Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
274 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #14526897 | C2 | semidirect |
| 5. #14526884 | C2 | semidirect |
| 6. #14526883 | C2 | semidirect |
| 7. C17×#2161 | C2 | semidirect |
| 116. #2161 | D17 | semidirect |
| 184. C17 | #13497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530411 | 2 |
| #14528840 | 2 |
| #14528831 | 2 |
| #14526897 | 2 |
| #14526884 | 2 |
| #14526883 | 2 |
| C17×#2161 | 2 |
| #13497 | 17 |