Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
872 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 224 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 |
|---|---|---|
| 3. #14544275 | C2 | semidirect |
| 4. #14544248 | C2 | semidirect |
| 5. #14544246 | C2 | semidirect |
| 6. #14544241 | C2 | semidirect |
| 239. C17 | #17692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545630 | 2 |
| #14544275 | 2 |
| #14544248 | 2 |
| #14544246 | 2 |
| #14544241 | 2 |
| #14542606 | 2 |
| #17692 | 17 |