Special linear group:SL(2,5)

Definition
This group is defined in the following equivalent ways:


 * 1) As the special linear group: $$SL(2,5)$$ is defined as the member of family::special linear group of degree two: $$2 \times 2$$ matrices of determinant $$1$$ over the field of five elements.
 * 2) As the binary icosahedral group or binary dodecahedral group.
 * 3) As the binary von Dyck group with parameters $$(p,q,r) = (2,3,5)$$.
 * 4) As the double cover of alternating group for alternating group:A5. In other words, it is the unique stem extension where the base normal subgroup is cyclic group:Z2 and the quotient group is alternating group:A5. Viewed this way, it is denoted $$2 \cdot A_5$$.

Other descriptions
The group can be defined using GAP's SpecialLinearGroup function as: