1. The problem statement, all variables and given/known data 1. Let Dn be the dihedral group of order 2n, n>2 . A. Prove that each non-commutative sub-group of Dn isomorphic to Dm for some m. B. Who are all the non-commutative subgroups of D12? 2. Let G be the group of all the matrices from the form: 1 a c 0 1 b 0 0 1 where a,b,c are in Z and the binary action is matrix multiplication. What is the center of this group? 2. Relevant equations 3. The attempt at a solution I'll be glad to receive some guidance in these two questions... All the ways I can think about are very not elegant ... There are probably some elegant ways out there... Thanks in advance!