(a, b | a group of degree 3. Let G 10.1.2. Let Dg b? = e, ba a3b), and let S3 be the symmetric (b) × ((1 2 3)) and D8 × S3. Let H = K = (a) × ((1 2 3)) be subgroups of G. Is H a normal subgroup of G? || What about K?

Exercises 1. Let G be the group and H the subgroup given in each of the following exercises of Section 4.4. In each case, is H normal in G? a. Exercise 1 b. Exercise 2 c. Exercise 3 d. Exercise 4 e. Exercise 5 f. Exercise 6

3.4.7