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. #13130310 | C2 | semidirect |
| 3. #13130268 | C2 | semidirect |
| 5. #13129730 | C2 | semidirect |
| 6. #13129713 | C2 | semidirect |
| 20. C13×#497 | C4 | semidirect |
| 25. #11718743 | C4 | semidirect |
| 26. #11718716 | C4 | semidirect |
| 28. #11718363 | C4 | semidirect |
| 183. #497 | #261 | semidirect |
| 334. C13 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131662 | 2 |
| #13130310 | 2 |
| #13130268 | 2 |
| #13130248 | 2 |
| #13129730 | 2 |
| #13129713 | 2 |
| #13125542 | 2 |
| #9431 | 13 |