After Russia launched its full-scale invasion of Ukraine in 2022, the West imposed sweeping economic sanctions, cut its access to the global banking system, and sought to isolate Russia diplomatically from the rest of the world.

As President Vladimir V. Putin gathers the leaders of emerging market countries this week in the Russian city of Kazan, he wants to show the West that he has important allies on his side.

Russia is hosting the so-called BRICS group, which stands for Brazil, Russia, India, China and South Africa. This year the meeting, which begins Tuesday, has expanded to include Egypt, Ethiopia, Iran and the United Arab Emirates.

Its wonky name notwithstanding (it was coined by a Wall Street banker in 2001), BRICS now includes countries representing almost half the world’s population and more than 35 percent of global economic output, adjusted by purchasing power.

The conference is intended to present a hefty showcase of economic might but also entice new countries into a coalition Russia hopes to build that would form a new world order not dominated by the West.

“This summit is about Putin punching back,” said Alexander Gabuev, director of the Carnegie Russia Eurasia Center in Berlin. Mr. Putin presents his country’s war in Ukraine as “the spearhead of destroying the old world order and helping to build a new one,” Mr. Gabuev said.