The dependence of the angle θ, between the satellite orbital-normal vector ﹩{\hat{{\boldsymbol{n}}}}_{{\rm{orb}}}﹩ and the projected filament direction ﹩{\hat{{\boldsymbol{e}}}}_{{\rm{fil}}}﹩, on group richness N_gal (upper left panel), host halo mass ﹩{\mathrm{log}}_{10}({M}_{200})﹩(upper right panel), the normalized radial distance r/R₂₀₀ (bottom left panel), and the projected distance to the nearest filament D_fil (bottom right panel). The gray dashed line in all panels denotes the isotropic expectation (〈θ〉 = 45^∘). Blue points represent the binned mean values of the angle θ, with error bars indicating the 1σ uncertainty on the mean.