Its caterpillars can be a pest on cultivated cabbages , but it will lay eggs as well on wild members of the cabbage family such as Charlock Sinapis arvensis and Hedge Mustard Sisybrium officinale . Its caterpillars can be a pest on cultivated cabbages , kale , radish , broccoli , and horseradish but it will readily lay eggs on wild members of the cabbage family such as Charlock Sinapis arvensis and Hedge mustard Sisybrium officinale .