Here is the current ship and population breakdown for the Orion

Military Ships
Orion Missilestar
Patrolstar Vigilant

CIF Ships (not military but not exactly civilian)
Zephyr
Sandpiper (being used as advanced scout. VERY lightly armed)

LZ aka Lucky Zenith a CIF supporting mining ship. Their only mining ship.

Botanical Garden Ship Dykstra

Passenger Ships
Le Bellot (upper class far nice than the other 2 passenger ships)
Pallas
Grand Adour (don't let the name fool you it's at best a second class passenger hauler)

Cargo Ships
Joshua
Ruth
Coral
Jetty
Yark
Indri

Population Breakdown

Military Orion, Vigilant, and survivors of the Tapir 488
Ships picked up day of Cylon attack from Cyrannus Systems 851
CIF 287 (in blue)
Ships rescued after they were abandoned by the Perseus (they are in italics because they are not yet integrated) 2177

Total 3803

This is the current ships and people of the Orion's fleet. They are much lower on mining, industrial, repair, and supplies than the Chiron's fleet but do have a fairly decent military advantage. The Orion has been repaired as best they can and a Missilestar is basically a Heavy Cruiser while the Centaur Class is a light cruiser. Also the Centaurs multipurpose roll made it useful but lowered it's firepower.