frustrated with husband

So for the last three weeks my baby has been going through a sleep regression and I have had no help from my husband. He is up almost every hour it seems and as soon as I fall back asleep he is up, so it's taken everything out of me. During the day my husband is gone from 8am until 9:00pm, so I try not to wake him and when I do he just falls asleep with him screaming in his arms. So I have to take over anyway. We also have two other children who are 4 and 5 that I take care of, so I don't really have any help or time for a nap. Now my husband has been off work for a week to do some work from home and catch up on some assignments. I know he has work to do, so I don't try to ask for much. Today he said something's about all 5 of us going to the library and I told him he could take all 3 kids and I could stay home and take nap because I haven't slept in weeks. He wasn't  having that. It turned into a big argument and it's just ridiculous. I take the kids out all the time by myself and he acts like he can't take them out once. I just don't think it's fair I do all I can and he can't take 3 kids out so I can take a little nap.