Element structure of groups of order 3^n

This article gives specific information, namely, element structure, about a family of groups, namely: groups of order 3^n.
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This article describes the element structure 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 element structure
0	1	1	trivial group
1	3	1	cyclic group:Z3	element structure of cyclic group:Z3
2	9	2	groups of order 9	element structure of groups of order 9
3	27	5	groups of order 27	element structure of groups of order 27
4	81	15	groups of order 81	element structure of groups of order 81
5	243	67	groups of order 243	element structure of groups of order 243
6	729	504	groups of order 729	element structure of groups of order 729
7	2187	9310	groups of order 2187	element structure of groups of order 2187