It looks like an Aeonium except that they usually grow on a stem. If that's what it is it won't be suitable as it would need deeper compost, and also needs winter shelter as its not hardy.
Have a look at Sempervivums. Hywel did a great blog on hardy succulents not long ago - have a look at what appeals to you.

This is Aeonium Schwarzkopf - its not hardy here, so although you can grow it outdoors in the summer, you'd need to move it inside for the winter.

Check out Sempervivums - most of those are hardy here, and come in a range of leaf colours, some with webbing, some not.

oops, sorry Steragram, we posted at the same time...

Hi, this looks like a Aeonium, maybe A Zwartkop, which unfortunately is frost tender, and gets a bit too tall for what you want, [up to 6ft], try looking at some of the Saxifraga species, which apart from S stolonifera, are fully hardy, Derek.

Sorry Stera and Bamboo, nothing there when I started typing, but at least we're on the same hymn sheet, Derek.

Delosperma species and hybrids are mostly hardy Iceplants. Lewisia cotyledon varieties and hybrids should work well, too, though other species of Lewisia are a little too much the hard core Alpines to be easy. There are many hardy species of Sedum, as well. Coryphantha vivipara is quite hardy...and also quite thorny! All have showy flowers in season.

You can't go wrong with Houseleeks, and there are some gorgeous colours. I love the red ones, but you could make a lovely tapesty of different colours, and they are bulletproof and evergreen. alternatively, you could have a collection of small sedums such as cauticola which would be lovely for about 6 months of the year, but disappear to ground level in autumn.

Thank you all for the suggestions all very helpful. I am looking forward to the better weather when I can get to the nursery to see what I can buy. I particularly like the idea of the house leeks. Karen do you
purchase from a specialist nursery on the net ?

No Marjorie, I just pick them up in my local nurseries and Garden Centre.