Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
452 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14528795 | C2 | semidirect |
| 3. #14527434 | C2 | semidirect |
| 4. #14527345 | C2 | semidirect |
| 5. #14527104 | C2 | semidirect |
| 6. #14526644 | C2 | semidirect |
| 7. C17×#1570 | C2 | semidirect |
| 163. #1570 | D17 | semidirect |
| 257. C17 | #10465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538250 | 2 |
| #14528795 | 2 |
| #14527434 | 2 |
| #14527345 | 2 |
| #14527104 | 2 |
| #14526644 | 2 |
| C17×#1570 | 2 |
| #10465 | 17 |