the 2 isometry classes of irreducible [5,2,4]_9 codes are: code no 1: ================ 1 1 1 2 0 3 2 1 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 8 0 0 0 3 0 1 3 6 , 1 , 8 0 0 4 4 4 0 0 8 , 1 , 6 0 0 4 1 2 2 2 2 , 1 ) acting on the columns of the generator matrix as follows (in order): (3, 5), (2, 4), (2, 5)(3, 4) orbits: { 1 }, { 2, 4, 5, 3 } code no 2: ================ 1 1 1 2 0 4 3 1 0 2 the automorphism group has order 20 and is strongly generated by the following 3 elements: ( 5 0 0 7 1 6 0 2 0 , 1 , 0 4 0 8 8 8 4 0 0 , 1 , 1 5 8 7 0 0 0 3 0 , 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3, 4, 5), (1, 3, 4, 2), (1, 2, 3, 5) orbits: { 1, 2, 5, 4, 3 }