Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
200 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 200 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 |
|---|---|---|
| 1. C2×#11762647 | C2 | semidirect |
| 2. C2×#11762643 | C2 | semidirect |
| 3. #14530875 | C2 | semidirect |
| 4. #14526983 | C2 | semidirect |
| 5. #14526964 | C2 | semidirect |
| 6. #14526962 | C2 | semidirect |
| 39. #10587465 | D4 | semidirect |
| 135. C17 | #13699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762647 | 2 |
| C2×#11762643 | 2 |
| #14530875 | 2 |
| #14526983 | 2 |
| #14526964 | 2 |
| #14526962 | 2 |
| C17×#2215 | 2 |
| #13699 | 17 |