I haven't slept in about a year!

My baby girl is 9 months old. Since she was born, I have been the one who takes care of her every night. My fiance and I both work (I go into the office 40+ hours a week, take her to daycare, do stuff around the house) and he works from home. He never has to leave the house honestly.

I pick her up from daycare, do bedtime routine, bathtime... and I am the ONLY one who wakes up every night with her. Even the second day in the hospital, he slept all night and did not help one bit.

I'm just so beyond exhausted. I tell him this all the time and he never offers to take over just 1 night so I can get sleep or take her in the morning so I can sleep in. He says that he's not me and she won't be happy with him taking care of her. I think he's just being lazy then he gets upset with me if I dont hang out with him after putting her down, but I'm just so freaking tired and have no help.

I dont know what to do? How can I get him to step up? I just need some sort of break, but he thinks me going to work is my break...

Oh also, he sometimes sleeps in our guest room so he always always gets a good night sleep.