Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13131002 | C2 | semidirect |
| 4. #13130352 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129705 | C2 | semidirect |
| 21. C13×#476 | C4 | semidirect |
| 22. #11718752 | C4 | semidirect |
| 23. #11718669 | C4 | semidirect |
| 26. #11718511 | C4 | semidirect |
| 197. #476 | #261 | semidirect |
| 352. C13 | #9321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131759 | 2 |
| #13131002 | 2 |
| #13130710 | 2 |
| #13130352 | 2 |
| #13129732 | 2 |
| #13129705 | 2 |
| #13124648 | 2 |
| #9321 | 13 |