The large moth family Gelechiidae contains the following genera:
Hapalonoma Haplochela Haplovalva Harmatitis Harpagidia Hedma Helcystogramma Heliangara Hemiarcha Hierangela Holaxyra Holcophora Holcophoroides Holophysis Homotima Horridovalva Hylograptis Hyodectis Hypatima Hyperecta Hypodrasia
References
Natural History Museum Lepidoptera genus database