  We study the ternary clathrate Pr3Pd20Si6 in specific heat and
AC-susceptibility measurements on a high-quality single crystal, distinguishing
antiferromagnetic (AFM) and antiferroquadrupolar (AFQ) ordering on two
sublattices of inequivalent Pr sites. The specific heat shows the direct
involvement of nuclear spin degrees of freedom in the AFM ordering, which is
well supported by our calculation of the hyperfine level scheme without
adjustable parameters. Pr3Pd20Si6 is therefore one of the rare materials where
the nuclear moments are involved in the formation of the magnetic ground state.
