Who is in the right?

I work full time my s/o stays home with our daughter . When I get home he expects me to care for her alone he doesn't help me during the night ( she's an infant so I get up every two hours) so when I get up for work I am exhausted he doesn't help me on weekends either because he "needs a break" I just feel so alone and overwhelmed am I wrong for feeling like when I get home it should be 50/50 ? Like you've had a long day and and have I so let's help each other??