Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123911 | C2 | semidirect |
| 3. #13113345 | C2 | semidirect |
| 4. #13113344 | C2 | semidirect |
| 5. #13112697 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1496 | C2 | semidirect |
| 13. #11718746 | C4 | semidirect |
| 14. #11718742 | C4 | semidirect |
| 15. #11718734 | C4 | semidirect |
| 16. #11718731 | C4 | semidirect |
| 118. #1496 | D13 | semidirect |
| 291. C13 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125769 | 2 |
| #13123911 | 2 |
| #13113345 | 2 |
| #13113344 | 2 |
| #13112697 | 2 |
| #13112664 | 2 |
| C13×#1496 | 2 |
| #9281 | 13 |