Linear representation theory of groups of order 3^n

This article gives specific information, namely, linear representation theory, about a family of groups, namely: groups of order 3^n.
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This article describes the linear representation theory of groups of order 3^n, i.e., groups whose order is a power of $3$.

$n$	$3^{n}$	Number of groups of order $3^{n}$	Information on groups	Information on linear representation theory
0	1	1	trivial group	linear representation theory of trivial group
1	3	1	cyclic group:Z3	linear representation theory of cyclic group:Z3
2	9	2	groups of order 9 (see specifically cyclic group:Z9 and elementary abelian group:E9)	linear representation theory of groups of order 9 (see specifically linear representation theory of cyclic group:Z9 and linear representation theory of elementary abelian group:E9)
3	27	5	groups of order 27	linear representation theory of groups of order 27, see also linear representation theory of groups of prime-cube order
4	81	15	groups of order 81	linear representation theory of groups of order 81, see also linear representation theory of groups of prime-fourth order
5	243	67	groups of order 243	linear representation theory of groups of order 243
6	729	504	groups of order 729	linear representation theory of groups of order 729
7	2187	9310	groups of order 2187	linear representation theory of groups of order 2187