Picon 36 is the designation of an unseen ship that is part of Laura Roslin's rescue caravan as the Cylon attack leaves many civilian ships stranded or hunted down by the Cylons.
The captain of Picon 36 expresses shock to Colonial One that the caravan is jumping to Ragnar Anchorage, leaving behind the sublight ships to escape with as many people as possible before an imminent Cylon ambush on the caravan.
As its captain argues with Colonial One about leaving the sublights behind, it is assumed it escapes and joins the Fleet (Miniseries).