Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
478 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14530313 | C2 | semidirect |
| 3. #14530188 | C2 | semidirect |
| 4. #14526610 | C2 | semidirect |
| 5. #14526604 | C2 | semidirect |
| 6. #14526604 | C2 | semidirect |
| 7. C17×#2072 | C2 | semidirect |
| 176. #2072 | D17 | semidirect |
| 274. C17 | #7796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14535810 | 2 |
| #14530313 | 2 |
| #14530188 | 2 |
| #14526610 | 2 |
| #14526604 | 2 |
| C17×#2072 | 2 |
| #7796 | 17 |