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 | $mathbb Z_{15}$ |