We've got an Arika as one of the ships in the campaign. Our breakdown was close to this:
Operations: 122 (19 officers, 103 enlisted)
Tactical: 76 (12 officers, 50 enlisted)
Sciences: 50 (30 officers, 20 enlisted)
Engineering: 124 (24 officers, 100 enlisted)
Flight Operations (wing of 48 fighters): 172 (52 officers, 120 enlisted) -- this entails flight crews, shuttlebay operations and dedicated techs.
Our total: 544
I figure this a standard peacetime crew complement
"War is an ugly thing but not the ugliest of things; the decayed and degraded state of moral and patriotic feelings which thinks that nothing is worth war is much worse. A man who has nothing for which he is willing to fight, nothing which is more important than his own personal safety, is a miserable creature and has no chance of being free unless made and kept so by the exertions of better men than himself."
John Stuart Mill