Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
810 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 810 conjugacy classes of subgroups — too many to draw. Only its 176 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 |
|---|---|---|
| 1. #13131565 | C2 | semidirect |
| 2. #13131563 | C2 | semidirect |
| 3. #13130974 | C2 | semidirect |
| 4. #13130972 | C2 | semidirect |
| 5. #13130828 | C2 | semidirect |
| 6. #13130825 | C2 | semidirect |
| 7. #13130761 | C2 | semidirect |
| 8. #13130554 | C2 | semidirect |
| 25. C13×#492 | C4 | semidirect |
| 26. #11718829 | C4 | semidirect |
| 27. #11718753 | C4 | semidirect |
| 28. #11718734 | C4 | semidirect |
| 29. #11718354 | C4 | semidirect |
| 173. #492 | #261 | semidirect |
| 296. C13 | #22282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131565 | 2 |
| #13131563 | 2 |
| #13130974 | 2 |
| #13130972 | 2 |
| #13130828 | 2 |
| #13130825 | 2 |
| #13130761 | 2 |
| #13130554 | 2 |
| #13125259 | 2 |
| #22282 | 13 |