Direct product of A5 and SL(2,7)

Definition
This group is defined as the external direct product of the following two groups:


 * 1) The group $$A_5$$, i.e., alternating group:A5 (order 60), which is also $$PSL(2,4)$$ and $$PSL(2,5)$$.
 * 2) The group $$SL(2,7)$$, i.e., special linear group:SL(2,7) (order 336), which is also the double cover of PSL(3,2).