1. Consider D12={1,a,,a11,b,ba,,ba11}, where a=12,b=2, and aba= b. If H={1,a4,a8,b,ba4,ba8}D12, then determine whether H is normal in D12. 2. Let D4={1,a,a2,a3,b,ba,ba2,ba3},K={1,b}, and H={1,a2,b,ba2}, where a=4,b=2, and aba=b. Then KHD4. Show that KHD4 but K/D4