Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14528776 | C2 | semidirect |
| 2. #14527558 | C2 | semidirect |
| 3. #14527452 | C2 | semidirect |
| 4. #14527452 | C2 | semidirect |
| 5. #14527175 | C2 | semidirect |
| 6. #14526681 | C2 | semidirect |
| 244. C17 | #10440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528776 | 2 |
| #14527558 | 2 |
| #14527452 | 2 |
| #14527175 | 2 |
| #14526681 | 2 |
| C2×C17×#459 | 2 |
| #10440 | 17 |