Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 642 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 |
|---|---|---|
| 1. #13125751 | C2 | semidirect |
| 2. #13125289 | C2 | semidirect |
| 3. #13115675 | C2 | semidirect |
| 4. #13113428 | C2 | semidirect |
| 5. #13113253 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#3253 | C2 | semidirect |
| 130. #3253 | D13 | semidirect |
| 332. C13 | #10104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13125289 | 2 |
| #13115675 | 2 |
| #13113428 | 2 |
| #13113253 | 2 |
| #13112725 | 2 |
| C13×#3253 | 2 |
| #10104 | 13 |