Hexapods - insects see Epiclass Hexapoda Latreille, 1825 Class Insecta Linnaeus, 1758 - insects Subclass Dicondylia Haeckel, 1866 Infraclass Pterygota Lang, 1888 Division Neoptera Martynov, 1923 Subdivision Dictyoptera Latreille, 1829 see Superorder Dictyoptera Latreille, 1829 Order Mantodea Burmeister, 1838 - mantids and praying mantids