The Dehn--Nielsen--Baer theorem states that for a closed, connected and orientable surface M the extended mapping class group of M is isomorphic to the outer automorphism group of the fundamental group of M. (See, e.g., Theorem 8.1 of A Primer on mapping class groups, available online here: http://www.math.uchicago.edu/~margalit/mcg/mcgv50.pdf.)
I was wondering whether there is similar connection between the two for nonorientable surfaces? If not, are they related at all?
Sorry if this question is trivial: I am a complete begginer in the subject of mapping class groups; I hardly learned the definition last week. What I'm interested in are surface groups of nonorientable surfaces and I thought I might be able to extract some information about them using what is known about MCGs.
I probably messed up the tags completely: please fell free to re-tag appropriately.