Double cover of projective special linear group:PSL(3,4)

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VIEW DEFINITIONS USING THIS AS EXAMPLE: All terms |Group properties |Subgroup properties|
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Definition

This group is defined as the unique quasisimple group whose center is isomorphic to cyclic group:Z2 and inner automorphism group is isomorphic to projective special linear group:PSL(3,4).

Arithmetic functions

Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 40320#Arithmetic functions

Function	Value	Similar groups	Explanation for function value
order (number of elements, equivalently, cardinality or size of underlying set)	40320	groups with same order	Order is $2\times |PSL(3,4)|$, which becomes $2\times 20160=40320$.

GAP implementation

Description	Functions used
PerfectGroup(40320,4)	PerfectGroup