the 1 isometry classes of irreducible [26,22,4]_5 codes are: code no 1: ================ 1 1 1 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 1 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 1 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 1 1 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 1 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 1 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 3 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 the automorphism group has order 31200 and is strongly generated by the following 9 elements: ( 4 0 0 0 0 4 0 0 0 0 4 0 2 1 0 1 , 2 0 0 0 0 2 0 0 2 0 4 4 2 0 2 1 , 3 0 0 0 0 3 0 0 1 4 1 4 0 1 3 1 , 3 0 0 0 0 4 0 0 0 4 2 4 1 1 3 2 , 2 0 0 0 0 2 4 1 1 3 2 4 4 1 2 4 , 2 0 0 0 0 3 4 3 2 4 3 3 0 4 3 2 , 2 0 0 0 4 3 2 2 2 0 2 1 1 3 2 4 , 0 1 3 1 4 4 4 4 1 4 0 2 3 3 1 0 , 2 2 1 4 0 0 0 1 1 4 0 2 0 1 3 1 ) acting on the columns of the generator matrix as follows (in order): (4, 9)(5, 23)(10, 11)(12, 24)(13, 26)(14, 25)(15, 19)(16, 22)(17, 21)(18, 20), (3, 12)(4, 15)(5, 7)(6, 13)(8, 14)(9, 16)(10, 18)(11, 17)(19, 22)(20, 21), (3, 12, 24)(4, 16, 19)(5, 23, 7)(6, 13, 26)(8, 14, 25)(9, 15, 22)(10, 17, 20)(11, 18, 21), (3, 18, 23, 9, 14, 20, 6, 16, 24, 11, 5, 22, 8, 17, 26, 4, 12, 21, 7, 15, 25, 10, 13, 19), (2, 23, 24, 25)(3, 6, 17, 20)(4, 10, 7, 22)(5, 19, 15, 18)(8, 9, 14, 16)(11, 21, 12, 13), (2, 18, 24, 19)(3, 21, 17, 13)(4, 23, 7, 25)(5, 22, 15, 10)(6, 9, 20, 16)(8, 12, 14, 11), (2, 16, 25, 8, 24, 9, 23, 14)(3, 22, 21, 5, 17, 10, 13, 15)(4, 11, 19, 6, 7, 12, 18, 20), (1, 12, 23, 16, 24, 5, 2, 19)(3, 14, 9, 13, 7, 11, 22, 10)(4, 6, 21, 17, 15, 18, 20, 8), (1, 9, 15, 24, 16, 7, 10, 3, 22, 5, 19, 4, 2, 14, 13, 17, 6, 12, 18, 11, 21, 23, 8, 20, 25, 26) orbits: { 1, 19, 26, 15, 22, 16, 13, 5, 24, 11, 2, 17, 25, 4, 9, 7, 3, 6, 14, 20, 23, 10, 12, 18, 21, 8 }