Head of Household Question

Me and my gf live together along with our daughter. I make about 1.5x as much as she does. My gf technically pays most of the utility bills, but we use my income to pay for everything else. I pay for food, phones, cable, etc etc. I still pay more than 50% of the costs of everything added up. If I can claim our daughter and file as HOH I get like $3400 and my gf owes like $36. If I file as HOH and let my gf claim our daughter she gets $5k and i get like $1100. If I file as single and let her claim our daughter she gets $5k and i get like $150. I use the HR block software and there is really no option for 2 unmarried people living together with a dependent. It basically asks if the child lived with you or the other parent more and i answer with the same amount. Then it asks about claiming the dependent and the only option with having the other parent claim the child says about divorced, separated, or living apart.
My question is can I still file as HOH and have my gf claim our daughter?