 , 1 0 0 0 2 0 0 1 1 , 2 0 0 2 1 1 2 2 0 , 2 0 0 0 0 2 0 2 0 , 0 1 2 0 0 1 1 0 1 ) acting on the columns of the generator matrix as follows (in order): (4, 10)(5, 6)(7, 8), (3, 9)(4, 7)(5, 6)(8, 10), (2, 8, 10)(3, 4, 5)(6, 7, 9), (2, 3)(5, 7)(6, 8), (1, 11)(2, 5, 7, 3)(6, 10, 8, 9) orbits: { 1, 11 }, { 2, 10, 3, 4, 8, 6, 9, 5, 7 }