Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
516 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14530312 | C2 | semidirect |
| 3. #14530262 | C2 | semidirect |
| 4. #14530189 | C2 | semidirect |
| 5. #14526606 | C2 | semidirect |
| 6. #14526604 | C2 | semidirect |
| 7. C17×#1270 | C2 | semidirect |
| 183. #1270 | D17 | semidirect |
| 279. C17 | #7800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14535148 | 2 |
| #14530312 | 2 |
| #14530262 | 2 |
| #14530189 | 2 |
| #14526606 | 2 |
| #14526604 | 2 |
| C17×#1270 | 2 |
| #7800 | 17 |