Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
550 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #14529762 | C2 | semidirect |
| 5. #14526687 | C2 | semidirect |
| 6. #14526616 | C2 | semidirect |
| 7. C17×#1503 | C2 | semidirect |
| 11. #11763096 | C4 | semidirect |
| 12. #11763011 | C4 | semidirect |
| 120. C4×Dic17 | SD16 | semidirect |
| 173. #1503 | D17 | semidirect |
| 271. C17 | #9235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538788 | 2 |
| #14531245 | 2 |
| #14529762 | 2 |
| #14527210 | 2 |
| #14526687 | 2 |
| #14526616 | 2 |
| C17×#1503 | 2 |
| #9235 | 17 |