# 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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## Contents

## Particular cases

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 |