Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14530578 | C2 | semidirect |
| 3. C2×#11762622 | C2 | semidirect |
| 4. #14530411 | C2 | semidirect |
| 5. #14528831 | C2 | semidirect |
| 6. #14526896 | C2 | semidirect |
| 7. C2×C17×#361 | C2 | semidirect |
| 146. C2×#361 | D17 | semidirect |
| 226. C17 | #13389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763076 | 2 |
| #14530578 | 2 |
| C2×#11762622 | 2 |
| #14530411 | 2 |
| #14528831 | 2 |
| #14526896 | 2 |
| C2×C17×#361 | 2 |
| #13389 | 17 |