Final answer:
The femoral nerve controls the quadriceps muscle group, which is responsible for extending the knee. The answer is option C.
Step-by-step explanation:
The nerve that controls the quadriceps muscle group is the femoral nerve. The quadriceps muscle group is located in the anterior compartment of the thigh and is composed of four muscles: the rectus femoris, the vastus lateralis, the vastus medius, and the vastus intermedius. This group of muscles primarily works to extend the knee. The femoral nerve originates from the lumbar plexus and is responsible for innervating the anterior thigh muscles, including the quadriceps femoris. As a result, the correct answer to which nerve controls the quadriceps muscle group is C. femoral nerve.