Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
302 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14530964 | C2 | semidirect |
| 3. #14530290 | C2 | semidirect |
| 4. #14526800 | C2 | semidirect |
| 5. #14526799 | C2 | semidirect |
| 6. #14526725 | C2 | semidirect |
| 7. C17×#2233 | C2 | semidirect |
| 126. #2233 | D17 | semidirect |
| 208. C17 | #12294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540218 | 2 |
| #14530964 | 2 |
| #14530290 | 2 |
| #14526800 | 2 |
| #14526799 | 2 |
| #14526725 | 2 |
| C17×#2233 | 2 |
| #12294 | 17 |