Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1016 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1016 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 |
|---|---|---|
| 1. #14545628 | C2 | semidirect |
| 2. #14545356 | C2 | semidirect |
| 3. #14544254 | C2 | semidirect |
| 4. #14544249 | C2 | semidirect |
| 5. #14544239 | C2 | semidirect |
| 6. #14544234 | C2 | semidirect |
| 251. C17 | #17655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545628 | 2 |
| #14545356 | 2 |
| #14544254 | 2 |
| #14544249 | 2 |
| #14544239 | 2 |
| #14544234 | 2 |
| #14542785 | 2 |
| #17655 | 17 |