Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14526791 | C2 | semidirect |
| 4. #14526788 | C2 | semidirect |
| 5. C17×#1459 | C2 | semidirect |
| 166. #1459 | D17 | semidirect |
| 262. C17 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14533740 | 2 |
| #14528776 | 2 |
| #14526791 | 2 |
| #14526788 | 2 |
| C17×#1459 | 2 |
| #11884 | 17 |