Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14530596 | C2 | semidirect |
| 3. #14526824 | C2 | semidirect |
| 4. #14526822 | C2 | semidirect |
| 5. C17×#2165 | C2 | semidirect |
| 125. #2165 | D17 | semidirect |
| 193. C17 | #11993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539243 | 2 |
| #14530596 | 2 |
| #14526824 | 2 |
| #14526822 | 2 |
| C17×#2165 | 2 |
| #11993 | 17 |