Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123914 | C2 | semidirect |
| 3. #13113532 | C2 | semidirect |
| 4. #13113235 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112699 | C2 | semidirect |
| 7. C13×#1536 | C2 | semidirect |
| 115. #1536 | D13 | semidirect |
| 284. C13 | #9371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125827 | 2 |
| #13123914 | 2 |
| #13113532 | 2 |
| #13113235 | 2 |
| #13112705 | 2 |
| #13112699 | 2 |
| C13×#1536 | 2 |
| #9371 | 13 |