Lady Bracknell: There are distinct social possibilities in your profile. The two weak points in our age are its want of principle and its want of profile. The chin a little higher, dear. Style largely depends on the way the chin is worn. They are worn very high, just at present. Algernon!
Algernon: Yes, Aunt Augusta!
Lady Bracknell: There are distinct social possibilities in Miss Cardew's profile.
Algernon: Cecily is the sweetest, dearest, prettiest girl in the whole world. And I don't care twopence about social possibilities.
Lady Bracknell: Never speak disrespectfully of Society, Algernon. Only people who can't get into it do that.
(Bolding my own.)
What do the bolded lines mean, and what do they say about the characters?