The male counterpart of a nymph is the satyr.
In Greek mythology the satyrs are deities of the woods and mountains. They are half human and half beast; they usually have a goat's tail, flanks and hooves. While the upper part of the body is that of a human, they also have the horns of a goat.
They are the companions of Dionysus, the god of wine, and they spent their time drinking, dancing, and chasing nymphs. The Italian version of the satyr is the faun, while the Slavic version is the Ljeschi.
Faunus is the ancient Italian rural deity whose attributes in Classical Roman times were identified with those of the Greek god Pan - a fertility deity, more or less bestial in form.
Pan was associated by the Romans with Faunus. Originally an Arcadian deity, his name is a Doric contraction of paon (“pasturer”) but was commonly supposed in antiquity to be connected with pan (“all”).
See a list of all the characters in Mythology at SparkNotes.com.