the 1 isometry classes of irreducible [14,7,6]_3 codes are: code no 1: ================ 1 1 1 1 1 1 1 2 0 0 0 0 0 0 2 2 1 1 1 0 0 0 2 0 0 0 0 0 2 1 2 1 0 1 0 0 0 2 0 0 0 0 1 2 2 1 0 0 1 0 0 0 2 0 0 0 2 1 0 2 2 1 1 0 0 0 0 2 0 0 1 0 2 2 1 2 1 0 0 0 0 0 2 0 0 1 2 1 2 2 1 0 0 0 0 0 0 2 the automorphism group has order 1092 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 2 2 2 0 0 1 0 0 0 0 1 2 1 2 0 2 0 1 2 0 1 1 2 2 1 2 2 1 0 0 1 , 1 0 0 0 0 0 0 1 2 2 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 1 0 2 2 1 1 , 0 0 2 0 0 0 0 1 2 0 1 1 2 2 0 0 0 0 0 0 1 0 0 0 0 0 2 0 1 2 2 1 0 0 1 2 2 2 2 2 2 2 2 0 0 0 0 0 0 , 0 2 1 2 1 1 2 1 1 1 1 1 1 1 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 1 2 2 1 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4, 14, 11, 7, 8)(5, 12, 6, 13, 9, 10), (2, 4, 6, 5, 13, 11)(3, 10, 9, 8, 12, 7), (1, 7, 3)(2, 10, 12)(4, 8, 6)(5, 9, 11), (1, 6, 14)(2, 10, 8)(3, 11, 7)(9, 12, 13) orbits: { 1, 3, 14, 8, 7, 4, 6, 9, 10, 11, 12, 2, 13, 5 }