Well thats effectively what the current rules say a generic worlds garrison could be (of course the exact details would lie with the player and the GM), I would also point out that the factory defenses are for most houses company employes, with some house units, and that the militia forces change in size and quality of equipment the better the tech the world has. So New Avalon would have a comparatively larger and better equipped militia force than a Generic low tech world.
What dose the Fluff say on Garrison sizes? Well sadly not a lot, you see battletech has a bit of an issue, out side of the source books it quite often ignores militia units and often any unit that is not a battlemech unit (some times even if the unit is an Fedcom RCT). This has changed a bit in the past few years, but that still dose not change the fact that much of the fluff tends to ignore them. That said the 4th succession war atlas and the Wolf Clan source book dose give some indications.
The 4th SW atlas dose mention many a world having XX number of tank and infantry, however it dose not make much effort to distinguish House units and planetary militia forces. Per that book most worlds in the Kurita and Laio worlds seems to have 5 to 15 regiments of tanks and infantry, with some having up to 30, Tikonov had 80 regiments and as far as I know it's the highest amount seen. The Wolf Clan Source book dose indicate what forces are militia and what is House (though IIRC it dose not list house non mech units as much as it could), in this case Lyran and FRR worlds by in large effectively had either 1D6 Regiments or 1D4 Brigades or 1D3 Divisions (the entry's did not have die amounts thats my work, also note Brigades and Regiments made up roughly 40% each of the totals while Divisions 20%), However no direct references as to what a Brigade or Division contain (in context of this book), though some entry's seem to indicate that a Brigade is 3 or 4 regiments, However we do know in B-tech a Division will contain one or more brigades which in turn is comprised of more than one regiment. However regardless the average is probably close to around 4 to 6 regiments.
The Fed Suns field manual mentions that a worlds Militia can range from one mixed regiment to dozens of regiments. The old House laio book indicates that the Home Guard Regiment that many worlds have is comprised of three battalions one of tanks and two of motorized infantry, and is the primary defense of many Laio systems, Though most worlds have their own militias for local defense comprising of at lest two battalions one of which has a light tank company. The Newer Laio handbook mentions the Home guard regiments has swapped out the tank battalion for a battlemech battalion (and as I mentioned previously by 3080 they seemed to have largely switched back to the tank battalion -mostly due to losses). With a worlds militias being largely identical in size as mentioned with the AFFS, backwater or unimportant systems may have a single regiment, more important worlds may have dozens.
The New House Kurita book mentions that the typical Militia is comprised of 2 to 3 regiments of infantry, 1 to 3 battalions of tanks and aerospace assets (most of which are likely conventional fighters or VTOLs), roughly half of these forces are reserve formations.
Lastly the 4th SW atlas mentions that between the 2nd and 3rd wave the AFFS brought up 10 to 20 militia regiments for the 18 worlds they had taken already to garrison them, also each world was given a battlemech company.
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And now for Just how big are the House armies?
Canon Strengths of various B-tech factions of the late 3050s and Early 3060s (largely)
Note a Regiment has between 108 and 144 mechs, it can be a bit more (up to 220) but that is exceedingly rare, 108 to 132 is far more typical. A Clan Cluster typically will have around 45 Mechs, though it can be a low as 20 to as many as 75, typical is around 30 to 45 (the extremes are rare).
DCMS 3059 has 76 regiments (in 3949 it was ~99 Regiments, 3025 ~80 regiments)
AFFS 3062 has 87 regiments (3049 ~78, 3025 ~76)
LCAF 3062 has 78 regiments (3049 ~90, 3025 ~52)
FWL 3059 has 74 regiments (3049 ~55, 3025 ~56)
CCAF 3063 has 44 regiments (3049 ~23, 3025 ~50)
Comstar 3062 50 divisions (3049 ~75 Divisions)
WoB 3062 10 divisions (their are quite a few more being built in secret)
FRR 3062 4 regiments
SLDF 3062 5 regiments
A Comstar/WoB Div is roughly a regiment of mechs (108) with a mixed regiment of other arm,s, including exactly 39 ASFs (why 39 and not say 36 I do not know), though the actual brake down out side of ASFs will very.
