Direct product of A5 and Z2

Definition
This group is defined in the following equivalent ways:


 * 1) It is the full icosahedral group: it is the group of all rigid symetries of the regular icosahedron, including both orientation-preserving symmetries and orientation-reversing symmetries.
 * 2) It is the external direct product of the alternating group of degree five and the cyclic group of order two.