  In this study, we unveil an eccentric superradiance phenomenon in molecular
aggregates coupled to surface plasmon polaritons. Through the quantization of
electromagnetic fields in media, we demonstrate that superradiance can be
significantly enhanced by polaritons and its behavior distinguishably surpasses
the Dick's $N$ scaling law. To understand the mechanism of this anomalous
phenomenon, we derive an analytical expression of the superradiance rate, which
is general for molecular aggregates in arbitrary dispersive and absorbing
media. Furthermore, we show the importance of intermolecular distance for this
extraordinary superradiance.
