The half-bridge Modular Multilevel Converter (MMC) is a Voltage Source Converter (VSC) with high efficiency, controllability and modularity. The topology is weak to DC side faults unless bipolar sub-modules are used, but this results in decreased efficiency. Power-Groups (PGs), a thyristor augmented multilevel structure, have been proposed as a way to reduce the power-loss increase arising from achieving DCfault-tolerance. This paper investigates whether the PG concept can also achieve significant efficiency improvements in VSCs that are not required to be DC fault tolerant. A Single Sub-Module Voltage (SSMV) method of controlling the turn-on/turn-off of the thyristor assembly within each PG structure is presented and the differences with the previously detailed Dual Sub-Module Voltage (DSMV) technique are described. Two thyristor-based PG structures for use in non-DC-fault-tolerant MMCs are proposed, one using SSMV and the other using DSMV. A comparison is made considering the required semiconductor device count, the impact on thyristor snubber design, and the overall powerlosses achieved. A further, simplified, variant using a diode bypassed PG structure is presented which results in powerloss reductions during rectifier mode only. Results show that power-loss reductions of ∼20-25% can be achieved by using the proposed PG structures to augment a half-bridge MMC.