9. Let G be a nite gmup with identity element e. Let 15' act en a nite set X. This means that there is amapGKX+X,theaetian._suehthat[9h]:=g{hz}andem=zwheneg1hEGandeXThe orbit efp is the subset an given by Gp= {g'p I gE G}. For each 131-bit1 let 3:11p} he the stabilizer nip denedhy3t{p}={gEGIgp=g}. Let Xthetheeetaferbite. Let D. be the Elihedra] group with eight elements generated by G l l [I 1 ' 1 Let X = {(:l:l,l]}1 {IL :tl'jl}, the vertiees nfa equate. Enmpute G[l.,-}. Compute Stli }. Prove the tulle-wing general facts: Prove that Ship} is a subgroup of G. Show that |Gp| = leSttpn. Showthat |X|= E IGESEIPH apex-m