Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 2. #14544950 | C2 | semidirect |
| 3. #14544314 | C2 | semidirect |
| 5. #14543648 | C2 | semidirect |
| 6. #14543634 | C2 | semidirect |
| 26. #11763219 | C4 | semidirect |
| 27. #11763171 | C4 | semidirect |
| 28. #11763169 | C4 | semidirect |
| 34. C17×#501 | C4 | semidirect |
| 216. #501 | #595 | semidirect |
| 301. C17 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545724 | 2 |
| #14544950 | 2 |
| #14544314 | 2 |
| #14544187 | 2 |
| #14543648 | 2 |
| #14543634 | 2 |
| #14540015 | 2 |
| #9377 | 17 |