Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
520 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 520 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 |
|---|---|---|
| 2. #14538435 | C2 | semidirect |
| 3. C2×#11762625 | C2 | semidirect |
| 4. #14530520 | C2 | semidirect |
| 5. #14530413 | C2 | semidirect |
| 6. #14526899 | C2 | semidirect |
| 7. C2×C17×#510 | C2 | semidirect |
| 184. C2×#510 | D17 | semidirect |
| 286. C17 | #13311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538500 | 2 |
| #14538435 | 2 |
| C2×#11762625 | 2 |
| #14530520 | 2 |
| #14530413 | 2 |
| #14526899 | 2 |
| C2×C17×#510 | 2 |
| #13311 | 17 |