Brandon Saad gave Chicago a 3-2 lead at 4:24 of the second period, and Nylander intercepted a cross-ice pass by Dillon Dube and deked Rittich to make it 4-2 at 5:28. Rittich was replaced by Talbot after the goal.
"You always want to score every game and want to help the team win," Nylander said. "Finally, it's come. We've had a lot of chances and [we're] finally getting the bounces in. I'm happy, and we need to build on this as we have really important games the rest of the season."
Lindholm trimmed the lead to 4-3 at 10:56, but Alex DeBrincat scored on a pass from below the goal line by Dylan Strome to make it 5-3 at 17:47.
Nylander, who had two goals in his prior 34 games, scored on a shot from the slot after taking a pass from Matthew Highmore from behind the net 27 seconds later for a 6-3 lead.
"It was a tight game," Toews said. "I took a penalty when it was 4-3. We got a big kill there and turned around and scored two goals, going into the third period with a nice, comfy lead. It was definitely big for our confidence."
Lindholm's shot from the slot on the power play brought Calgary within 6-4 at 14:06 of the third period. He has 12 points (seven goals, five assists) in a 10-game point streak.
Kane made it 7-4 at 16:48, and Kirby Dach scored at 18:59 for the 8-4 final.
"It's nice to see all four lines get in on the offense tonight," Toews said. "I think it helps everyone's confidence. We'll stick with playing the right way, doing the things we know we have to do and playing with energy, and we can get offense from [everyone] in our lineup."
Toews scored 30 seconds into the first period on the game's first shot, which went over Rittich's glove on a 2-on-1 to put Chicago up 1-0. Bennett tied it 1-1 at 2:07 on Dube's cross-crease pass.
Dominik Kubalik put the Blackhawks up 2-1 at 9:17 before Bennett tied it 2-2 on a breakaway at 12:57.
"It's a little frustrating right now," Bennett said. "We pushed back after they scored early. For whatever reason, our defensive zone and our turnovers, we fell apart and gave up way too many odd-man rushes and good looks and they capitalized."