Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
582 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. #13117088 | C2 | semidirect |
| 4. #13117064 | C2 | semidirect |
| 5. #13117063 | C2 | semidirect |
| 6. #13116884 | C2 | semidirect |
| 9. C13×#2247 | C2 | semidirect |
| 125. #2247 | D13 | semidirect |
| 150. C4×D13 | Q32 | semidirect |
| 289. C13 | #33775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125420 | 2 |
| D13×#494 | 2 |
| #13117088 | 2 |
| #13117064 | 2 |
| #13117063 | 2 |
| #13116884 | 2 |
| #13116768 | 2 |
| #13116633 | 2 |
| C13×#2247 | 2 |
| #33775 | 13 |