Hi, I'm so sorry to hear about your mum's diagnosis... My mum was diagnosed in her fifties and I had similar struggles early on. It's worth giving the Alzheimer's Society support line a ring and see if they can find anything for you, but I would suggest giving Dementia UK a try too.
Sometimes councils and local charities offer activity groups for adults with other disabilities (not just dementia) which you could get your mum involved in if age was an issue for her - I get it! Also, depending on how far along she is or if she would be comfortable going, you could always find some groups in the local area (gardening, painting, choir etc) that aren't for people with dementia... You could then ring the coordinator, explain your mum's situation, and I'd hope that would mean the coordinator would be more accomodating with your mum. That's something I really wish I had thought to do back when my mum could still do more. Also might be worth seeing if there's a young-onset group in your area, you can usually find this through FB.
Another thing, if you haven't already, reach out to the social services in your area and let them know about your mum. They'll probably carry out a care assessment to see what support your mum needs at this stage. In my area, they helped us find some relevant groups in the local area but waiting lists can be long.
I hope you're OK. Remember even posting this question shows how much you care about your mum and you're doing everything you can - sometimes the services just aren't there and it's not our fault. There's still a lot of happy and fun moments to be had out there!