Searching for materials with substantial magnetoresistance (MR) serves as an interesting academic challenge while holding central significance for modern technological applications in magnetic data storage and spintronics. Here, we systematically investigate the Shubnikov-de Haas (SdH) quantum oscillations and magnetotransport properties in high-quality single crystals of quasi-one-dimensional (quasi-1D) topological semimetal ${\mathrm{Ta}}_2{\mathrm{PdSe}}_6$, which is a quasi-1D layered ternary transition metal trichalcogenide with a chain-like structure along the $b$ axis. The nonsaturating XMR of $3.6\times {10}^4\%$ along the intrachain direction and $1.6\times {10}^4\%$ along the interchain direction at 35 T and 1.7 K in ${\mathrm{Ta}}_2{\mathrm{PdSe}}_6$ was observed. Additionally, the $x\text{−}z$ AMR curves change from a dumbbell-like pattern with $A_2$ symmetry to an irregular butterfly-like pattern with $A_n$ ($n>2$) as the temperature drops below $T^{*}=20\mathrm{K}$. The analyses of the measured $y\text{−}z$ AMR results reveal that the higher-order symmetry components $A_4$ and $A_6$ are maximized around $T^{*}$. Hall effect measurements reveal that the carrier concentrations deviate from the 1:1 ratio at low temperatures with transport dominated by hole carriers, while the carrier concentrations exhibit an abrupt change and carrier mobilities increase around $T^{*}$ in ${\mathrm{Ta}}_2{\mathrm{PdSe}}_6$. Based on the findings, we conclude that the emergence of higher-order symmetry in the AMR at low temperatures may be associated with the modulation of the density of states near the Fermi level or the dominance of high-mobility carriers in transport. Our study further advances the understanding of uncommon magnetotransport properties in quasi-1D topological semimetals and establishes experimental support for the potential application of anisotropic spintronic devices.

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• Magnetotransport
• Quantum transport
• Shubnikov-de Haas effect
• Topological materials
• Semimetals