Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 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. #14530578 | C2 | semidirect |
| 3. #14530531 | C2 | semidirect |
| 4. C2×#11762618 | C2 | semidirect |
| 5. #14530405 | C2 | semidirect |
| 6. #14526882 | C2 | semidirect |
| 7. C17×#1815 | C2 | semidirect |
| 161. #1815 | D17 | semidirect |
| 244. C17 | #13391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538504 | 2 |
| #14530578 | 2 |
| #14530531 | 2 |
| C2×#11762618 | 2 |
| #14530405 | 2 |
| #14526882 | 2 |
| C17×#1815 | 2 |
| #13391 | 17 |