There have been at least five bands called The Dynamites.
1. An instrumental/beat band from Sarpsborg, Norway who excisted from 1958-1966. They released two singles on the Troll label and did a tour of East Germany in 1965. Two of the members went on to the freakbeat group The Divorced.
2. A garage/R&B/freakbeat band from Basel, Switzerland.
3. A 60s garage rock band from Japan (ザ・ダイナマイツ) which featured a slide guitar (unusual for a Japanese band at the time).