Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
502 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14540172 | C2 | semidirect |
| 2. #14539984 | C2 | semidirect |
| 4. #14529615 | C2 | semidirect |
| 5. #14527297 | C2 | semidirect |
| 6. #14527293 | C2 | semidirect |
| 7. C17×#1307 | C2 | semidirect |
| 181. #1307 | D17 | semidirect |
| 285. C17 | #10214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540172 | 2 |
| #14539984 | 2 |
| #14539781 | 2 |
| #14529615 | 2 |
| #14527297 | 2 |
| #14527293 | 2 |
| C17×#1307 | 2 |
| #10214 | 17 |