Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
452 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 3. #14543779 | C2 | semidirect |
| 4. #14543778 | C2 | semidirect |
| 12. C2×#10587630 | C4 | semidirect |
| 15. #11762721 | C4 | semidirect |
| 21. #11762660 | C4 | semidirect |
| 22. C17×#393 | C4 | semidirect |
| 191. #393 | #595 | semidirect |
| 243. C17 | #11900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544646 | 2 |
| #14544022 | 2 |
| #14543779 | 2 |
| #14543778 | 2 |
| #14533952 | 2 |
| #11900 | 17 |