Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
724 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 107 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×#11762601 | C2 | semidirect |
| 3. #14528772 | C2 | semidirect |
| 4. C4×C17×#99 | C2 | semidirect |
| 5. C2×#10587560 | C4 | semidirect |
| 12. #11762710 | C4 | semidirect |
| 14. C4×C4⋊Dic17 | C4 | semidirect |
| 50. C17×#99 | D4 | semidirect |
| 164. C4×#99 | D17 | semidirect |
| 195. C4×C17 | #353 | semidirect |
| 253. #99 | D68 | semidirect |
| 257. C17 | #13223 | semidirect |
| 395. C4 | #11762601 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14533730 | 2 |
| C2×#11762601 | 2 |
| #14528772 | 2 |
| C4×C17×#99 | 2 |
| #13223 | 17 |