The gluteus maximus is the largest and most superficial of the three gluteal muscles. It is primarily responsible for extension and lateral rotation of the hip joint. The nerve that innervates the gluteus maximus muscle is the Inferior Gluteal Nerve.
Let's briefly look at the other options:
Superior Gluteal Nerve: This nerve innervates the gluteus medius, gluteus minimus, and tensor fasciae latae muscles.
Obturator Nerve: This nerve primarily innervates the adductor muscles of the thigh (adductor longus, adductor brevis, adductor magnus (anterior part), gracilis, and obturator externus).
Femoral Nerve: This nerve is the main nerve of the anterior thigh and innervates the quadriceps femoris group (rectus femoris, vastus lateralis, vastus medialis, vastus intermedius), sartorius, and pectineus muscles.
Therefore, the nerve supply of the gluteus maximus muscle is the Inferior Gluteal Nerve.