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==Related facts==

===Similar facts=== * [[Commuting fraction in subgroup is at least as much as in whole group]]: This says that the number of conjugacy classes in the subgroup is ''at least'' as much as the number of conjugacy classes in the whole group divided by the index of the subgroup. ===Opposite facts=== * [[Number of conjugacy classes in a subgroup of finite index is bounded by index times number of conjugacy classes in the whole group]]

==Proof==

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