It is not a pure government company and not a purely private company.
It is a public limited company. (limited by LIC of India Shareholding/ working like Semigovernment company)
Its founder, promoter & controller is Life Insurance Corporation Of INDIA (100℅ GOVT. OF INDIA ORGANISATION).
In LIC HFL currently, 40.31 ℅ shareholdings controlling stake of its parent company LIC OF INDIA.
Remaining 59.69 ℅ shareholdings of FII & public.
GOVT. OF INDIA shareholding is zero in LIC HFL.
So Govt. India is not Controlling the LIC HFL.
LIC HFL is working under total control in LIC OF INDIA.
No, :LIC housing finance is not a govt company..,. It is a private company