 Philopoemen, in the late 3rd century, having already reformed the foot soldiers into a Macedonian-style phalanx, also reformed the cavalry.The Achaean cavalry was organised into "lochoi", files of eight men, who were then grouped into "dilochiai", double files of 16, then grouped into "oulamoi" of 32, "ilai" of 64, "hipparchiai" of 128 and "syntagmata" of 256.The Antigonid kingdom of Macedon's cavalry only constituted a small fraction of the army.