Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13113392 | C2 | semidirect |
| 3. #13113366 | C2 | semidirect |
| 4. #13113197 | C2 | semidirect |
| 5. #13112745 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#2978 | C2 | semidirect |
| 23. #11718707 | C4 | semidirect |
| 24. #11718704 | C4 | semidirect |
| 26. #11718697 | C4 | semidirect |
| 27. #11718694 | C4 | semidirect |
| 144. #2978 | 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 |
|---|---|
| #13125646 | 2 |
| #13113392 | 2 |
| #13113366 | 2 |
| #13113197 | 2 |
| #13112745 | 2 |
| #13112712 | 2 |
| C13×#2978 | 2 |
| #9332 | 13 |