Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 23. #11762558 | C4 | semidirect |
| 24. #11762556 | C4 | semidirect |
| 25. #11762554 | C4 | semidirect |
| 26. C17×#333 | C4 | semidirect |
| 167. #333 | #595 | semidirect |
| 211. C17 | #9591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544959 | 2 |
| #14544899 | 2 |
| #14544134 | 2 |
| #14543996 | 2 |
| #14543681 | 2 |
| #14543618 | 2 |
| #14527438 | 2 |
| #9591 | 17 |