To download all objects using wget:

wget -r -H -N --cut-dirs=4 --include-directories="/v1/" "https://swiftbrowser.dkrz.de/public/dkrz_1e33ba3a-9ecb-452f-93b9-583cf4a66e57/ICON-HDCP2-DE/20160529/?show_all"

Name
RADOLAN
MODIS_Aqua_CorrectedReflectance_TrueColor-TIME_20160529-DOM01-Res_0500m.jpeg
MODIS_Terra_CorrectedReflectance_TrueColor-TIME_20160529-DOM01-Res_0500m.jpeg
animation_germany_20160529_DOM03.mp4