Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
678 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 92 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. #14544287 | C2 | semidirect |
| 2. #14544272 | C2 | semidirect |
| 3. #14544115 | C2 | semidirect |
| 4. #14544115 | C2 | semidirect |
| 5. #14544058 | C2 | semidirect |
| 6. #14544057 | C2 | semidirect |
| 383. C17 | #8476 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544287 | 2 |
| #14544272 | 2 |
| #14544115 | 2 |
| #14544058 | 2 |
| #14544057 | 2 |
| #14542705 | 2 |
| #8476 | 17 |