Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #14527539 | C2 | semidirect |
| 4. #14527239 | C2 | semidirect |
| 6. #14526659 | C2 | semidirect |
| 7. C17×#1550 | C2 | semidirect |
| 157. #1550 | D17 | semidirect |
| 248. C17 | #10460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538577 | 2 |
| #14528773 | 2 |
| #14527539 | 2 |
| #14527239 | 2 |
| C2×#11762536 | 2 |
| #14526659 | 2 |
| C17×#1550 | 2 |
| #10460 | 17 |