Triple cover of alternating group:A7
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This group, termed the triple cover of alternating group:A7, and denoted , is defined in the following equivalent ways:
- It is the unique quasisimple group whose center is isomorphic to cyclic group:Z3 and inner automorphism group is alternating group:A7.
- It is the quotient of the Schur cover of alternating group:A7 by a subgroup of order two inside its center (which is isomorphic to cyclic group:Z6).
Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 7560#Arithmetic functions
Basic arithmetic functions
|Function||Value||Similar groups||Explanation for function value|
|order (number of elements, equivalently, cardinality or size of underlying set)||7560||groups with same order||As :|
|PerfectGroup(7560,1) or simply PerfectGroup(7560)||PerfectGroup|