Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 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. #14528922 | C2 | semidirect |
| 3. #14527572 | C2 | semidirect |
| 6. #14526674 | C2 | semidirect |
| 7. C17×#1278 | C2 | semidirect |
| 149. #1278 | D17 | semidirect |
| 231. C17 | #8900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537905 | 2 |
| #14528922 | 2 |
| #14527572 | 2 |
| #14527224 | 2 |
| #14527167 | 2 |
| #14526674 | 2 |
| C17×#1278 | 2 |
| #8900 | 17 |