Linear representation theory of double cover of alternating group

This article gives specific information, namely, linear representation theory, about a family of groups, namely: double cover of alternating group.
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Particular cases

$n$	$n!$ (order of the group $2\cdot A_{n}$)	The group $2\cdot A_{n}$	number of irreducible representations (= number of conjugacy classes)	degrees of irreducible representations	number of irreducible representations of $A_{n}$ (correspond to irreducible representations of $2\cdot A_{n}$ with center in the kernel	degrees of these irreducible representations	number of irreducible representations of $2\cdot A_{n}$ that are not with center in the kernel	degrees of these irreducible representations	Linear representation theory information
4	24	special linear group:SL(2,3)	7	1,1,1,2,2,2,3	4	1,1,1,3	3	2,2,2	linear representation theory of special linear group:SL(2,3)
5	120	special linear group:SL(2,5)	9	1,2,2,3,3,4,4,5,6	5	1,3,3,4,5	4	2,2,4,6	linear representation theory of special linear group:SL(2,5)
6	720	special linear group:SL(2,9)	13	1,4,4,5,5,8,8,8,8,9,10,10,10	7	1,5,5,8,8,9,10	6	4,4,8,8,10,10	linear representation theory of special linear group:SL(2,9)
7	5040	double cover of alternating group:A7							linear representation theory of double cover of alternating group:A7
8	40320	double cover of alternating group:A8							linear representation theory of double cover of alternating group:A8
9	362880	double cover of alternating group:A9							linear representation theory of double cover of alternating group:A9