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Definition
This group is defined as the central product of special linear group:SL(2,5) (order 120) and special linear group:SL(2,7) (order 336) where we perform the unique identification of the centers of these two groups with each other.
Arithmetic functions
Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 20160#Arithmetic functions
Function 
Value 
Similar groups 
Explanation

order (number of elements, equivalently, cardinality or size of underlying set) 
20160 
groups with same order 
Using the product formula, we get where the "2" comes because that's the order of the subgroup identified. This gives .

Group properties
GAP implementation
Description 
Functions used

PerfectGroup(20160,3) 
PerfectGroup
