Those numbers simply don't make sense for several reasons. They are with subsidies (not without) as the web page itself states. The numbers for nuclear are likely based on the failed European projects as China and Russia are building a lot of new nuclear power plants cheaper than that.

The biggest issue, though, is LCOE completely ignores the costs associated with the intermittency of wind and solar power. The LCOE is artifically low for intermittent sources and vice-versa for baseload power sources (coal, nuclear, hydro, etc.). When the conditions are right, wind and solar produce a lot of power, but this is not correlated with power demand, and the market price per kWh goes down so much during that time that baseload power is not profitable. Baseload power production is reduced, but the total installed base must remain the same (because you need power when the sun doesn't shine), so LCOE goes up.

LCOE is, conversely, too low for intermittent sources because it only cares about total accumulated production, not if the power was produced when it was actually needed.