if you can log on as host, go to HOST | SQL and
select * from portalalias
look at the http_alias column. if there is a url with / and another name at the end, that is a child version of a portal name.
However, be aware that a portal can have a child portal http_alias format, and then can be given a regular alias with a parent format.
PortalID 7
www.mydomain.com ... this is a parent-type alias for portal 7
PortalID 8
www.mydomain.com/floatation this is a child-type alias for portal 8
PortalID 8 w
ww.floatation.com this is a parent-type alias for portal 8
So the portal with PortalID 8 ... it has both child and parent format URL. Each alias points at the same content. There is no difference between a child portal and a parent portal except that parent portals have their own primary URL.
Lots of portals start out as a child portal of one domain/url and then after development they get their own domain/url and grow up to be parent portals.
Many, if not most, parent portals are never truly "parents" since most of them have no children. The nomenclature is not entirely fitting.