  The methods to classify extremal unimodular lattices with given automorphisms
are extended to the situation of modular lattices. A slightly more general
notion than the type from the PhD thesis of Michael Juergens is the det-type.
The det-type of an automorphism on $L$ determines the one of all partial dual
lattices of $L$. This easy observation allows to exclude quite a few det-types
of automorphisms left open in the above mentioned thesis. Passing to suitable
p-maximal lattices, extremal l-modular lattices of composite level 14 and 15 of
dimension 12 and the ones of level 6 and dimension 16 are classified.
