Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
716 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 163 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. C22×#10587499 | C2 | semidirect |
| 3. #14539273 | C2 | semidirect |
| 4. #14537635 | C2 | semidirect |
| 5. #14530842 | C2 | semidirect |
| 6. #14530828 | C2 | semidirect |
| 7. #14530544 | C2 | semidirect |
| 8. #14530489 | C2 | semidirect |
| 9. C17×#2141 | C2 | semidirect |
| 22. #11763194 | C22 | semidirect |
| 23. #11763187 | C22 | semidirect |
| 28. #11762627 | C22 | semidirect |
| 29. #11762612 | C22 | semidirect |
| 30. #11762609 | C22 | semidirect |
| 34. C17×#358 | C22 | semidirect |
| 164. #2141 | D17 | semidirect |
| 204. #358 | C2×D17 | semidirect |
| 253. C17 | #33586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763247 | 2 |
| C22×#10587499 | 2 |
| #14539273 | 2 |
| #14537635 | 2 |
| #14530842 | 2 |
| #14530828 | 2 |
| #14530544 | 2 |
| #14530489 | 2 |
| C17×#2141 | 2 |
| #33586 | 17 |