# Double cover of alternating group:A7

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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 : The order is , which is . |

## GAP implementation

Description | Functions used |
---|---|

PerfectGroup(5040,1) |
PerfectGroup |