Schur cover of alternating group:A6

Definition
This group, termed the Schur cover of alternating group:A6 and sometimes denoted $$6 \cdot A_6$$, is defined in the following equivalent ways:


 * 1) It is the unique quasisimple group with center cyclic group:Z6 and quotient group alternating group:A6.
 * 2) It is the defining ingredient::Schur covering group of defining ingredient::alternating group:A6.
 * 3) It is the defining ingredient::Schur covering group of defining ingredient::special linear group:SL(2,9).