Arsenal open their Champions League campaign away against Croatian champions Dinamo Zagreb, before daunting back-to-back matches against Bayern Munich, the German champions.
Bayern knocked the Gunners out in the Last 16 in both the 2013/14 and 2012/13 seasons.
Arsenal last played Olympiakos in the group stage of the 2012/13 campaign - when they lost 2-1 away, but won 3-1 at home.
The Gunners played Dinamo Zagreb in the play-off round in 2006, winning 3-0 away and 2-1 at home.
Arsenal fixtures:
16 Sep D Zagreb (a); 29 Sep Oly (h); 20 Oct Bayern (h); 4 Nov Bayern (a); 24 Nov D Zagreb (h); 9 Dec Oly (a)
Full draw:
GROUP A: PSG, Real Madrid, Shakhtar Donetsk, Malmo
GROUP B: PSV Eindhoven, Manchester United, CSKA Moscow, Wolfsburg
GROUP C: Benfica, Atletico, Galatasaray, Astana
GROUP D: Juventus, Manchester City, Sevilla, Borussia Monchengladbach
GROUP E: Barcelona, Bayer Leverkusen, Roma, BATE Borisov
GROUP F: Bayern Munich, Arsenal, Olympiacos, Dinamo Zagreb
GROUP G: Chelsea, Porto, Dynamo Kiev, Maccabi Tel-Aviv
GROUP H: Zenit, Valencia, Lyon, Gent
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