Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1854 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 1854 conjugacy classes of subgroups — too many to draw. Only its 331 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. C2×#11762673 | C2 | semidirect |
| 3. #14527055 | C2 | semidirect |
| 4. #14527028 | C2 | semidirect |
| 6. C17×#1446 | C2 | semidirect |
| 9. C2×#10587633 | C4 | semidirect |
| 86. C4×Dic17 | C22⋊C4 | semidirect |
| 130. #1446 | D17 | semidirect |
| 201. C17 | #14662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587633 | 2 |
| C2×#11762673 | 2 |
| #14527055 | 2 |
| #14527028 | 2 |
| #14527024 | 2 |
| C17×#1446 | 2 |
| #14662 | 17 |