The Classics.

Lunar Class Cruiser, the AKM of the Cruisers. It is safe to say, all cruisers and possibly all battlecruisers of the Imperial Navy are built on the base of a Lunar Class, replacing torps with a Nova Cannon (Mars BC, Dominator Cruiser), macrocannon decks with lance batteries (Gothic Cruiser), lance deck with macrobatteries (Dominator and Tyrant cruisers) or flight decks (Mars and Dictator Cruiser).
This certain LCC, "The Grim Auxiliatrix" (Yes, HS references galore, together with the admiral's name... did I say I ain't good at making up names for ships that aren't Chaos?) has Imperial Navy favor which allows it to summon Cobra Class Destroyers out of nowhere.