There are 1 train company operating 2 routes - ICE41, R3. The cheapest train costs $52 and is 4h 54min.
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There are 3 ways to travel from Darmstadt to Bayreuth. 4 buses, 3 trains and 1 by car are possible between the two areas. The by car from Darmstadt to Bayreuth is the cheapest and fastest. The train operated by running from Zeppelinheim to Bayreuth is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!