Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
574 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 574 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. #13125761 | C2 | semidirect |
| 3. #13115826 | C2 | semidirect |
| 4. #13113427 | C2 | semidirect |
| 5. #13113253 | C2 | semidirect |
| 6. #13112726 | C2 | semidirect |
| 7. C13×#3152 | C2 | semidirect |
| 128. #3152 | D13 | semidirect |
| 313. C13 | #10106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126214 | 2 |
| #13125761 | 2 |
| #13115826 | 2 |
| #13113427 | 2 |
| #13113253 | 2 |
| #13112726 | 2 |
| C13×#3152 | 2 |
| #10106 | 13 |