Triple cover of alternating group:A6

Definition
This group, termed the triple cover of alternating group:A6, and denoted $$3 \cdot A_6$$, is defined in the following equivalent ways:


 * 1) It is the unique quasisimple group whose center is isomorphic to cyclic group:Z3 and inner automorphism group is defining ingredient::alternating group:A6.
 * 2) It is the quotient of the Schur cover of alternating group:A6 by a subgroup of order two inside its center (which is isomorphic to cyclic group:Z6).