Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
834 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 834 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13115677 | C2 | semidirect |
| 3. #13113573 | C2 | semidirect |
| 4. #13113430 | C2 | semidirect |
| 5. #13113276 | C2 | semidirect |
| 6. #13113273 | C2 | semidirect |
| 7. C13×#1965 | C2 | semidirect |
| 168. #1965 | D13 | semidirect |
| 410. C13 | #8472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128710 | 2 |
| #13115677 | 2 |
| #13113573 | 2 |
| #13113430 | 2 |
| #13113276 | 2 |
| #13113273 | 2 |
| C13×#1965 | 2 |
| #8472 | 13 |