Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 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. #13116636 | C2 | semidirect |
| 3. #13116632 | C2 | semidirect |
| 4. #13112762 | C2 | semidirect |
| 5. #13112761 | C2 | semidirect |
| 6. #13112761 | C2 | semidirect |
| 7. C13×#1315 | C2 | semidirect |
| 114. #1315 | D13 | semidirect |
| 272. C13 | #11492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123544 | 2 |
| #13116636 | 2 |
| #13116632 | 2 |
| #13112762 | 2 |
| #13112761 | 2 |
| C13×#1315 | 2 |
| #11492 | 13 |