Table 1. Catalog of Hall vector admissible magnetic point groups in collinear antiferromagnets and selected material candidates.

First two rows list type I, and last two rows type III magnetic point groups (MPGs), respectively. We list more material candidates and all magnetic symmetries allowing any Hall signal in table S2. If not referenced otherwise, the material candidate was obtained from the MAGNDATA database (34). MLG marks the magnetic Laue group.

MLG	Centrosymmetric		Noncentrosymmetric		Material	Tensor
	MPG	σ	MPG	σ
1	$\overline{1}$	Arb.	1	Arb.	Fe2O3	$\left(\begin{array}{ccc}{\mathrm{\sigma }}_{\mathit{xx}}& {\mathrm{\sigma }}_{\mathit{xy}}& {\mathrm{\sigma }}_{\mathit{xz}}\\ {\mathrm{\sigma }}_{\mathit{yx}}& {\mathrm{\sigma }}_{\mathit{yy}}& {\mathrm{\sigma }}_{\mathit{yz}}\\ {\mathrm{\sigma }}_{\mathit{xz}}& {\mathrm{\sigma }}_{\mathit{zy}}& {\mathrm{\sigma }}_{\mathit{zz}}\end{array}\right)$
2	2/m	∥aC2 ⊥ℳ	$\frac{2\parallel {\mathbf{a}}_{C_2}}{m\perp \mathcal{M}}$		BiCrO3	$\left(\begin{array}{ccc}{\mathrm{\sigma }}_{\mathit{xx}}& 0& {\mathrm{\sigma }}_{\mathit{xz}}\\ 0& {\mathrm{\sigma }}_{\mathit{yy}}& 0\\ {\mathrm{\sigma }}_{\mathit{xz}}& 0& {\mathrm{\sigma }}_{\mathit{zz}}\end{array}\right)$
2′	2′/m′	$\perp {\mathbf{a}}_{{\mathrm{T}\mathrm{C}}_2}$ $\in \mathrm{T}\mathcal{M}$	$\frac{2\prime \perp {\mathbf{a}}_{{\mathrm{T}\mathrm{C}}_2}}{m\prime \in \mathrm{T}\mathcal{M}}$		CaMnO3 (21)	$\left(\begin{array}{ccc}{\mathrm{\sigma }}_{\mathit{xx}}& {\mathrm{\sigma }}_{\mathit{xy}}& {\mathrm{\sigma }}_{\mathit{xz}}\\ -{\mathrm{\sigma }}_{\mathit{xy}}& {\mathrm{\sigma }}_{\mathit{yy}}& {\mathrm{\sigma }}_{\mathit{yz}}\\ -{\mathrm{\sigma }}_{\mathit{xz}}& -{\mathrm{\sigma }}_{\mathit{yz}}& {\mathrm{\sigma }}_{\mathit{zz}}\end{array}\right)$
2′2′2	m′m′m	$\parallel {\mathbf{a}}_{{\mathrm{C}}_2}$ ⊥ ℳz	$\frac{2\prime 2\prime 2m\prime m\prime 2\parallel {\mathbf{a}}_{{\mathrm{C}}_2}}{m\prime m2\prime \perp {\mathcal{M}}_y}$		RuO2 (27)	$\left(\begin{array}{ccc}{\mathrm{\sigma }}_{\mathit{xx}}& {\mathrm{\sigma }}_{\mathit{xy}}& 0\\ -{\mathrm{\sigma }}_{\mathit{xy}}& {\mathrm{\sigma }}_{\mathit{yy}}& 0\\ 0& 0& {\mathrm{\sigma }}_{\mathit{zz}}\end{array}\right)$
					CoNb3S6 (17)