Theyre are 4;
-Yo
-Tú
-El/Ella/Ud.
-Ellos/Ellas/Uds.
The chart for conditional is ia/ias/ia/iamos/-/ian, so in order to conjugate Hablar you would need to know for what? For example the Yo form of Hablar in conditional is Hablaria, because conditional does not remove the AR. :)