Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14530965 | C2 | semidirect |
| 3. #14530962 | C2 | semidirect |
| 4. #14530274 | C2 | semidirect |
| 5. #14526792 | C2 | semidirect |
| 6. #14526723 | C2 | semidirect |
| 7. C17×#1347 | C2 | semidirect |
| 142. #1347 | D17 | semidirect |
| 223. C17 | #12288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540090 | 2 |
| #14530965 | 2 |
| #14530962 | 2 |
| #14530274 | 2 |
| #14526792 | 2 |
| #14526723 | 2 |
| C17×#1347 | 2 |
| #12288 | 17 |