Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
598 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14539243 | C2 | semidirect |
| 3. #14534720 | C2 | semidirect |
| 4. #14527509 | C2 | semidirect |
| 5. #14527381 | C2 | semidirect |
| 6. #14527291 | C2 | semidirect |
| 7. C17×#1300 | C2 | semidirect |
| 170. #1300 | D17 | semidirect |
| 266. C17 | #10090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539773 | 2 |
| #14539243 | 2 |
| #14534720 | 2 |
| #14527509 | 2 |
| #14527381 | 2 |
| #14527291 | 2 |
| C17×#1300 | 2 |
| #10090 | 17 |