Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
644 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13114824 | C2 | semidirect |
| 3. #13112834 | C2 | semidirect |
| 4. C13×#1459 | C2 | semidirect |
| 9. C2×#88128 | C4 | semidirect |
| 14. #11718621 | C4 | semidirect |
| 16. C4×C4⋊Dic13 | C4 | semidirect |
| 105. #1459 | D13 | semidirect |
| 296. C13 | #11877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13119782 | 2 |
| #13114824 | 2 |
| #13112834 | 2 |
| C13×#1459 | 2 |
| #11877 | 13 |