Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13125325 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13116556 | C2 | semidirect |
| 5. #13115735 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 7. C2×C13×#510 | C2 | semidirect |
| 149. C2×#510 | D13 | semidirect |
| 358. C13 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13125325 | 2 |
| #13116573 | 2 |
| #13116556 | 2 |
| #13115735 | 2 |
| #13112923 | 2 |
| C2×C13×#510 | 2 |
| #13335 | 13 |