Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14528776 | C2 | semidirect |
| 3. #14527543 | C2 | semidirect |
| 4. #14527459 | C2 | semidirect |
| 5. #14527236 | C2 | semidirect |
| 6. #14526659 | C2 | semidirect |
| 7. C2×C17×D4⋊C8 | C2 | semidirect |
| 175. C2×D4⋊C8 | D17 | semidirect |
| 269. C17 | #10456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538248 | 2 |
| #14528776 | 2 |
| #14527543 | 2 |
| #14527459 | 2 |
| #14527236 | 2 |
| #14526659 | 2 |
| C2×C17×D4⋊C8 | 2 |
| #10456 | 17 |