Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
432 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14530573 | C2 | semidirect |
| 3. C2×#11762618 | C2 | semidirect |
| 4. #14530497 | C2 | semidirect |
| 5. C2×#11762590 | C2 | semidirect |
| 6. #14528814 | C2 | semidirect |
| 7. C17×#1386 | C2 | semidirect |
| 70. #10587483 | D4 | semidirect |
| 184. #1386 | D17 | semidirect |
| 283. C17 | #13386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538394 | 2 |
| #14530573 | 2 |
| C2×#11762618 | 2 |
| #14530497 | 2 |
| C2×#11762590 | 2 |
| #14528814 | 2 |
| C17×#1386 | 2 |
| #13386 | 17 |