Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
548 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 548 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 |
|---|---|---|
| 3. #14527348 | C2 | semidirect |
| 4. #14527213 | C2 | semidirect |
| 6. #14526643 | C2 | semidirect |
| 7. C17×#3104 | C2 | semidirect |
| 100. C2×D68 | Q16 | semidirect |
| 184. #3104 | D17 | semidirect |
| 295. C17 | #10002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538577 | 2 |
| #14534142 | 2 |
| #14527348 | 2 |
| #14527213 | 2 |
| #14527176 | 2 |
| #14526643 | 2 |
| C17×#3104 | 2 |
| #10002 | 17 |