Linear representation theory of groups of prime power order

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This article gives specific information, namely, linear representation theory, about a family of groups, namely: groups of prime power order.
View linear representation theory of group families | View other specific information about groups of prime power order

This article discusses linear representation theory of groups of prime power order. The case p = 2 is fairly different from other primes, and the case p=3 is somewhat different.

n Information on groups of order p^n Linear representation theory of groups of order p^n Information on groups of order 2^n Linear representation theory of groups of order 2^n Information on groups of order 3^n Linear representation theory of groups of order 3^n
0 trivial group -- trivial group -- trivial group --
1 group of prime order linear representation theory of group of prime order cyclic group:Z2 linear representation theory of cyclic group:Z2 cyclic group:Z3 linear representation theory of cyclic group:Z3
2 groups of prime-square order linear representation theory of groups of prime-square order groups of order 4 linear representation theory of groups of order 4 groups of order 9 linear representation theory of groups of order 9
3 groups of prime-cube order linear representation theory of groups of prime-cube order groups of order 8 linear representation theory of groups of order 8 groups of order 27 linear representation theory of groups of order 27
4 groups of prime-fourth order linear representation theory of groups of prime-fourth order groups of order 16 linear representation theory of groups of order 16 groups of order 81 linear representation theory of groups of order 81
5 groups of prime-fifth order linear representation theory of groups of prime-fifth order groups of order 32 linear representation theory of groups of order 32 groups of order 243 linear representation theory of groups of order 243
6 groups of prime-sixth order linear representation theory of groups of prime-sixth order groups of order 64 linear representation theory of groups of order 64 groups of order 729 linear representation theory of groups of order 729