In the 1960s, Harry Riccobene was asked to describe the hierarchy as it was in 1952 - the last time he was on the street. He was relying on his recollection but he identified Ida as boss, Reginelli as underboss and six capos - Antonio Pollina, Joseph Rugnetta, Gaetano Scafidi, Ignazio Denaro, Frank Barrale and Demetrio Pennestri (Riccobene was assigned to Scafidi at the time and identified Mike Maggio as also being a member of that crew).
Reginelli, who functioned effectively as Ida's street boss, had a crew reporting direct to him and Riccobene believed that Felix DiTullio, Pat Massi, Joseph Lanciano and Dominick Oliveto were some of the members of that crew - though he said Oliveto may have been a capo at some point.
Oliveto was also identified in other reports as being the family's consigliere in the 1950s - making him the first member we have evidence of holding the position before Rugnetta. In 1956, Reginelli died and Oliveto became acting underboss (possibly official later) though no sources have identified if a new consigliere was elected after Oliveto until Rugnetta got the job under Bruno.
Things are a little hazy when Ida flees in late-1958 or early-1959. Some accounts have Oliveto briefly taking over before being replaced by Rugnetta as acting boss and then Pollina. Another account has Rugnetta taking over immediately after Ida but then being voted down by the family at a meeting in September 1959 (which may have been Peter Maggio's making ceremony) and put in the position of underboss. Oliveto was selected to take over and then replaced by Pollina. When Bruno took over, he made Denaro underboss and Rugnetta was put in as consigliere.