Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. #13113368 | C2 | semidirect |
| 4. #13113199 | C2 | semidirect |
| 5. #13112744 | C2 | semidirect |
| 6. #13112713 | C2 | semidirect |
| 18. #11718711 | C4 | semidirect |
| 19. #11718705 | C4 | semidirect |
| 21. #11718701 | C4 | semidirect |
| 22. #11718695 | C4 | semidirect |
| 357. C13 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125662 | 2 |
| #13123898 | 2 |
| #13113368 | 2 |
| #13113199 | 2 |
| #13112744 | 2 |
| #13112713 | 2 |
| C13×#1516 | 2 |
| #9331 | 13 |