# Is there a special term for groups, the only subgroups of which are the trivial group and the group itself?

Is there a special term for groups, the only subgroups of which are the trivial group and the group itself? Obviously, any such group is a trivial group or a cyclic group of prime order.

-
And in fact, "cyclic group of prime order" is the usual name for them. – Arturo Magidin Mar 15 '12 at 16:13