Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14530984 | C2 | semidirect |
| 2. #14530962 | C2 | semidirect |
| 3. #14530224 | C2 | semidirect |
| 4. #14526802 | C2 | semidirect |
| 5. #14526799 | C2 | semidirect |
| 6. #14526710 | C2 | semidirect |
| 216. C17 | #12287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530984 | 2 |
| #14530962 | 2 |
| #14530224 | 2 |
| #14526802 | 2 |
| #14526799 | 2 |
| #14526710 | 2 |
| C17×#3203 | 2 |
| #12287 | 17 |