Answer
Based on official Jordanian legal texts
Irrevocable talaq (talaq baʾin) under Jordanian law is a divorce after which the wife cannot return to her husband except through a new contract, and it has two degrees: minor and major irrevocability. Article 91 states that a talaq is irrevocable where it completes the third divorce, occurs before consummation, is made for consideration, or is expressly stated to be irrevocable.
Minor irrevocability results from one or two divorces after consummation; Article 93 allows the parties to conclude a new marriage contract by mutual consent, even during the ʿidda, while the prior divorces still count. Major irrevocability results from completing three divorces under Article 94; Article 95 provides that a thrice-divorced woman does not become lawful to her former husband until she validly marries another man, that marriage is genuinely consummated, and it then ends.
With irrevocable talaq the marriage dissolves at once, there is no mutual inheritance, and the husband cannot take his wife back. Yet the wife still receives ʿidda maintenance in irrevocable divorce unless she is in nushūz, the deferred dowry remains due, and child support remains an obligation on the father regardless of the type of divorce.
This is a general explanation based on Jordanian Personal Status Law and does not replace advice from a qualified lawyer in a specific dispute.