Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
400 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14530586 | C2 | semidirect |
| 3. #14527541 | C2 | semidirect |
| 4. #14526833 | C2 | semidirect |
| 5. #14526831 | C2 | semidirect |
| 6. #14526829 | C2 | semidirect |
| 7. C17×#1362 | C2 | semidirect |
| 129. #1362 | D17 | semidirect |
| 200. C17 | #11966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539213 | 2 |
| #14530586 | 2 |
| #14527541 | 2 |
| #14526833 | 2 |
| #14526831 | 2 |
| #14526829 | 2 |
| C17×#1362 | 2 |
| #11966 | 17 |