Lateral Sacral artery is a branch of
Lateral Sacral artery is a branch of Posterior division of Internal Iliac artery. Other branches of Posterior division of Internal Iliac artery are

Superior gluteal Artery
Iliolumbar artery
Anterior division of Internal Iliac artery
Posterior division of Internal Iliac artery
External Iliac artery
Direct branch from Common Iliac artery