Here is a rare type depicting Maxentius as Hercules that sold for $328.20. It's not surprising that Maxentius would have a bust type like this as Diocletian and Maximianus claimed lineage with the gods- in the East, Diocletian was in the family of Jupiter and in the West, Maximianus was in the family of Hercules; so Maxentius as the son of Maximianus is also in the family of Hercules.
Maxentius, 306 - 312 n. Chr.
AE 1/3 Follis.
310 n. Chr.
Mzst. Rom.
Vs.: MAXENTIVS PF AVG, Kopf mit lowenskalp
Rs.: VOT / X / FEL / RQ in Kranz.
RIC 241