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/20130502_2xCCN_Johannes/?show_all"

Name
20130502-default-double_CCN
Humidity_Profiles
Temp_Profiles
WindSpd_Profiles
ICON_DOM123_RADOLAN_5min_precip_2013-05-02.mp4
ICON_DOM3_2CCN_RADOLAN_5min_precip_2013-05-02.mp4