We present overview of solutions of contraction equations for all four fine group
gradings of Lie algebra sl(3,C). We show the role of symmetry groups of these
gradings in the process of solving contraction equations and identification of
results. We focus on so called Gell-Mann grading, identify corresponding solutions
with Lie algebras and compare these Lie algebras with results of graded
contraction from Pauli and Cartan grading of sl(3,C).