Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
448 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14537859 | C2 | semidirect |
| 3. #14527396 | C2 | semidirect |
| 4. #14527395 | C2 | semidirect |
| 5. #14526647 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#1496 | C2 | semidirect |
| 155. #1496 | D17 | semidirect |
| 246. C17 | #9283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539713 | 2 |
| #14537859 | 2 |
| #14527396 | 2 |
| #14527395 | 2 |
| #14526647 | 2 |
| #14526614 | 2 |
| C17×#1496 | 2 |
| #9283 | 17 |