most extractors are wall-mounted, blowing through a 100mm hole bored through the wall with a core-drill that builders, plumbers, and some electricians have. They typically extract around 80 cu.m/hr
This is adequate if
you do not have long steamy showers
you turn on the fan every time the bathroom is used, and it has a run-on timer to continue about 20 minutes after you have left
the bathroom is well insulated, and warm enough to have little condensation
(mine meets those conditions)
Connecting the fan to the light switch is the usual way of ensuring it is used.
If not, you need something more powerful. It's possible to get a larger wall fan, but I usually recommend a ducted inline fan (looks like a jet engine) which is usually concealed above the bathroom ceiling, in the loft. It has one or more grilles in the ceiling (steam rises, so will naturally be sucked out) and an airtight duct that goes out through a wall, eaves gap, or (if you have a competent roofer) through the roof
A modern, good-quality fan with a ball-bearing motor is very quiet. I can hear mine, softly, but not if I close the bathroom door. A small good small fan uses around 8w of electricity (will run continuously for more than 8 hours for a penny), and a ducted one around 20W (will run for over 3 hours for a penny) so is negligible.
I particularly recommend the ducted one.
The best brand I know is Soler & Palau and the TD250 Silent inline ducted has the power of about three small fans (note trade price shown excludes VAT). You will also need ducting, elbows, cable, grilles and (preferably) a competent electrician to fit it. If it is in the loft it is not subject to electrical anti-splashing regulations.
Rigid duct is preferable to flexible hose, which can droop and trap condensation.
For a small fan, in a WC or a non-steamy bathroom, the S&P Silent 100 T is very good, but it is sold at a lower price under the "Environment" brand (their UK subsidiary company). In the bathroom it has to be placed where it will not be squirted or splashed, and can be put above the bath if height is 2250mm above the floor (usually achievable) or otherwise in permitted zones.
If you have an exceptionally large or steamy bathroom or wetroom, or can't duct through the ceiling or wall, I can perhaps find something else.
If you are extremely rich you can get specialist or custom-made installations.
I have no connection with any of the companies or brands mentioned.