Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13123896 | C2 | semidirect |
| 3. #13113390 | C2 | semidirect |
| 4. #13113196 | C2 | semidirect |
| 5. #13112744 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#1510 | C2 | semidirect |
| 12. #11718879 | C4 | semidirect |
| 13. #11718878 | C4 | semidirect |
| 23. #11718632 | C4 | semidirect |
| 24. #11718628 | C4 | semidirect |
| 146. #1510 | D13 | semidirect |
| 367. C13 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125650 | 2 |
| #13123896 | 2 |
| #13113390 | 2 |
| #13113196 | 2 |
| #13112744 | 2 |
| #13112712 | 2 |
| C13×#1510 | 2 |
| #9332 | 13 |