Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14527554 | C2 | semidirect |
| 4. #14527348 | C2 | semidirect |
| 6. #14526643 | C2 | semidirect |
| 7. C17×#1542 | C2 | semidirect |
| 148. #1542 | D17 | semidirect |
| 236. C17 | #10468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538577 | 2 |
| #14528795 | 2 |
| #14527554 | 2 |
| #14527348 | 2 |
| #14527104 | 2 |
| #14526643 | 2 |
| C17×#1542 | 2 |
| #10468 | 17 |