It is shown that if
G
G
is a finite simple group with a standard
3
3
-component of type
Sp
(
6
,
2
)
{\text {Sp}}(6,2)
and
G
G
satisfies certain
2
2
-local and
3
3
-local conditions then either
G
G
is isomorphic to
Sp
(
8
,
2
)
{\text {Sp}}(8,2)
or
G
G
is isomorphic to
F
4
(
2
)
{F_4}(2)
.