Overdoor rack comprising: - at least one rack element having at least one crosspiece portion which, in the installed state of the overdoor rack, is vertical; - a first fastening element, which can be connected to the vertical crosspiece portion and has a downwardly open U profile for fitting on the upper side of a door leaf, wherein the first fastening element can be connected in a releasable manner to the vertical crosspiece portion, wherein said first fastening element has a U profile with a relatively long U crossmember; - a second fastening element, which has a downwardly open U profile, having a U crossmember which, in comparison with the first fastening element, is relatively short, - wherein the two fastening elements (11, 12) can be connected optionally, as alternatives, to the vertical crosspiece portion via suitable connecting means, - wherein the U crossmember of the first fastening element and/or the U crossmember of the second fastening element each have at least one sub-portion which is located on a lower level in comparison with the rest of the U crossmember (20, 30), - wherein at least one horizontal crosspiece portion is fitted on the vertical crosspiece portion of the rack element, in the upper region of the same, and said horizontal crosspiece portion of the rack element has at least one connecting element which can be connected in an optionally releasable manner to at least one connecting means of one of the fastening elements (11, 12), - wherein the lower-level sub-portion of the U crossmember (20, 30) at least partially overlaps the horizontal crosspiece portion in the installed state, - wherein the overdoor rack has at least two spaced-apart vertical crosspiece portions which are connected to one another to form a single component via a transverse connecting strut, wherein rack elements are located on the vertical crosspiece portions and/or on the transverse connecting strut, - wherein the crosspiece portion of the rack element, said crosspiece portion being horizontal in the installed state, and the U crossmember of the fastening element together form a U-shaped mount, by means of which the overdoor rack can be hung over a door leaf with no rebate, to be precise such that, in the fitted state, the two vertical crosspiece portions and the transverse connecting strut butt more or less against the door leaf, characterized in that the horizontal crosspiece portion has at least one notch (18, 19) or cutout which, when the overdoor rack is in the installed state, accommodates a connecting means (24, 25) fitted on the U crossmember (20, 30) of the fastening element (11, 12). - at least one rack element having at least one crosspiece portion which, in the installed state of the overdoor rack, is vertical; - a first fastening element, which can be connected to the vertical crosspiece portion and has a downwardly open U profile for fitting on the upper side of a door leaf, wherein the first fastening element can be connected in a releasable manner to the vertical crosspiece portion, wherein said first fastening element has a U profile with a relatively long U crossmember; - a second fastening element, which has a downwardly open U profile, having a U crossmember which, in comparison with the first fastening element, is relatively short, - wherein the two fastening elements (11, 12) can be connected optionally, as alternatives, to the vertical crosspiece portion via suitable connecting means, - wherein the U crossmember of the first fastening element and/or the U crossmember of the second fastening element each have at least one sub-portion which is located on a lower level in comparison with the rest of the U crossmember (20, 30), - wherein at least one horizontal crosspiece portion is fitted on the vertical crosspiece portion of the rack element, in the upper region of the same, and said horizontal crosspiece portion of the rack element has at least one connecting element which can be connected in an optionally releasable manner to at least one connecting means of one of the fastening elements (11, 12), - wherein the lower-level sub-portion of the U crossmember (20, 30) at least partially overlaps the horizontal crosspiece portion in the installed state, - wherein the overdoor rack has at least two spaced-apart vertical crosspiece portions which are connected to one another to form a single component via a transverse connecting strut, wherein rack elements are located on the vertical crosspiece portions and/or on the transverse connecting strut, - wherein the crosspiece portion of the rack element, said crosspiece portion being horizontal in the installed state, and the U crossmember of the fastening element together form a U-shaped mount, by means of which the overdoor rack can be hung over a door leaf with no rebate, to be precise such that, in the fitted state, the two vertical crosspiece portions and the transverse connecting strut butt more or less against the door leaf, characterized in that the horizontal crosspiece portion has at least one notch (18, 19) or cutout which, when the overdoor rack is in the installed state, accommodates a connecting means (24, 25) fitted on the U crossmember (20, 30) of the fastening element (11, 12).