Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
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. #14539709 | C2 | semidirect |
| 3. #14529774 | C2 | semidirect |
| 4. #14527375 | C2 | semidirect |
| 5. #14527201 | C2 | semidirect |
| 6. #14526674 | C2 | semidirect |
| 7. C17×#3152 | C2 | semidirect |
| 165. #3152 | D17 | semidirect |
| 264. C17 | #10106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540162 | 2 |
| #14539709 | 2 |
| #14529774 | 2 |
| #14527375 | 2 |
| #14527201 | 2 |
| #14526674 | 2 |
| C17×#3152 | 2 |
| #10106 | 17 |