Compact advice - good in low light, with decent flash

[Hellou]

I've just bought a digital compact to take out and about when it's not convenient to take my SLR. I got the Fuji JZ510 from Jessops and I will be taking it back as it is useless. The flash is really poor, especially when using the zoom even only a metre or so away - very grainy and dark.

Can anyone recommend a digital compact that is good in low light conditions and/or has a decent flash.
I really just want this camera to put in my bag on nights out or to have handy for candid shots so I will be using a lot at night or indoors.
One that's quick as well because there's nothing worse than camera delay.
An optical zoom between 5 - 10x.
My budget is between £100 - £200 as this is a second camera so I can't break the bank.

Any ideas?

Thanks