**Core Concept**
The superior gluteal nerve is a nerve that originates from the dorsal branches of the L4, L5, and S1 nerve roots. It is a key component of the sciatic plexus and provides motor innervation to various muscles of the gluteal region, playing a crucial role in hip extension and external rotation.

**Why the Correct Answer is Right**
The superior gluteal nerve primarily supplies the gluteus medius, gluteus minimus, and tensor fasciae latae muscles. These muscles are involved in hip abduction, medial rotation, and stabilization of the hip joint. The superior gluteal nerve does not supply the gluteus maximus muscle, which is responsible for hip extension and external rotation. The gluteus maximus is instead innervated by the inferior gluteal nerve.

**Why Each Wrong Option is Incorrect**
**Option A:** The gluteus medius and minimus muscles are indeed supplied by the superior gluteal nerve, making this option incorrect.
**Option B:** The tensor fasciae latae muscle is also supplied by the superior gluteal nerve, so this option is incorrect.
**Option C:** This option should be the correct answer, as the gluteus maximus muscle is not supplied by the superior gluteal nerve.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the superior and inferior gluteal nerves arise from the dorsal branches of the L4, L5, and S1 nerve roots, and their distinct distributions determine the motor functions of the gluteal muscles.

**Correct Answer:** C. Gluteus maximus