Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
534 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #14538500 | C2 | semidirect |
| 2. C2×#11763076 | C2 | semidirect |
| 3. C2×#11762622 | C2 | semidirect |
| 4. #14530512 | C2 | semidirect |
| 5. #14530404 | C2 | semidirect |
| 6. #14526896 | C2 | semidirect |
| 7. C2×C17×#509 | C2 | semidirect |
| 185. C2×#509 | D17 | semidirect |
| 290. C17 | #13323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538500 | 2 |
| C2×#11763076 | 2 |
| C2×#11762622 | 2 |
| #14530512 | 2 |
| #14530404 | 2 |
| #14526896 | 2 |
| C2×C17×#509 | 2 |
| #13323 | 17 |