Wreath product of Z4 and Z2

Definition
This group is defined as the wreath product of the cyclic group of order four and the cyclic group of order two. In other words, it is the semidirect product $$(\Z_4 \times \Z_4) \rtimes \Z_2$$ where the $$\Z_2$$ acts by coordinate exchange.

Other descriptions
The group can be described using GAP's WreathProduct and CyclicGroup functions:

WreathProduct(CyclicGroup(4),CyclicGroup(2))