Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 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. #14530558 | C2 | semidirect |
| 3. #14530531 | C2 | semidirect |
| 4. #14530511 | C2 | semidirect |
| 5. #14530395 | C2 | semidirect |
| 6. #14526898 | C2 | semidirect |
| 7. C17×#1810 | C2 | semidirect |
| 66. C2×#63214 | D4 | semidirect |
| 161. #1810 | D17 | semidirect |
| 248. C17 | #13395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538365 | 2 |
| #14530558 | 2 |
| #14530531 | 2 |
| #14530511 | 2 |
| #14530395 | 2 |
| #14526898 | 2 |
| C17×#1810 | 2 |
| #13395 | 17 |