Domain growth kinetics in the isosceles triangular Ising antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CoNb</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

We have studied the domain-growth kinetics of fourfold-degenerate antiferromagnetic (AF) and threefold-degenerate ferrimagnetic states in the isosceles triangular Ising antiferromagnet ${\mathrm{CoNb}}_{2}{\mathrm{O}}_{6}$ by ac susceptibility measurements and Monte Carlo simulations. In both magnetic phases ac susceptibility after the field quench is found to decrease with time according to the power-growth law with an universal growth exponent $n=0.21\ifmmode\pm\else\textpm\fi{}0.01.$ The prefactor in the power-growth law suggests that the zero-field growth of the AF state is strongly suppressed by the application of magnetic fields along the direction perpendicular to the frustrated isosceles-triangular lattice. Monte Carlo results show the unusual domain growth dominated by the reversal of the free magnetic spins near favorable domain walls where the exchange field is effectively canceled out due to the isosceles triangular geometry of spins. The obtained domain configuration strongly supports our neutron-diffraction results that revealed the temporal shift of the magnetic Bragg peak position during the growth.