the 1 isometry classes of irreducible [7,2,6]_9 codes are: code no 1: ================ 1 1 1 1 1 2 0 5 4 3 2 1 0 2 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 5 0 0 0 0 0 0 5 0 0 0 5 0 0 0 0 0 0 0 5 0 0 0 5 0 , 1 , 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 2 2 2 2 2 0 0 0 0 1 , 1 , 6 6 6 6 6 0 0 0 0 3 0 0 0 3 0 0 0 3 0 0 0 3 0 0 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(4, 5), (1, 2)(4, 6), (1, 6)(2, 5)(3, 4) orbits: { 1, 2, 6, 3, 5, 4 }, { 7 }