Hybrid Supercapacitors (HSC) are innovative energy storage solutions that are becoming essential in many fields of applications. Their performances are strongly influenced by several parameters, such as temperature conditions, load characteristics and State-Of-Charge (SOC). For this reason, it is becoming fundamental to characterize their performances under different scenarios. One of the best ways to investigate the performances is by employing the Electrochemical Impedance Spectroscopy (EIS) measurement. However, since HSC is a recent technology, databases and studies focused on impedance analysis are not currently available in the literature. For this reason, this work presents the results of a large measurement campaign carried out to acquire impedance data on a large frequency range (from 1 mHz to 100 kHz) under different temperatures and SOC conditions. The constructed dataset has been used to investigate impedance anomalies and to analyze the effects that temperatures and SOC may have on the HSC impedance. The large obtained dataset can also be used for diagnostic and prognostic purposes.