The TDs who were expelled from Fine Gael for voting against the abortion bill wants an overhaul of the whip system.
The Reform Alliance says the party whip system - which forces TDs to vote along party lines - is "strangling creativity".
It's published a document on political reform, which also proposes a mandatory reshuffle for any minister after a certain period of time in any one Department.
It also wants to link the pay of politicians to the performance of the economy, and to force political parties to publish annual accounts.
