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

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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