Minor houses
TDF 3058 18 regiments
MAF 3058 23 regiments
AMC 3058 4 regiments
MHAF 3058 4 regiments
CFM 3058 1 regiment
Other minor factions, roughly 3 regiments (this actually includes some of the notable pirate bands)
Mercenary forces (3067) adds Roughly 110 regiments (at lest that is what is listed, it dose mention that their are a fair number of smaller formations that are not, many of which only last a few years)
As for the Clans (and their fates)
Clan Nova Cat 3062 35 Clusters (Abjured from clan space (exiled effectively), Dead by ~3145)
Clan Hells Horses 3059 37 Clusters (Abjured from clan space by ~3075)
Clan Jade Turkey 3059 49 Clusters (Abjured from clan space by ~3075)
Clan Wolf 3059 24 Clusters (Abjured from clan space by ~3075)
Clan Star Adder 3059 52 Clusters
Clan Ice Hellion 3059 21 Clusters (Dead by ~3080)
Clan Fire Mandrel 3059 30 Clusters (Dead by ~3080)
Clan Blood Spirit 3059 27 Clusters (destroyed in ~3085)
Clan Cloud Cobra 3061 22 Clusters
Clan Coyote 3061 35 Clusters
Clan Diamond Shark 3061 33 Clusters (Abjured from clan space by ~3075)
Clan Ghost Bear 3061 58 Clusters (Abjured from clan space by ~3075)
Clan Goliath Scorpion 3061 24 Clusters (Abjured from clan space, absorbed Nueva Castile and becomes the periphery nation Escorpión Imperio)
Clan Snow Raven 3061 26 Clusters (Abjured from clan space by ~3075)
Clan Steel Viper 3061 45 Clusters (Dead by ~3080)
Clan Wolf in Exile 3061 11 Clusters
Their is some indications that Clan Smoke Jaguar had roughly 50 clusters if not sixty, Clan Wolf was likely around 50 as well before it split.
Well that takes their battlemech formations out of the way, but what about their other formations like Tank and Infantry regiments?
Sadly theirs relatively little direct info to go on, but their is some info out their.
the Old AFFS field manual mentions that of the 119 battlemech regiments it has in 3025 (including roughly 40 Mercenary) their is over 10 times that number in Tank, Infantry, Artillery and Aerospace Fighter Regiments, indicating that theirs more than 1,200 of these Regiments, some of which will be Merc as well but I dont get the felling that theirs hundreds of them in use by the AFFS. The 4th SW atlas indicates that theirs more than 700 Regiments in the AFFS army
The 3062 AFFS Field manual allows a rough brake down of the AFFS regular army.
Theirs 53 Regular battlemech Regiments (27 March milita the rest are training units), Regular army Tank Regiments out number the battlemechs by a bit more than 5 to 1, meaning theirs roughly 270 Tank Regiments in the AFFSs regular army. Infantry Regiments make up 2/3rds of the entire AFFSs regular army, At the lest theirs 650 Regiments of Infantry but this only accounts for Tanks and battlemechs, but what about Artillery, Aerospace and perhaps any other combat Regiments? As such theirs probably in 3062 around 800 to 1,000 Infantry Regiments. Lastly it's mentioned that if the March militia and planetary militias where added the ratio of infantry to other units will be higher than ~66%. Also half of the Regular army is grouped in either RCTs or combat Brigades (the rest are independent formations)
As for other formations the 4th SW atlas mentions that the Lyrans started with their part of the war with 33 battlemech and 622 other regiments, leaving a notable force along the Marik border.
the 3025 era House Marik book mentions that the FWL had some 60 Mech regiments (including mercs) and 700 other regiments with 24 mech and 350 other regiments being leage units the rest being attached to their respected leaders.
It then further brakes this down as...
