Flanigan, who will take up his position in early March, is currently director of marketing and communications at AOL UK.
In his new role he will take overall charge of the group's marketing activities, a press release from the group said.
"Barry will be a great asset to the consumer markets team. He will bring with him lots of valuable experience, particularly in the digital arena, and give a refreshing new focus to our marketing efforts," said Michael Moore, executive director of consumer markets for TMG.
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