Where do transaction fees go in block #163368 The reward of the Coinbase TX  is only 50 BTC not including transaction fees. So who owned  these fees?
As you mentioned this Block and also some other ones in the blockchain as well failed to claim the fees. Some miners missed all fees other only  a few, this can happen for a variety of reasons, almost all of them are bugs in the mining software.


  So who owned these fees?


These coins are lost, the miner failed to claim them and so they are gone.