1. Magnoliopsida (formerly known as Dicotyledoneae or Dicots): These plants have two cotyledons (seed leaves) in their embryos, net-veined leaves, flower parts usually in multiples of four or five, and a vascular cambium that allows for secondary growth.

2. Liliopsida (formerly known as Monocotyledoneae or Monocots): These plants have one cotyledon in their embryos, parallel-veined leaves, flower parts usually in multiples of three, and a vascular cambium that is usually absent, limiting secondary growth.

It's important to note that these classifications are being debated and are not absolute. Some plants don't fit neatly into one category or the other, and the two groups are not necessarily monophyletic (meaning they don't share a single common ancestor).