Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 1. #14529830 | C2 | semidirect |
| 2. #14527752 | C2 | semidirect |
| 4. #14526814 | C2 | semidirect |
| 5. #14526787 | C2 | semidirect |
| 6. #14526718 | C2 | semidirect |
| 7. C17×#2832 | C2 | semidirect |
| 169. #2832 | D17 | semidirect |
| 265. C17 | #12199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529830 | 2 |
| #14527752 | 2 |
| #14527718 | 2 |
| #14526814 | 2 |
| #14526787 | 2 |
| #14526718 | 2 |
| C17×#2832 | 2 |
| #12199 | 17 |