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-HErZ/20131214/?show_all"

Name
MODIS_Aqua_CorrectedReflectance_TrueColor-TIME_20131214-DOM01-Res_1000m.jpeg
MODIS_Terra_CorrectedReflectance_TrueColor-TIME_20131214-DOM01-Res_1000m.jpeg
dei4_NARVALI_2013121400_ll_DOM01_ML-cape_ml-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-prec-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-rh_2m-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-td_2m-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-tqc_dia-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-tqi_dia-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-tqv_dia-trim.gif
dei4_NARVALI_2013121400_ll_DOM01_ML-wspd_10m-trim.gif