As a generalization of
(
t
)
(t)
-groups and of
(
q
)
(q)
-groups, a group
G
G
is called a
(
π
−
q
)
(\pi - q)
-group if every subnormal subgroup of
G
G
permutes with all Sylow subgroups of
G
G
. It is shown that if
G
G
is a finite solvable
(
π
−
q
)
(\pi - q)
-group, then its hypercommutator subgroup
D
(
G
)
D(G)
is a Hall subgroup of odd order and every subgroup of
D
(
G
)
D(G)
is normal in
G
G
; conversely, if a group
G
G
has a normal Hall subgroup
N
N
such that
G
/
N
G/N
is a
(
π
−
q
)
(\pi - q)
-group and every subnormal subgroup of
N
N
is normal in
G
G
, then
G
G
is a
(
π
−
q
)
(\pi - q)
-group.