Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
544 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13124777 | C2 | semidirect |
| 3. #13124772 | C2 | semidirect |
| 4. #13114905 | C2 | semidirect |
| 5. #13113195 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#1471 | C2 | semidirect |
| 139. #1471 | D13 | semidirect |
| 345. C13 | #9977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125584 | 2 |
| #13124777 | 2 |
| #13124772 | 2 |
| #13114905 | 2 |
| #13113195 | 2 |
| #13112712 | 2 |
| C13×#1471 | 2 |
| #9977 | 13 |