The order of Subdeacon was suppressed at Vatican II if I remember correctly (although, I think that Traditionalist societies such as the FSSP still use them, I don’t know if they have a indult for that or something).
Not exactly.
The extant order of Subdeacons within the Roman Church was suppressed, by Pope Paul VI, true. So were the Roman minor orders (Lector, Porter, and acolyte). All subdecons lost their status as major clerics, because it was inappropriate. (most were later ordained deacons anyway.)
Pope Paul VI also noted that the Roman Church’s understanding of Subdeacons as Major Orders (and thus causing an ontological change in the soul of the ordinand) was in error.
However, Pope Paul VI also created the instituted order of Acolyte in the same decree… and declared that it could be termed, at the local ordinary’s decision, the order of subdeacon. They are still canonically laymen, but are under promises of obedience, and have been instituted into liturgical ministry in a stable order for the good of the Church, but have not had an ontological change to their soul.
Very little of the west’s role for the subdeacon/instituted acolyte is restricted to the subdeacon; a subdeacon is the proper extraordinary minister of Holy Communion, and is one of the 4 types of minister permitted to perform the purification of vessels (The other three being ordained: deacons, priests, and bishops).
One should also note that subdeacons were in common use throughout orthodox Christendom (including Rome) by the mid 3rd century. They appear to have been initiated by the Apostles.