Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
924 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14540171 | C2 | semidirect |
| 2. #14539294 | C2 | semidirect |
| 3. #14528068 | C2 | semidirect |
| 4. #14528019 | C2 | semidirect |
| 5. #14527522 | C2 | semidirect |
| 6. #14527235 | C2 | semidirect |
| 236. C17 | #18701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540171 | 2 |
| #14539294 | 2 |
| #14528068 | 2 |
| #14528019 | 2 |
| #14527522 | 2 |
| #14527235 | 2 |
| C17×#3548 | 2 |
| #18701 | 17 |