Subgroup structure of groups of order 2^n

This article gives specific information, namely, subgroup structure, about a family of groups, namely: groups of order 2^n.
View subgroup structure of group families | View other specific information about groups of order 2^n

Subgroup structure by orders of groups

$n$	$2^{n}$	Number of groups of order $2^{n}$	Information on groups	Information on subgroup structure
0	1	1	trivial group	--
1	2	1	cyclic group:Z2	subgroup structure of cyclic group:Z2
2	4	2	groups of order 4	subgroup structure of groups of order 4
3	8	5	groups of order 8	subgroup structure of groups of order 8
4	16	14	groups of order 16	subgroup structure of groups of order 16
5	32	51	groups of order 32	subgroup structure of groups of order 32
6	64	267	groups of order 64	subgroup structure of groups of order 64
7	128	2328	groups of order 128	subgroup structure of groups of order 128
8	256	56092	groups of order 256	subgroup structure of groups of order 256
9	512	10494213	groups of order 512	subgroup structure of groups of order 512

Subgroup structure by orders of groups and subgroups

Group order, subgroup order	2	4	8	16	32	64
4	link
8	link	link
16	link	link	link
32	link	link	link	link
64	link	link	link	link	link