Colin White had a goal and an assist, and Hogberg made 26 saves for Ottawa (16-22-6), which is on a season-long six-game winless streak (0-4-2).
"I thought we played well enough to win," Senators coach D.J. Smith said. "We got after them on the forecheck, we tracked the puck and we did a good job in the d-zone, and [Hogberg] was great. When a goalie plays that well, you want to get them a win."
The Red Wings took a 1-0 lead at 14:55 of the first period when Bertuzzi tipped Hronek's pass into the top of the net.
Larkin made it 2-0 at 5:32 of the second period, scoring on a power play on an end-to-end rush to extend his point streak to five games (two goals, three assists). It was his 99th NHL goal.
"I saw an opening and I could see most of their guys were standing still," Larkin said. "I always see [Valtteri] Filppula using his head fake to beat guys, so I used that on the first guy and then used my speed."
Ottawa cut the lead to 2-1 at 5:54 when Brady Tkachuk's shot deflected in off Patrik Nemeth, and White tied the game 2-2 at 10:42 on the power play.
"I knew if I kept playing the right way I'd get a bounce at some point," said Tkachuk, who had gone five games without a point. "We had a lot of chances, but we have to do a better chance of finishing them."
Hogberg made back-to-back lunging saves on Filppula in overtime before Mike Green hit the post.
"I'm not exactly sure what happened there," Hogberg said. "There were a lot of pucks flying around and I was just trying to get in front of them. I think one was off my glove, one was off my stick and one might have hit the post."
White, who slid across the crease to try to knock away Filppula's first shot, didn't get a good look at the sequence.
"I was lying in the crease trying to protect my face," Larkin said. "That was crazy."