Battlemech 22 Regiments
Armor 40 Regiments
Aerospace Fleets 12
Infantry 200 Regiments (40 Divisions)
Thats House Controlled forces
However that may be understating things a bit, as the book mentions that theirs 154 Providences in the FWL, the Smallest is on the World of New Assam (in fact it's just a continent on that world), this providence controls 3 regiments, 4 battery's of artillery and 2 battlemechs, and is compared to Oriente and Andurien the two power houses with both having 50 regiments, and multiple battlemech regiments, this indicates that theirs likely hundreds more regiments than what the earlier segment suggests (unless one wants to think that the average of 154 Providences is like 5 regiments).
The 2765 DCMS field report mentions that their was several hundred ASF wings, and thousands of tank and infantry regiments in the DCMS in 2765 (in addition to 114 battlemech regiments).
In short for every House battlemech regiment theirs roughly 10 to 20 other Regiments.
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Lastly heres some ideas on House Naval numbers other than Warships (I.e. combat dropships)
Here's the known production rates (one of the few areas where theirs actually a fairly decent record)
Fortress: From 2974-3027 less than 24 built, 3021-3027 20 built, 3031-3047 2 per year, 3051 production resumes (3055 upgraded model arrived)
Merlin: 3064-3067 more than 12 built (most at 1 yard, single example at another -Likely WoB pawning off a few from that one) -replaces Kuan Ti in FWL production
Nekohono'o: 3065-3067 6 built
Claymore: 3054-3057 5 every 4 years (one per nine months)
Kuan Ti: 3055-3057 12+ built (a FWL yard was starting in 3057)
Nagumo: 3056-3057, 2 built, more building
Dove: 3030-3057 ~24 built (Medical variant of the Condor)
Hercules: 3053-3057 8 built, 4 more under construction
Octopus: 3051-3057 ~12 built
Rose: 3054-3057 9 built
Interdictor: 3074-3076 ~30 built (largest single class in WoB "Pocket Warship" fleet)
Arondight: 3074-3076 ~3 squadrons (~12-18) by end of year (3076), 3 yards, first ships rushed into service in late 3074
Merlin R1: 3082-3090 ~12 converted (lack of hulls, periphery nation)
Clan
Miraborg: 3053-3057 at lest 12 built
Mercer: 3065-3067 3 lost in operation against the Clan Snow Raven world of Lum in 3065
Aesir/Vanir: 3077-3081 25-30+ built, production continued at reduced rates (one yard shut down around 3081, other yard continued) still in production in ~3117
Isegrim: 3083-3085 easily 20-30+ built, Lyrans have "useful numbers", WiE 2 squadrons, Wolf has more (at lest a flotilla), selling some to others
Polaris: 3100-3101 20 built (only produced for one year, 9 months really) per it's fluff It's cruise missile salvos rival some tactical nuclear missiles in power
Operationally they seem to be grouped into 4 to 6 ship squadrons, one of which typically will be a supply ship, the rest will be a mix of Carriers and assault ships (well enough carriers to bring a Wing of ASFs). Most houses seem to have Patrol fleets and assault squadrons (diffrence is ones oriented to take the battle to the enemy the other is defencive), At best thiers probly around 100 or so squadrons, some will be indipendent combat units, others attached to patrol groups other attached to a "Brigade" (I.e. Davion Guards), ect. Jumpship suport seems to be common for these units
Lastly some rough numbers of production rates
Per year each house would be producing at a
very rough estimate
Battlemechs: at lest 400 up to around 1,000, perhaps a bit more
Combat vehicles: at lest 1,000 to a few thousand (probably dose not include APCs...)
Aerospace fighters: roughly around half the rate of battlemech production (the old FWL book mentions 325 ASFs for ~500 mechs)
Conventional Fighters: likely as many as ASFs (largely relegated to militias)
Combat Dropships: around 4 to 6 per year
Transport and other Dropships: dozens per year, at the lest
Jumpships: a several dozen per year
Warships (~3050 to 3070): roughly 1 to 3 per year
Battle armor: Hundreds at the lest, thousands more likely
Clan production numbers are much harder to figure out, but likely in total perhaps about equal to one or two houses, spread out over ~12-16 clans, with less Tank and Conventional fighter production however.