  The nature of the fractional quantum Hall state at quarter filling in a wide
quantum well is still under debate. Both one-component non-Abelian and
two-component Abelian orders have been proposed to describe the system.
Interestingly, these candidates received support from different experiments
under disparate conditions. In this article, we focus on non-Abelian orders
from Cooper pairing between composite fermions and the Abelian Halperin-(5,5,3)
order. We discuss and predict systematically different experimental signatures
to identify them in future experiment. In particular, we address the
Mach-Zehnder interferometry experiment and show that it can identify the
recently proposed 22111 parton order.
