Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1198 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1198 conjugacy classes of subgroups — too many to draw. Only its 183 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. #14538871 | C2 | semidirect |
| 2. #14532067 | C2 | semidirect |
| 3. #14527821 | C2 | semidirect |
| 4. #14527719 | C2 | semidirect |
| 5. #14527292 | C2 | semidirect |
| 6. #14527128 | C2 | semidirect |
| 7. C17×#3497 | C2 | semidirect |
| 172. #3497 | D17 | semidirect |
| 279. C17 | #18186 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538871 | 2 |
| #14532067 | 2 |
| #14527821 | 2 |
| #14527719 | 2 |
| #14527292 | 2 |
| #14527128 | 2 |
| C17×#3497 | 2 |
| #18186 | 17 |