If it is on the internet it must be true then....right?
Wolfpack is a loose term for how they the sub commanders in a flotilla worked. when you build a sub in game you build one and stack them in a flotilla.
http://uboat.net/flotillas/2flo.htm
a lot of the info we have about german sub warfare came from UK tracking them.....so the wolfpacks that you show in the link are names of groups of u-boats that UK knew at the time where in that region due to enigma code hackers reading german mail. those are code names that the uk used for tracking the subs in an area. that is not the name of the wolfpack.
The idea of a wolfpack, iirc, was a doctrine developed by Donitz in the interwar period wasn't it? My understanding was that in the context of the German u-boat operations, it related to groups of submarines brought together, often to target a specific convoy (you're quite right in that wolf packs weren't a long-term administrative unit). The point I was responding to was:
6 subs were ever in a wolf pack. most were 3
I used uboat.net because I could easily link it for you (and it tends to be fairly reliable, although no source, internet or print, is perfect), but am happy to provide more robust sources. There are numerous German sources (including more than a few primary German sources translated into English) and u-boat operations are very well documented in this context. Taking the Panther pack, from Jurgen Rohwer's (a leading German Naval Historian, who has written works that are u-boat specific, but I have the Chronology ready at hand)
Chronology of the War at Sea, it notes (on p. 200):
From 8 October, in the Eastern North Atlantic, the 'Panther' pack is formed from the boats coming from the convoy HX. 209 and from new arrivals. It consists of U 84, U 454, U 353, U 437, U 597, U 442, U 253, U 706, U 260, U 753, U 575, U 602 and U 57, to which over the following days, are added U 662, U 382, U 620, U 610, U 301, U 443, U 563, U 621 and U 441.
I can look up other packs if you like, but I'm confident we'll find numerous wolf packs with more than 6 submarines. In terms of Rohwer's credentials, he's one of the editors of
U-Boat Attack Logs, and the author of
Axis Submarine Successes of World War Two, and
Critical Convoy Battles of WW2 (and he's cited by other authors whose opinions I respect)
, so I'd bet good money he knows what he's talking about. Rohwer aside, I haven't come across a single source on the Battle of the Atlantic that doesn't mention wolf packs containing significant numbers of submarines. It may be the case that the books I've read are poorly put together, but I'd think it'd be unlikely that all of my sources were wrong.
This isn't to say that there weren't, of course, also numerous subs working independently (most subs, most of the time), and wolf packs aren't permanent formations but rather brought together for specific purposes, unlike HoI4 flotillas. I'm just noting that large wolf packs did exist. I'm not arguing that the best possible gameplay mechanic is to use a wolf-pack focussed system - that's another issue entirely.
For example, while there were convoy battles between large numbers of u-boats and convoys/escorts (for example, in response to HX 231, Germany deployed a line of 15 u-boats to intercept, while 15 u-boats were initially ordered to attack ONS 5), a large number of sinkings (iirc the majority, but memory's a bit hazy here) were merchant ships sailing independently, while the vast majority of warships sunk were not in the course of convoy battles but targets of opportunity for lone u-boats. A number of suggestions have been made regarding mechanics to better represent the submarine's role in the war at sea, and I agree that if it wasn't possible to have a system that could manage both wolf packs and lone subs at the same time, that a lone subs model would be the best representation (rather than our current 'all wolf pack' model).
Am very happy to be put straight on any of the points I've made above (or look up further details if you're not convinced) - just trying to set the record straight, definitely not trying to bend it

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the sub visibility is reduced by variants. In HOI3 or HOI2 they use to have a doctrine that reduced sub visibility. I thought i was raider patrol but clearly now looking at the HOI4wiki that was my mistake.
No worries at all, there's a lot of little details when it comes to looking into how subs work in HoI4 (or HoI3) - I've been looking very closely at how subs work within the game for the mod I'm working on, which was the only reason I was confident about that.