Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
592 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13125420 | C2 | semidirect |
| 3. #13117093 | C2 | semidirect |
| 4. #13117063 | C2 | semidirect |
| 5. #13117060 | C2 | semidirect |
| 6. #13116900 | C2 | semidirect |
| 7. #13116775 | C2 | semidirect |
| 8. #13116633 | C2 | semidirect |
| 9. C13×#2247 | C2 | semidirect |
| 125. #2247 | D13 | semidirect |
| 294. C13 | #33776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125420 | 2 |
| #13125265 | 2 |
| #13117093 | 2 |
| #13117063 | 2 |
| #13117060 | 2 |
| #13116900 | 2 |
| #13116775 | 2 |
| #13116633 | 2 |
| C13×#2247 | 2 |
| #33776 | 13 |