Question

find all normal subgroup of D8​

Answer 1

Step-by-step explanation:

The lattice of subgroups of D8 is given on . All order 4 subgroups and 〈r2〉 are normal. Thus all quotient groups of D8 over order 4 normal subgroups are isomorphic to Z2 and D8/〈r2〉 = {1{1,r2},r{1,r2},s{1,r2}, rs{1,r2}} ≃ D4 ≃ V4.

Answer 2

Answer:

Step-by-step explanation: