the 1 isometry classes of irreducible [7,4,3]_2 codes are: code no 1: ================ 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 the automorphism group has order 168 and is strongly generated by the following 7 elements: ( 1 0 0 0 1 0 1 1 1 , 1 0 0 0 1 0 1 0 1 , 1 0 0 1 1 0 1 0 1 , 1 0 0 1 0 1 1 1 0 , 1 0 0 0 1 1 1 1 0 , 1 0 1 1 0 0 1 1 1 , 0 1 1 1 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(6, 7), (3, 6)(4, 7), (2, 5)(3, 6), (2, 6)(3, 5), (2, 6, 7)(3, 4, 5), (1, 2, 6)(3, 5, 4), (1, 2, 6, 7)(4, 5) orbits: { 1, 6, 7, 3, 2, 4, 5 }