Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1198 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 1198 conjugacy classes of subgroups — too many to draw. Only its 167 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. #14542555 | C2 | semidirect |
| 2. #14538875 | C2 | semidirect |
| 3. #14527820 | C2 | semidirect |
| 4. #14527718 | C2 | semidirect |
| 5. #14527291 | C2 | semidirect |
| 6. #14527128 | C2 | semidirect |
| 7. C17×#2398 | C2 | semidirect |
| 174. #2398 | 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 |
|---|---|
| #14542555 | 2 |
| #14538875 | 2 |
| #14527820 | 2 |
| #14527718 | 2 |
| #14527291 | 2 |
| #14527128 | 2 |
| C17×#2398 | 2 |
| #18186 | 17 |