Linear representation theory of double cover of symmetric group
This article gives specific information, namely, linear representation theory, about a family of groups, namely: double cover of symmetric group.
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Note that for every , there are two different double covers and . However, both of them have the same degrees of irreducible representations, though the actual set of irreducible representations depends on the group.
|(order of and||number of irreducible representations (= number of conjugacy classes)||degrees of irreducible representations||number of irreducible representations of (correspond to irreducible representations of either double cover that have the center in the kernel)||degrees of these irreducible representations||number of irreducible representations of the double cover that do not have the center in their kernel||degrees of these irreducible representations||linear representation theory information on||linear representation theory information on|
|4||48||binary octahedral group||general linear group:GL(2,3)||8||1,1,2,2,2,3,3,4||5||1,1,2,3,3||3||2,2,4||link||link|
|5||240||double cover of symmetric group:S5 of minus type||double cover of symmetric group:S5 of plus type||12||1,1,4,4,4,4,4,5,5,6,6,6||7||1,1,4,4,5,5,6||5||4,4,4,6,6||link||link|