  This study has three principal aims: (i) to increase the number of detected
pulsation modes of 44 Tau, especially outside the previously known frequency
ranges, (ii) to study the amplitude variability and its systematics, and (iii)
to examine the combination frequencies.
  During the 2004/5 and 2005/6 observing seasons, high-precision photometry was
obtained with the Vienna Automatic Photoelectric Telescope in Arizona during 52
nights. Together with previous campaigns, a data base from 2000 to 2006 was
available for multifrequency analyses.
  Forty-nine pulsation frequencies are detected, of which 15 are independent
pulsation modes and 34 combination frequencies or harmonics. The newly found
gravity mode at 5.30 c/d extends the known frequency range of instability.
Strong amplitude variability from year to year is found for the \ell = 1 modes,
while the two radial modes have essentially constant amplitudes. Possible
origins of the amplitude variability of the \ell = 1 modes, such as precession
of the pulsation axis, beating and resonance effects are considered. The
amplitudes of the combination frequencies, f_i + f_j, mirror the variations in
the parent modes. The combination parameter, which relates the amplitudes of
the combination frequencies to those of the parent modes, is found to be
different for different parents.
