Double cover of alternating group:A7

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This article is about a particular group, i.e., a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup structure) about this group
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Definition

This group is defined as the double cover of alternating group where the alternating group is alternating group:A7, i.e., has degree 7. More explicitly, it is the unique stem extension with base normal subgroup cyclic group:Z2 and quotient group alternating group:A7.

Arithmetic functions

Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 5040#Arithmetic functions
Function Value Similar groups Explanation
order (number of elements, equivalently, cardinality or size of underlying set) 5040 groups with same order As 2 \cdot A_n, n = 7: The order is 2(n!/2) = n!, which is 7! = 5040.

GAP implementation

Description Functions used
PerfectGroup(5040,1) PerfectGroup