Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
676 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14529766 | C2 | semidirect |
| 3. #14527515 | C2 | semidirect |
| 5. #14527297 | C2 | semidirect |
| 7. C17×#1537 | C2 | semidirect |
| 11. #11763533 | C4 | semidirect |
| 14. #11763474 | C4 | semidirect |
| 186. #1537 | D17 | semidirect |
| 296. C17 | #8496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543195 | 2 |
| #14529766 | 2 |
| #14527515 | 2 |
| #14527507 | 2 |
| #14527297 | 2 |
| #14527293 | 2 |
| C17×#1537 | 2 |
| #8496 | 17 |