Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
472 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14527434 | C2 | semidirect |
| 3. #14527278 | C2 | semidirect |
| 4. #14526615 | C2 | semidirect |
| 5. C17×#1940 | C2 | semidirect |
| 128. #1940 | D17 | semidirect |
| 202. C17 | #10546 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539230 | 2 |
| #14527434 | 2 |
| #14527278 | 2 |
| #14526615 | 2 |
| C17×#1940 | 2 |
| #10546 | 17 |