The really long general answer to this question is, "it depends on a lot." What's the density altitude at takeoff? What's the actual performance of this airplane (not the book performance when it was brand new) in these conditions when it's not over gross? How much over gross are you going to be? Is this airplane built to be able to handle turbulence and/or landings at the heavier weight? What kind of terrain will you be flying over?
There are MANY such questions, and people like Max Conrad who did some severely-over-gross flights had the answers before they went. Max Conrad had access to the engineers who designed the planes, and I'm sure he did plenty of calculations of his own as well.
One clue as to what to expect lies in the Cessna 182 Type Certificate Data Sheet:
C182 TCDS said:
Special Ferry Flight Authorization. Flight Standards District Offices are authorized to issue Special overweight ferry flight authorizations. These airplanes are structurally satisfactory for ferry flight if maintained within the following limits: (1) Takeoff weight must not exceed 130% of the maximum weight for Normal Category; and (2) The Never Exceed Airspeed (VNE) and Maximum Structural Cruising Speed (VC) must be reduced by 30%; and (3) Forward and aft center of gravity limits may not be exceeded; and (4)
Structural load factors of +2.5 g. to -1.0 g. may not be exceeded. Requirements for any additional engine oil should be established in accordance with Advisory Circular AC23.1011-1. Increased stall speeds and reduced climb performance should be expected for the increased weights. Flight characteristics and performance at the increased weights have not been evaluated.
Assuming the structure of the airplane is sufficient to handle the increased weight in the conditions encountered, there are many performance issues to consider:
1) Runway length. Acceleration will be much slower. In theory, you need 70.71% of your takeoff speed before reaching the halfway point of the runway. In reality, this is not such an exact science and you probably don't want to be lifting off exactly at the end of the runway, so having 75% of Vy at the halfway point is advisable.
2) V-speeds. Speaking of Vy, it's going to go up. Vx, Vg, and all your stall speeds will go up as well, because they all depend on angle of attack, which will be increased at heavier weights at the same airspeeds. In theory Va will go up, but since you're overloaded your G-limits should be reduced, as should Vne and Vno.
3) Climb performance. This can be calculated based on the actual performance of the airplane, and you can get a reasonable guess by attempting to power-load the airplane the same as it would be when over gross. In the Max Conrad Comanche 250 example, the Comanche 250 has a gross weight of 2800 pounds and 250 horsepower. That gives you 11.2 pounds per hp. However, since he took off at 4800 pounds, he had an airplane with 19.2 pounds per hp. To get a reasonable estimate of how the plane would perform, he could have loaded it up to gross weight and set power to 58% to equal that 19.2 pounds/hp and the length of the takeoff roll and climb performance should have been roughly equal, though some difference would result from needing to accelerate to the higher Vy when heavily loaded.
I've gotta run so I can't continue right now, but there's obviously a lot of factors at work. If you don't NEED to go overgross, don't. If you NEED to (and taking your friends out is most definitely not such a need), be sure you know all of the factors involved, both engineering and legal.