  The first author has recently shown that semisimple algebraic groups are
classified up to motivic equivalence by the local versions of the classical
Tits indexes over field extensions, known as Tits p-indexes. We provide in this
article the complete description of the values of the Tits p-indexes over
fields. From this exhaustive study, we also deduce criteria of motivic
equivalence for semisimple groups of many types, hence giving a dictionary
between classic algebraic structures, representation theory, cohomological
invariants and Chow motives of the twisted flag varieties for those groups.
