SAHM - husband shirking duties

Hannah
Question for the SAH moms - how do you divide up the duties? My husband and I got into a big fight last night, because for the first time since my daughter was born (1 month ago) I asked him to get up and feed her. He threw a fit, saying that if I want to be a SAHM, this is what that means, that I get up with her and sleep during the day when she sleeps. But he also wants me to do chores around the house and keep it clean, so like when the fuck am I supposed to sleep. He has not gotten up to take care of her once since she's been here, and he did not have to work the next day so I asked if he could for ONE night. I'm finding it a little ridiculous that I'm the only one who takes care of her. I can count on one hand the amount of times that he's fed her, even during the day, and he doesn't even ask to hold her, he just does it when I ask him to, so I can do something. He thinks that because he's the only one working, he's exempt from getting up at night. And I'm a HUGE asshole for suggesting he help take care of HIS daughter too. Like he legit feels this way. I don't know what to do, any ideas of how to come up with a compromise? I only asked him to do it because he had the next day off. I really didn't think it was that difficult, but he acted like I asked him to paint the whole house in a day.