# Subgroup structure of groups of order 2^n

## Contents

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