Linear representation theory of groups of prime power order

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