The two most noticeable parts of the Jack “flower” are the hood (the pulpit) and Jack himself, inside the pulpit. The pulpit is technically a spathe, which is a type of bract that often encloses the flower. (Like the dogwood bracts which most of us call 'flowers'.) Inside, “Jack” is technically called a spadix which is “a spike with small flowers crowded on a thickened axis.” See photos.
One feature to note is the small hole at the bottom of the inflorescence, right where the bract meets the stem, on male Jack-in-the-pulpits. The tentacle-y bits are the stamens which produce pollen. Apparently, the flowers emit an odor that mimics the scent of fungus, which attracts small flies and gnats. The hooded spathe, with lines that guide insects toward the bottom and lighter coloration at the bottom, lures insects in.
This is where that hole at the bottom of the bract comes in handy. On the male flowers, the gnats roam around and get coated in pollen… but most eventually find their way out via that hole. In the female flower, there’s no exit hole, and the insects may never find their way out, ensuring pollination.