Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
772 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 772 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. #13123884 | C2 | semidirect |
| 3. #13114766 | C2 | semidirect |
| 4. #13114756 | C2 | semidirect |
| 5. #13112742 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#1513 | C2 | semidirect |
| 20. #11718707 | C4 | semidirect |
| 22. #11718697 | C4 | semidirect |
| 168. #1513 | D13 | semidirect |
| 437. C13 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124062 | 2 |
| #13123884 | 2 |
| #13114766 | 2 |
| #13114756 | 2 |
| #13112742 | 2 |
| #13112712 | 2 |
| C13×#1513 | 2 |
| #9520 | 13 |