Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
432 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14530570 | C2 | semidirect |
| 3. C2×#11762619 | C2 | semidirect |
| 4. C2×#11762590 | C2 | semidirect |
| 5. #14528818 | C2 | semidirect |
| 6. #14526890 | C2 | semidirect |
| 7. C17×#2139 | C2 | semidirect |
| 74. #10587483 | D4 | semidirect |
| 181. #2139 | D17 | semidirect |
| 283. C17 | #13386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538389 | 2 |
| #14530570 | 2 |
| C2×#11762619 | 2 |
| C2×#11762590 | 2 |
| #14528818 | 2 |
| #14526890 | 2 |
| C17×#2139 | 2 |
| #13386 | 17 |