  Let $X$ be a definable group definable over a small model $M_0$. Recall that
a global type $p$ on $X$ is definable $f$-generic over $M_0$ if every left
translate of $p$ is definable over $M_0$. We call $p$ strongly $f$-generic over
$M_0$ if every left translate of $p$ does not fork over $M_0$.
  Let $H$ be a group definable over the field ${\mathbb Q}_p$ of $p$-adic
numbers admitting global definable $f$-generic types over ${\mathbb Q}_p$. We
show that $H$ has unboundedly many global weakly generic types iff there is a
global type $r$ on $H$ which is strongly $f$-generic over ${\mathbb Q}_p$ and a
${\mathbb Q}_p$-definable function $\theta$ such that $\theta(r)$ is finitely
satisfiable in ${\mathbb Q}_p$.
  Recall that the $\mu$-type $\mu(x)$ on $H$ is the partial type consisting of
the formulas over ${\mathbb Q}_p$ which define open neighborhoods of the
identity of $H$. We show that every global weakly generic type $r$ on $H$ is
$\mu$-invariant: For any $\epsilon\models \mu$ and $a\models r$, we have
$\epsilon\cdot a\models r$.
  Let $G$ be groups definable over ${\mathbb Q}_p$ such that $H$ is a normal
subgroup of $G$ and $G/H$ is a definably compact group. Then we show that the
weakly generic types on $G$ coincide with almost periodic types $G$ iff $G$ has
boundedly many global weakly generic types.
