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