How do specific heat capacity and thermal conductivity differ?

There is a difference between capacity and thermal conductivity.

Thermal conductivity: property of a material that indicates its ability to conduct heat.

The equation of thermal conductivity is:

Specific heat capacity: heat or thermal energy required to increase the temperature of a unit quantity of a substance by one unit. The equation of specific heat is:

This image explains the relationship between specific heat capacity and thermal conductivity :

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So i hope you get the idea why specific heat capacity and thermal conductivity are differ