Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×#11762638 | C2 | semidirect |
| 3. C2×#11762616 | C2 | semidirect |
| 4. C2×#11762594 | C2 | semidirect |
| 5. #14528831 | C2 | semidirect |
| 6. #14526888 | C2 | semidirect |
| 7. C17×#2148 | C2 | semidirect |
| 157. #2148 | D17 | semidirect |
| 242. C17 | #13392 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538500 | 2 |
| C2×#11762638 | 2 |
| C2×#11762616 | 2 |
| C2×#11762594 | 2 |
| #14528831 | 2 |
| #14526888 | 2 |
| C17×#2148 | 2 |
| #13392 | 17 |