It seems that many English (online) sources list cases in the following order:
Nominative - Accusative - Genitive - Dative - Instrumental - Prepositional
I guess that this ordering is inspired by the unfamiliarity of many English speakers with case systems. Other sources use an ordering that is obviously inspired from Latin grammar schools:
Nominative - Genitive - Dative - Accusative - Instrumental - Prepositional
A similar issue arises with the gender. The standard Latin grammar school ordering is
Masculine - Feminine - Neuter
while some sources, like the Wikipedia article on "Russian grammar", sometimes employ the ordering
Masculine - Neuter - Feminine
I would like to learn which of these ordering, or maybe something different, is to be considered authorative. I am beginner in Russian, but I think the question is beyond standard text books and therefore appropiate for this site.