Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
878 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 878 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #14539581 | C2 | semidirect |
| 2. C2×#11762943 | C2 | semidirect |
| 3. #14528705 | C2 | semidirect |
| 4. #14527144 | C2 | semidirect |
| 5. #14527143 | C2 | semidirect |
| 6. #14526672 | C2 | semidirect |
| 7. C2×C17×#447 | C2 | semidirect |
| 202. C2×#447 | D17 | semidirect |
| 319. C17 | #9986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539581 | 2 |
| C2×#11762943 | 2 |
| #14528705 | 2 |
| #14527144 | 2 |
| #14527143 | 2 |
| #14526672 | 2 |
| C2×C17×#447 | 2 |
| #9986 | 17 |