[SOLVED] group of order (35)^3 1. The problem statement, all variables and given/known data Show that every group of order (35)^3 has a normal subgroup of order 125. 2. Relevant equations 3. The attempt at a solution I was trying to use the Third Sylow Theorem to show that there can only be one Sylow 5-subgroup but 21 Sylow 5-subgroups seems to work fine.