15阶以下群的结构
| 群的阶数 |
Abel群 |
非Abel群 |
| 1 |
${1}$ |
|
| 2 |
$mathbb Z_{2}$ |
|
| 3 |
$mathbb Z_{3}$ |
|
| 4 |
$mathbb Z_{2}^{2},mathbb Z_{4}$ |
|
| 5 |
$mathbb Z_{5}$ |
|
| 6 |
$mathbb Z_{6}$ |
$S_{3}$ |
| 7 |
$mathbb Z_{7}$ |
|
| 8 |
$mathbb Z_{2}^{3},mathbb Z_{2}oplusmathbb Z_{4},mathbb Z_{8}$ |
$D_{4},mathbb Q_{8}$ |
| 9 |
$mathbb Z_{9},mathbb Z_{3}^{2}$ |
|
| 10 |
$mathbb Z_{10}$ |
$D_{5}$ |
| 11 |
$mathbb Z_{11}$ |
|
| 12 |
$mathbb Z_{12},mathbb Z_{2}^2oplusmathbb Z_{3}$ |
$D_{6},A_{4},T$ |
| 13 |
$mathbb Z_{13}$ |
|
| 14 |
$mathbb Z_{14}$ |
$D_{7}$ |
| 15 |
$mathbb Z_{15}$ |
|
原文地址：https://www.cnblogs.com/xixifeng/p/3875533.html