Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
344 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 344 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. #14527547 | C2 | semidirect |
| 3. #14526838 | C2 | semidirect |
| 4. #14526831 | C2 | semidirect |
| 5. C17×#2150 | C2 | semidirect |
| 105. #2150 | D17 | semidirect |
| 170. C17 | #11985 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539363 | 2 |
| #14527547 | 2 |
| #14526838 | 2 |
| #14526831 | 2 |
| C17×#2150 | 2 |
| #11985 | 17 |