Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
280 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14531067 | C2 | semidirect |
| 4. #14526835 | C2 | semidirect |
| 5. #14526754 | C2 | semidirect |
| 7. C17×#2227 | C2 | semidirect |
| 121. #2227 | D17 | semidirect |
| 196. C17 | #12403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541360 | 2 |
| #14531067 | 2 |
| #14528294 | 2 |
| #14526835 | 2 |
| #14526754 | 2 |
| #14526741 | 2 |
| C17×#2227 | 2 |
| #12403 | 17 |