the 1 isometry classes of irreducible [11,6,5]_3 codes are: code no 1: ================ 1 1 1 1 1 2 0 0 0 0 0 2 2 1 1 0 0 2 0 0 0 0 2 1 2 0 1 0 0 2 0 0 0 0 2 2 1 1 0 0 0 2 0 0 1 2 0 2 1 0 0 0 0 2 0 2 0 1 2 1 0 0 0 0 0 2 the automorphism group has order 7920 and is strongly generated by the following 9 elements: ( 1 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 1 1 1 2 2 0 , 2 0 0 0 0 0 2 0 0 0 0 0 1 0 0 1 0 2 1 2 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 2 1 0 1 2 2 2 2 2 2 0 1 1 2 2 , 1 0 0 0 0 0 1 0 0 0 0 2 2 1 1 1 2 1 0 2 0 0 1 0 0 , 1 0 0 0 0 0 2 0 0 0 1 2 1 0 2 0 0 0 0 1 1 1 1 1 1 , 2 0 0 0 0 0 2 2 1 1 2 2 2 2 2 0 0 0 0 2 2 1 2 0 1 , 1 0 0 0 0 0 0 0 2 0 2 1 2 0 1 0 0 2 0 0 0 2 2 1 1 , 1 1 1 1 1 0 1 1 2 2 1 0 0 0 0 0 0 2 0 0 1 1 2 2 0 , 1 0 2 1 2 2 2 2 2 2 1 0 0 0 0 0 1 1 2 2 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (4, 8, 7, 5)(6, 10, 9, 11), (4, 10, 7, 11)(5, 9, 8, 6), (3, 10)(4, 6)(5, 9)(7, 8), (3, 5, 10, 9)(4, 7, 6, 8), (3, 7, 10, 8)(4, 9, 6, 5), (2, 6, 3, 9)(4, 7, 8, 5), (2, 8, 3, 4)(5, 6, 7, 9), (1, 3, 4, 6)(2, 7, 5, 9), (1, 3, 9, 4, 8, 10, 7, 6, 2, 5, 11) orbits: { 1, 6, 11, 8, 4, 7, 9, 2, 5, 10, 3 }