Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131024 | C2 | semidirect |
| 4. #13130199 | C2 | semidirect |
| 5. #13129725 | C2 | semidirect |
| 6. #13129721 | C2 | semidirect |
| 20. C13×#489 | C4 | semidirect |
| 21. #11718741 | C4 | semidirect |
| 22. #11718721 | C4 | semidirect |
| 28. #11718364 | C4 | semidirect |
| 186. #489 | #261 | semidirect |
| 336. C13 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131792 | 2 |
| #13131024 | 2 |
| #13130208 | 2 |
| #13130199 | 2 |
| #13129725 | 2 |
| #13129721 | 2 |
| #13125445 | 2 |
| #8998 | 13 |