Examples of quasitopological groups

In this paper we construct several examples of completely regular submetrizable quasitopological groups with slightly different combinations of properties, in particular, a countable quasitopological group $G$ with countable $\pi$-weight, countable tightness, countable $\delta$-character, but not first-countable, and a countable quasitopological group $P$ with countable $\pi$-weight, countable tightness, but of uncountable $\delta$-character.