Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 86 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. #14544708 | C2 | semidirect |
| 3. #14544362 | C2 | semidirect |
| 5. #14543670 | C2 | semidirect |
| 6. #14543616 | C2 | semidirect |
| 231. C17 | #8900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545712 | 2 |
| #14544708 | 2 |
| #14544362 | 2 |
| #14544120 | 2 |
| #14543670 | 2 |
| #14543616 | 2 |
| #14527163 | 2 |
| #8900 | 17 |