Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13130246 | C2 | semidirect |
| 4. #13130116 | C2 | semidirect |
| 5. #13129740 | C2 | semidirect |
| 6. #13129707 | C2 | semidirect |
| 20. C13×#448 | C4 | semidirect |
| 21. #11718889 | C4 | semidirect |
| 24. #11718695 | C4 | semidirect |
| 28. #11718383 | C4 | semidirect |
| 202. #448 | #261 | semidirect |
| 357. C13 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131713 | 2 |
| #13130261 | 2 |
| #13130246 | 2 |
| #13130116 | 2 |
| #13129740 | 2 |
| #13129707 | 2 |
| #13125663 | 2 |
| #9331 | 13 |