I know this is a bit of a necro, but I figure anyone who wants easy to access Construct rules can just copy paste below.
Here's my summary of the construct rules, at least for permanent constructs, pretty much directly adapted from the SotC SRD:
Stunts (Assuming -1 Refresh each, but since I'm not super familiar with SotC, it could be -2?):
Minion Constructs
You have minion constructs– lots of them. As a default, in a scene, you may have the bare minimum of minions easily on hand – two or three of Average quality.
You may make three upgrades to improve your minions, spent at the point you bring them into the scene. Each upgrade either by adds three more to their number, or boosts the quality of three of them by one step (no minion can be more than Good quality).
This stunt may be taken multiple times to increase the starting number of minions (taking it twice means you start out with five or six of Average quality) and the number of upgrades (taking it twice also means you have six upgrades). You must spend all of your upgrades at the start of the scene when you bring in your minions, but you needn’t bring them all in right away.
Minion Rules:
Minions may be either Average, Fair or Good quality. This quality denotes their base effectiveness in one sort of conflict (physical, social or mental), as well as their capacity for stress. Average minions can take one box of stress, Fair can take two, and Good can take three.
The quantity of minions is simply the number of minions present, but together, minions act in one or more groups, each of which is treated as single characters in a conflict. Minions who act together as a group are much more effective than individual minions. When there are two or three minions in a group, the group receives a +1 bonus to act and react. If there are four to six minions in a group, the bonus is +2; seven to nine minions get a +3 bonus, and any single group with ten or more members gets +4.
When minions take stress, it is applied sequentially (i .e ., filling all boxes instead of just a single one). Damage that overflows one minion is applied to the next minion. This means a solid enough effort can take out an entire swath of minions. If all the minions are killed and the leader is attached to the group of minions, the leader takes any overflow stress.
When a character takes an action (an attack or a maneuver) against groups of minions, he will occasionally succeed by far more than anticipated. This leaves him in a situation where he has a large number of “wasted” shifts. These surplus shifts are called overflow, and can be used in an immediate, follow-up action so long as it’s not as another attack or other offensive maneuver. To put it simply, overflow is used to take supplemental actions.
One of the main uses for minions is to improve the effectiveness of their leader. Whenever a character and a group of minions are attacking the same target, they are considered to be attached. This has two benefits for the leader: he receives a bonus based on the group size (including him), and damage is applied to minions before it’s applied to him. It has no benefits for the minions, who give up their ability to act independently, but that’s more or less their job (see the Leadership skill for more, page XX). Leaving or attaching to a group is a free action, and a character may detach from a group automatically by moving away from it.
Combat Reenchantment
Requires Minion Constructs
During a fight, you may spend a fate point to call in reinforcements. The reinforcements show up at the beginning of the next exchange. You may replace up to half your lost minions by doing so.
Companion Construct
You must take this stunt two or three times.
You have a single, exceptional companion construct. It is Fair quality, and has two free advances (that, of course, make sense within the context of the construct's creation).
This stunt must be taken multiple times, either two or three, in order to build an exceptionally capable companion construct. Taken twice, this stunt lets you define 4 advances beyond the two free base advances. Taken three times, the stunt allows you to define 2 additional advances and, in addition, promote your construct to Good quality. If you’ve already promoted your construct to Good quality, you may take a different advance.
Companion Rules:
Companions are attached to named characters in the same way minion groups are, and grant a +1 in appropriate conflicts due to group size. Companions (assumably when attached to characters) do not have stress boxes, like minions do; instead, they give the character the ability to withstand an additional (assumably mild) consequence – specifically, the consequence that the Companion is taken out, kidnapped, or otherwise removed from the conflict. A companion, like a minion, can only assist in one type (physical, mental, social) of conflict.
A companion can have a number of advances, with each advance making her more capable. An advance can do one of the following:
Quality: Improve the quality of a companion by one step (from Average to Fair, Fair to Good, and so on). This advance may be taken several times up to the companion’s maximum quality, one step lower than that of her master (depending on the 'water level' of the campaign).
Scope: Improve the scope of a companion, allowing them to assist in an additional type of conflict (e.g., Physical and Mental, Physical and Social, Social and Mental). This may be taken twice, allowing the companion to be effective in all three scopes.
Independant: The companion is able to act independently of her partner, assumably with a greater AI than the limit of simple constructs, allowing the character to send the companion off to perform tasks. An independent companion is treated as a minion if she’s caught out on her own (quality in this case indicates her capacity for stress, like with minions), and is not useful for much unless she’s also skilled (see below).
Skilled: The companion may buy skills of her own. If attached, the companion may use these skills on behalf of her partner, instead of the partner using his skill at his rating. If the companion has also taken the Independent advance (above), the Skilled advance the companion can also use these skills when not attached. One advance can buy one skill at the companion’s quality, two skills at quality -1, or three skills at quality -2. The Skilled advance can be bought multiple times, but a different skill or set of skills must be chosen each time.
Keeping Up: If the companion’s patron has a means of locomotion or stealth that makes it hard for the companion to keep up with him, then the companion with this advance has a similar ability, but it is useful only for keeping up with her patron when attached, and for no other purpose.
Communication: The companion is able to communicate with her patron via the magical bond. This isn’t a guarantee on the occasion that the GM decides to short out the method of communication. Still, GMs should think twice before cutting off a character from his companion, when this advance is in play.
