the 1 isometry classes of irreducible [10,6,5]_9 codes are: code no 1: ================ 1 1 1 1 2 0 0 0 0 0 4 3 2 1 0 2 0 0 0 0 7 6 3 1 0 0 2 0 0 0 8 4 5 1 0 0 0 2 0 0 2 8 6 1 0 0 0 0 2 0 5 2 7 1 0 0 0 0 0 2 the automorphism group has order 1440 and is strongly generated by the following 7 elements: ( 7 0 0 0 0 2 0 0 0 0 5 0 0 0 0 1 , 1 , 5 0 0 0 0 5 0 0 1 6 8 2 8 2 1 6 , 1 , 5 0 0 0 0 7 0 0 0 0 0 8 0 0 3 0 , 0 , 7 0 0 0 0 8 0 0 3 3 3 3 2 1 6 8 , 1 , 2 0 0 0 0 0 2 0 8 5 7 3 5 7 3 8 , 0 , 1 6 8 2 0 5 0 0 6 8 2 1 5 5 5 5 , 1 , 7 1 5 2 0 4 0 0 7 7 7 7 0 0 0 3 , 0 ) acting on the columns of the generator matrix as follows (in order): (5, 10)(6, 8)(7, 9), (3, 9)(4, 7)(5, 8), (3, 4)(5, 8)(6, 10)(7, 9), (3, 8, 4, 5)(6, 9, 10, 7), (2, 8, 4, 5, 6, 9, 7, 3), (1, 9)(3, 6)(4, 5), (1, 5, 3, 10)(6, 8, 7, 9) orbits: { 1, 9, 10, 7, 3, 6, 5, 4, 8, 2 }