Extended Data Table 1 Comparison of anomalous Hall conductivity \({{\boldsymbol{\sigma }}}_{{\boldsymbol{x}}{\boldsymbol{y}}}^{{\bf{A}}}\) in zero-field and saturation magnetic field \({{\boldsymbol{B}}}_{{\bf{sat}}}^{{\bf{est}}}\) among bulk single crystalline antiferromagnets with small net magnetization

Material	Spin texture	q-vector	\({B}_{{\rm{sat}}}^{{\rm{est}}}\)	\({\sigma }_{xy}^{{\rm{A}}}\)	\({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\)	\({T}_{\max }\)	Ref.
		(r.l.u.)	(T)	(Ω⁻¹cm⁻¹)	(%)	(K)
Gd₃(Ru_0.95Rh_0.05)₄Al₁₂	non-collinear	\(\left(\frac{1}{6},\frac{1}{6},0\right)\)	5.5	600	4.2 − 4.7	2	This work
\({{\rm{Mn}}}_{3}{\rm{Sn}}\)	non-collinear	(0, 0, 0)	660	20 − 140	0.4 − 2.4	2	^27,47
Mn₃Ge	non-collinear	(0, 0, 0)	1500	15 − 350	0.4 − 3.6	2	^28,48
Mn₃Ga	non-collinear	(0, 0, 0)	180	18	0.5	300	⁴⁹
Mn₃Sb	non-collinear	(0, 0, 0)	650	310	1.1 − 1.5	150	⁵⁰
Mn₃Pt	non-collinear	(0, 0, 0)	2445	100	0.8	120	⁵¹
CoNb₃S₆	non-coplanar	\(\left(\frac{1}{2},0,0\right)\)	250	27	0.7	23	²⁹
CoTa₃S₆	non-coplanar	\(\left(\frac{1}{2},0,0\right)\)	170	75 − 135	0.9 − 1.6	6	^30,31
Mn₅Si₃	non-coplanar	\(\left(\frac{1}{2},0,0\right)\)	180	160	2.3	25	⁵²
NbMnP	non-collinear	(0, 0, 0)	1100	230	1.9 − 3.2	2	⁵³
TaMnP	non-collinear	(0, 0, 0)	1200	370	1.4 − 2.7	2	⁵⁴
Ce₂CuGe₆	collinear	(0, 0, 0)	90	550	0.2	1.3	⁵⁵

Gd₃(Ru_0.95Rh_0.05)₄Al₁₂ shows a commensurate non-collinear spin texture, a giant anomalous Hall conductivity, and a large Hall angle. It also has a low magnetic field for transition into the ferromagnetic state, simplifying the data analysis. \({T}_{\max }\) is a temperature where \({\sigma }_{xy}^{{\rm{A}}}\) takes a maximum value. Error bar of \({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\) in our material is estimated from the variation of the values between a bulk sample and a device. As for Mn₃Sn and Mn₃Ge, error bars for \({\sigma }_{xy}^{{\rm{A}}}\) and \({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\) indicate variation of the values for different field directions. Since \({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\) of Mn₃Sb, NbMnP, and TaMnP takes a maximum at temperatures different from \({T}_{\max }\) of \({\sigma }_{xy}^{{\rm{A}}}\), we added error bars for these compounds. As for CoTa₃S₆, error bars are added because there is a variation in reported values of \({\sigma }_{xy}^{{\rm{A}}}\). In Fig. 4f, we use \({\sigma }_{xy}^{{\rm{A}}}\) and \({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\) at \({T}_{\max }\), and also add error bars for \({\sigma }_{xy}^{{\rm{A}}}/{\sigma }_{xx}\) based on this table. References ^{47,48,49,50,51,52,53,54,55}.

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