Exercise 3. This software expresses \(U\)-groups as internal direct product of subgroups \(H_1 \times H_2 \times \cdots \times H_t\), where \(|H_i|\) divides \(|H_{i -1}|\). Run your program for the groups \(U(32), U(80)\), and \(U(65)\).

Please enter \(n\) and click the button. The direct product form of \(U_n\) will show below.