Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
610 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14533780 | C2 | semidirect |
| 3. #14527456 | C2 | semidirect |
| 4. #14527279 | C2 | semidirect |
| 5. #14527174 | C2 | semidirect |
| 6. #14526686 | C2 | semidirect |
| 7. C17×#3226 | C2 | semidirect |
| 190. #3226 | D17 | semidirect |
| 300. C17 | #10239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538244 | 2 |
| #14533780 | 2 |
| #14527456 | 2 |
| #14527279 | 2 |
| #14527174 | 2 |
| #14526686 | 2 |
| C17×#3226 | 2 |
| #10239 | 17 |