Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
290 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14531009 | C2 | semidirect |
| 2. #14531008 | C2 | semidirect |
| 3. #14531007 | C2 | semidirect |
| 5. #14528393 | C2 | semidirect |
| 6. #14526700 | C2 | semidirect |
| 7. C17×#2240 | C2 | semidirect |
| 94. #2240 | D17 | semidirect |
| 152. C17 | #12513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531009 | 2 |
| #14531008 | 2 |
| #14531007 | 2 |
| #14528398 | 2 |
| #14528393 | 2 |
| #14526700 | 2 |
| C17×#2240 | 2 |
| #12513 | 17 |