I am attending a lesson in this semester in Group Theory, in the following special topics. I know that there are similar posts, but in this post I specifically ask to recommend me a combination of well written books or notes, with plenty of worked examples in the following topics:
Group Action on Set and on Group (Permutation Representation, Orbits, Stabilizers, The Orbit-Stabilizer Lemma), Burnside 's Lemma, Transitive Group Action, Group Action by conjugation (normalizer, centralizer), Semidirect product of two groups, dihedral groups, Abelian Groups (Free Abelian Groups with finite rank, Torsion Free Abelian Group, Periodic Abelian Group), The Splitting Theorem in finite generated abelian groups, Sylow Theorems (the method of counting, cycle method), Simple Groups, Small Order Groups, Solvable Groups, Solvability of $S_n$.
PS: I asked for a book combination because I believe that one single book doesn't contain all these topics
Thank you in advance.