This is actually a well oiled machine at Twickenham, home of rugby, where the capacity crowd is nearer 80000.
There is just the one station and, come end of the match, there are no additional trains put on. People just use the regular commuter trains that are on the regular routes up to Waterloo station in central London. Even when there is a match you can get the train as a regular traveller although getting a seat is unlikely.
Only a modest amount of staff are needed at Twickenham station for crowd control. There is practically no parking at Twickenham so that crowd really does have to get the train or park far away from the stadium in a residential street.
It takes people a while to diffuse down to the station so there are packed trains for a good couple of hours.
The same trains also serve Ascot where the horses race. So you can have a train half full of people in rugby shirts and half filled with 'silly hats', as per the fashion at Ascot.
Not only that but the same trains can carry thousands of more people heading up to London for the Notting Hill Carnival (again no parking, drinking likely).
To further stretch the capacity of this small commuter line, you can also have another younger crowd on the same trains and at the same time heading to Reading, which is at the other end of the line, for a rock festival.
This can all happen with 'weekend engineering work' on the line, delays being merely typical for South West Trains, i.e. ten minutes late with the odd cancellation.
There can be delays due to drunken people deciding to press the alarms and opening the doors in between stations, or other such silly behaviour.
Despite all of this trains come through, people get to where they are going and everything is remarkably orderly. The mood on these trains is more like the atmosphere on a lift - you know, nobody talks, everyone behaves and there is no confrontation. It is really quite remarkable and efficient.
Come Monday morning and the commute to work, now that is when the trains on this small branch line get seriously packed. Being able to move your rib cage for the purposes of breathing is not so easy at 7.30 a.m. on those trains that did such an excellent job of getting everyone to the rugby over the weekend.