Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
234 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14527681 | C2 | semidirect |
| 4. #14526847 | C2 | semidirect |
| 5. #14526833 | C2 | semidirect |
| 7. C17×#2209 | C2 | semidirect |
| 97. #2209 | D17 | semidirect |
| 158. C17 | #12496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530824 | 2 |
| #14528391 | 2 |
| #14527681 | 2 |
| #14526847 | 2 |
| #14526833 | 2 |
| #14526831 | 2 |
| C17×#2209 | 2 |
| #12496 | 17 |