Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
912 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14528772 | C2 | semidirect |
| 3. #14528716 | C2 | semidirect |
| 4. #14526652 | C2 | semidirect |
| 5. C17×#2973 | C2 | semidirect |
| 11. #11762726 | C4 | semidirect |
| 12. #11762718 | C4 | semidirect |
| 34. C22×C8×C17 | D4 | semidirect |
| 170. #2973 | D17 | semidirect |
| 246. C22×C8 | C22⋊D17 | semidirect |
| 271. C17 | #9472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532140 | 2 |
| #14528772 | 2 |
| #14528716 | 2 |
| #14526652 | 2 |
| C17×#2973 | 2 |
| #9472 | 17 |