Connexions - "Relationship by family ties, as marriage or distant consanguinity. Often with a and plural" (OED).

Technically, Mr. Darcy and the Bennet family are from the same class, the gentry, but he has better connections. Mr. Darcy is related to Lady Catherine De Bourgh who holds the highest title a woman can have within the Gentry class. Comparatively, the Bennet's are related to the Gardiners, who are in a class below the gentry, the professional class.