Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 514 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. #14539180 | C2 | semidirect |
| 3. #14529629 | C2 | semidirect |
| 4. #14527376 | C2 | semidirect |
| 5. #14527200 | C2 | semidirect |
| 6. #14526675 | C2 | semidirect |
| 7. C17×#3227 | C2 | semidirect |
| 163. #3227 | D17 | semidirect |
| 263. C17 | #10108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540162 | 2 |
| #14539180 | 2 |
| #14529629 | 2 |
| #14527376 | 2 |
| #14527200 | 2 |
| #14526675 | 2 |
| C17×#3227 | 2 |
| #10108 | 17 |